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in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
$ \begin { align } \phantom { ( 3i ) ^2 } & amp ; =9\goldd { i^2 } \\ & amp ; =9 ( \goldd { -1 } ) \\ & amp ; =-9 \end { align } $ the fact that $ ( 3i ) ^2=-9 $ means that $ 3i $ is a square root of $ -9 $ . check your understanding in this way , we can see that pure imaginary numbers are the square roots of negative ...
are there any practical or real life uses for imaginary numbers ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
the imaginary unit the backbone of this new number system is the imaginary unit , or the number $ i $ . the following is true of the number $ i $ : $ i=\sqrt { -1 } $ $ i^2=-1 $ the second property shows us that the number $ i $ is indeed a solution to the equation $ x^2=-1 $ . the previously unsolvable equation is now...
what is the cube root of -1 ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
$ \begin { align } \phantom { ( 3i ) ^2 } & amp ; =9\goldd { i^2 } \\ & amp ; =9 ( \goldd { -1 } ) \\ & amp ; =-9 \end { align } $ the fact that $ ( 3i ) ^2=-9 $ means that $ 3i $ is a square root of $ -9 $ . check your understanding in this way , we can see that pure imaginary numbers are the square roots of negative ...
how can i remember the pattern for imaginary numbers ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
however , a solution to the equation $ x^2=-1 $ does exist in a new number system called the complex number system . the imaginary unit the backbone of this new number system is the imaginary unit , or the number $ i $ . the following is true of the number $ i $ : $ i=\sqrt { -1 } $ $ i^2=-1 $ the second property shows...
is there such a thing as an imaginary number of an imaginary number ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
$ \begin { align } \phantom { ( 3i ) ^2 } & amp ; =9\goldd { i^2 } \\ & amp ; =9 ( \goldd { -1 } ) \\ & amp ; =-9 \end { align } $ the fact that $ ( 3i ) ^2=-9 $ means that $ 3i $ is a square root of $ -9 $ . check your understanding in this way , we can see that pure imaginary numbers are the square roots of negative ...
are imaginary numbers created solely for solving quadratics with no theoretical solutions ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
with only the rational numbers , we ca n't solve $ x^2=2 $ . enter the irrational numbers and the real number system ! and so , with only the real numbers , we ca n't solve $ x^2=-1 $ . we need the imaginary numbers for this !
if imaginary numbers are n't real , how is it possible to use them in real life ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
example simplify $ \sqrt { -18 } $ . solution first , let 's notice that $ \sqrt { -18 } $ is an imaginary number , since it is the square root of a negative number . so , we can start by rewriting $ \sqrt { -18 } $ as $ i\sqrt { 18 } $ .
so if i is the square root of -1 then whatever the number is that when squared is equal to negative one , is also equal to i ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ .
how can anything so unrealistic be used in applications ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number ! however , a solution to the equation $ x^2=-1 $ does exist in a new number system called the complex number system .
why the value of i3 is negative ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
with only the integers , we ca n't solve $ 3x-1=0 $ ; we need the rational numbers for this ! with only the rational numbers , we ca n't solve $ x^2=2 $ . enter the irrational numbers and the real number system ! and so , with only the real numbers , we ca n't solve $ x^2=-1 $ .
what is the definition of rational numbers ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
$ \begin { align } \phantom { ( 3i ) ^2 } & amp ; =9\goldd { i^2 } \\ & amp ; =9 ( \goldd { -1 } ) \\ & amp ; =-9 \end { align } $ the fact that $ ( 3i ) ^2=-9 $ means that $ 3i $ is a square root of $ -9 $ . check your understanding in this way , we can see that pure imaginary numbers are the square roots of negative ...
when and by who were imaginary numbers thought of ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number ! however , a solution to the equation $ x^2=-1 $ does exist in a new number system called the complex number system . the ...
why do we deal with complex number , if they consists of imaginary things ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
original equivalence | thought process - | - $ \begin { align } \sqrt { -9 } = 3i \end { align } $ | the square root of $ -9 $ is an imaginary number . the square root of $ 9 $ is $ 3 $ , so the square root of negative $ 9 $ is $ \textit 3 $ imaginary units , or $ 3i $ . the following property explains the above `` tho...
so why is it that the square root of -24 can be answered as i * the square root of 24 , but the square root of -18 requires this big process that yields 3i * the square root of 2 ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
original equivalence | thought process - | - $ \begin { align } \sqrt { -9 } = 3i \end { align } $ | the square root of $ -9 $ is an imaginary number . the square root of $ 9 $ is $ 3 $ , so the square root of negative $ 9 $ is $ \textit 3 $ imaginary units , or $ 3i $ . the following property explains the above `` tho...
in other words , why is the square root of -18 not simply i * the square root of 18 ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
check your understanding in this way , we can see that pure imaginary numbers are the square roots of negative numbers ! simplifying pure imaginary numbers the table below shows examples of pure imaginary numbers in both unsimplified and in simplified form . unsimplified form | simplified form : - : | : - : | - $ \sqrt...
in the second paragraph of pure imaginary numbers , why does the it says things like isqrt ( 5 ) instead of sqrt ( 5 ) i ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
original equivalence | thought process - | - $ \begin { align } \sqrt { -9 } = 3i \end { align } $ | the square root of $ -9 $ is an imaginary number . the square root of $ 9 $ is $ 3 $ , so the square root of negative $ 9 $ is $ \textit 3 $ imaginary units , or $ 3i $ . the following property explains the above `` tho...
when simplifying a negative square root like -10 , why would n't you be able to use 2i principle square root of 5 ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
example simplify $ \sqrt { -18 } $ . solution first , let 's notice that $ \sqrt { -18 } $ is an imaginary number , since it is the square root of a negative number . so , we can start by rewriting $ \sqrt { -18 } $ as $ i\sqrt { 18 } $ .
the square root of 2 ) and the imaginary number are together , in a+bi format , would the radical come before or after `` i '' ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number ! however , a solution to the equation $ x^2=-1 $ does exist in a new number system called the complex number system .
what does negative '' i `` mean ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number ! however , a solution to the equation $ x^2=-1 $ does exist in a new number system called the complex number system .
what does it mean for a number to be a a `` perfect square ' ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ .
what is the value of i cubed ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
original equivalence | thought process - | - $ \begin { align } \sqrt { -9 } = 3i \end { align } $ | the square root of $ -9 $ is an imaginary number . the square root of $ 9 $ is $ 3 $ , so the square root of negative $ 9 $ is $ \textit 3 $ imaginary units , or $ 3i $ . the following property explains the above `` tho...
i 'm not getting that how 4i is the square root of 16 ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ .
how do you calculate the area of a circle when its radius is i ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
the imaginary unit the backbone of this new number system is the imaginary unit , or the number $ i $ . the following is true of the number $ i $ : $ i=\sqrt { -1 } $ $ i^2=-1 $ the second property shows us that the number $ i $ is indeed a solution to the equation $ x^2=-1 $ . the previously unsolvable equation is now...
i= -1^ ( 1/2 ) = -1^ ( 2/4 ) = ( -1^2 ) ^ ( 1/4 ) = 1^ ( 1/4 ) = 1 what is wrong in this that it makes i equal to 1 rather than ( -1 ) ^ ( 1/2 ) ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
so , we can start by rewriting $ \sqrt { -18 } $ as $ i\sqrt { 18 } $ . next we can simplify $ \sqrt { 18 } $ using what we already know about simplifying radicals . the work is shown below .
how do i know what i^32 is ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
however , a solution to the equation $ x^2=-1 $ does exist in a new number system called the complex number system . the imaginary unit the backbone of this new number system is the imaginary unit , or the number $ i $ . the following is true of the number $ i $ : $ i=\sqrt { -1 } $ $ i^2=-1 $ the second property shows...
is there a pattern in the imaginary number ?
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ . this is because it is impossible to square a real number and get a negative number !...
in your study of mathematics , you may have noticed that some quadratic equations do not have any real number solutions . for example , try as you may , you will never be able to find a real number solution to the equation $ x^2=-1 $ .
what is larger the moon or the sun ?
ukiyo-e ( literally “ pictures of the floating world ” ) is the name given to paintings and prints primarily depicting the transitory world of the licensed pleasure quarters ( yoshiwara ) , the theater and pleasure quarters of edo , present-day tokyo , japan . it is a composite term of uki ( floating ) , yo ( world ) ,...
by the time of hokusai and hiroshige , ukiyo-e prints were produced with up to twenty different colors , virtually each requiring its own carved block . artists were constantly trying to outdo one another in their prints , not only with beautiful colors , but also clever compositions .
why did artists paint religois things ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
2a : $ \begin { align } \text { poh } & amp ; =-\log [ \text { oh } ^- ] \ \ & amp ; =-\log ( 1.0\times10^ { -3 } ) \ \ & amp ; =3.00\end { align } $ the $ \text { poh } $ of our solution is $ 3.00 $ . step 4 : calculate $ \text { ph } $ from $ \text { poh } $ using eq . 3 we can calculate $ \text { ph } $ from $ \text...
how does the temperature affect the ph and poh ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
for example , a $ 1.0\ , \text m $ solution of strong acid $ \text { hcl } $ will have a higher concentration of $ \text { h } ^+ $ than a $ 1.0\ , \text m $ solution of weak acid $ \text { hf } $ . thus , for two solutions of monoprotic acid at the same concentration , $ \text { ph } $ will be proportional to acid str...
can someone please explain what are monoprotic and diprotic acids ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
what does m stand for in the unit labels ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
2a : $ \begin { align } \text { poh } & amp ; =-\log [ \text { oh } ^- ] \ \ & amp ; =-\log ( 1.0\times10^ { -3 } ) \ \ & amp ; =3.00\end { align } $ the $ \text { poh } $ of our solution is $ 3.00 $ . step 4 : calculate $ \text { ph } $ from $ \text { poh } $ using eq . 3 we can calculate $ \text { ph } $ from $ \text...
how can we solve ph , poh numericals without using scientific calculator during our examination ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
for example , a $ 1.0\ , \text m $ solution of strong acid $ \text { hcl } $ will have a higher concentration of $ \text { h } ^+ $ than a $ 1.0\ , \text m $ solution of weak acid $ \text { hf } $ . thus , for two solutions of monoprotic acid at the same concentration , $ \text { ph } $ will be proportional to acid str...
could someone explain the difference between acid strength and concentration ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
the $ \text { ph } $ scale allows us to easily rank different substances by their $ \text { ph } $ value . the $ \text { ph } $ scale is a negative logarithmic scale . the logarithmic part means that $ \text { ph } $ changes by $ 1 $ unit for every factor of $ 10 $ change in concentration of $ \text { h } ^+ $ .
how can naoh have a ph scale ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
method 2 . use moles of $ \text { h } ^+ $ to calculate $ \text { ph } $ step 1 : calculate moles of $ \text { h } ^+ $ we can use the $ \text { ph } $ and volume of the original solution to calculate the moles of $ \text { h } ^+ $ in the solution . $ \begin { align } \text { moles h } ^+ & amp ; = [ \text h^+ ] _ { i...
how can a base add h+ ions to the solution ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
summary we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the fo...
what is the ph of the solution at 25 c ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
3 we can calculate $ \text { ph } $ from $ \text { poh } $ using eq . 3 . rearranging to solve for our unknown , $ \text { ph } $ : $ \text { ph } =14-\text { poh } $ we can substitute the value of $ \text { poh } $ we found in step 3 to find the $ \text { ph } $ : $ \text { ph } =14-3.00=11.00 $ therefore , the $ \tex...
where does the -3 exponent come from ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
where does the random number come in ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
some important terminology to remember for aqueous solutions at $ 25\ , ^\circ\text { c } $ : for a neutral solution , $ \text { ph } =7 $ . acidic solutions have $ \text { ph } & lt ; 7 $ . basic solutions have $ \text { ph } & gt ; 7 $ .
why hcl is more acidic than hf f ion has more electonegativity ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
2a : $ \begin { align } \text { poh } & amp ; =-\log [ \text { oh } ^- ] \ \ & amp ; =-\log ( 1.0\times10^ { -3 } ) \ \ & amp ; =3.00\end { align } $ the $ \text { poh } $ of our solution is $ 3.00 $ . step 4 : calculate $ \text { ph } $ from $ \text { poh } $ using eq . 3 we can calculate $ \text { ph } $ from $ \text...
if we 're using the ph and poh scale , does this mean we 're also using the arrhenius theory for acids and bases ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
the $ \text { ph } $ scale allows us to easily rank different substances by their $ \text { ph } $ value . the $ \text { ph } $ scale is a negative logarithmic scale . the logarithmic part means that $ \text { ph } $ changes by $ 1 $ unit for every factor of $ 10 $ change in concentration of $ \text { h } ^+ $ .
can ph be negative or higher than 14 ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
for example , a $ 1.0\ , \text m $ solution of strong acid $ \text { hcl } $ will have a higher concentration of $ \text { h } ^+ $ than a $ 1.0\ , \text m $ solution of weak acid $ \text { hf } $ . thus , for two solutions of monoprotic acid at the same concentration , $ \text { ph } $ will be proportional to acid str...
does ph of a monoprotic acid and a diprotic acid is same when they have equal concentration ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
therefore , if the concentration of $ \text { h } ^+ $ decreases by a single factor of $ 10 $ , then the $ \text { ph } $ will increase by $ 1 $ unit . since the original volume , $ 100\text { ml } $ , is one tenth the total volume after dilution , the concentration of $ \text h^+ $ in solution has been reduced by a fa...
isnt the concentration = moles/ volume ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
relationship between $ \text { ph } $ and acid strength based on the equation for $ \text { ph } $ , we know that $ \text { ph } $ is related to $ [ \text { h } ^+ ] $ . however , it is important to remember that $ \text { ph } $ is not always directly related to acid strength . the strength of an acid depends on the a...
if we add acid to water or water to acid , what 's the difference ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
summary we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the fo...
what does ph+poh add up to in other temperatures , ex.30'c ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
use moles of $ \text { h } ^+ $ to calculate $ \text { ph } $ step 1 : calculate moles of $ \text { h } ^+ $ we can use the $ \text { ph } $ and volume of the original solution to calculate the moles of $ \text { h } ^+ $ in the solution . $ \begin { align } \text { moles h } ^+ & amp ; = [ \text h^+ ] _ { initial } \t...
surely the molarity calculations are only correct if that assumption is made ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
3 we can calculate $ \text { ph } $ from $ \text { poh } $ using eq . 3 . rearranging to solve for our unknown , $ \text { ph } $ : $ \text { ph } =14-\text { poh } $ we can substitute the value of $ \text { poh } $ we found in step 3 to find the $ \text { ph } $ : $ \text { ph } =14-3.00=11.00 $ therefore , the $ \tex...
for your hint 3 , why is the number 0.010 in your negative log slot rather than 0.025 m ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
for example , a $ 1.0\ , \text m $ solution of strong acid $ \text { hcl } $ will have a higher concentration of $ \text { h } ^+ $ than a $ 1.0\ , \text m $ solution of weak acid $ \text { hf } $ . thus , for two solutions of monoprotic acid at the same concentration , $ \text { ph } $ will be proportional to acid str...
how can an acid have a ph ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
the $ \text { ph } $ scale : acidic , basic , and neutral solutions converting $ [ \text { h } ^+ ] $ to $ \text { ph } $ is a convenient way to gauge the relative acidity or basicity of a solution . the $ \text { ph } $ scale allows us to easily rank different substances by their $ \text { ph } $ value . the $ \text {...
hcl does n't have any free floating h+ ions , then how can it have a ph value ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
for a derivation of this equation , check out the article on the autoionization of water . example 1 : calculating the $ \text { ph } $ of a strong base solution if we use $ 1.0\text { mmol } $ of $ \text { naoh } $ to make $ 1.0\text { l } $ of an aqueous solution at $ 25\ , ^\circ\text { c } $ , what is the $ \text {...
why is ti when calculating the ph of a strong base solution it changes from mol to mol to m ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
since the original volume , $ 100\text { ml } $ , is one tenth the total volume after dilution , the concentration of $ \text h^+ $ in solution has been reduced by a factor of $ 10 $ . therefore , the $ \text { ph } $ of the solution will increase $ 1 $ unit : $ \begin { align } \text { ph } & amp ; =\text { original p...
what is the ph of 1 x 10^-8 m solution of hcl ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
let 's go through the calculation step-by-step . step 1 . calculate the molar concentration of $ \text { naoh } $ molar concentration is equal to moles of solute per liter of solution : $ \text { molar concentration } =\dfrac { \text { mol solute } } { \text { l solution } } $ to calculate the molar concentration of $ ...
for example in question 1 it says the molar concentration of the naoh is 1x10-3 , but where did that come from ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
what is the $ \text { ph } $ of the diluted solution ? there are multiple ways to solve this problem . we will go over two different methods .
in problem one , is calcium hydroxide dissociated completely ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
while we could also describe the acidity or basicity of a solution in terms of $ \text { poh } $ , it is a little more common to use $ \text { ph } $ . luckily , we can easily convert between $ \text { ph } $ and $ \text { poh } $ values . concept check : based on the $ \text { ph } $ scale given above , which solution...
how to convert normality to molarity and find ph ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
example $ 2 $ : determining the $ \text { ph } $ of a diluted strong acid solution we have $ 100\text { ml } $ of a nitric acid solution with a $ \text { ph } $ of $ 4.0 $ . we dilute the solution by adding water to get a total volume of $ 1.0\text { l } $ . what is the $ \text { ph } $ of the diluted solution ?
my question is , should n't adding water affect the [ h+ ] final since water also has hydrogen ions ( [ h+ ] in water : 1.0*10^-7 ) ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
the $ \text { ph } $ scale allows us to easily rank different substances by their $ \text { ph } $ value . the $ \text { ph } $ scale is a negative logarithmic scale . the logarithmic part means that $ \text { ph } $ changes by $ 1 $ unit for every factor of $ 10 $ change in concentration of $ \text { h } ^+ $ .
is it just to bring the negative exponent to a whole number ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
example $ 2 $ : determining the $ \text { ph } $ of a diluted strong acid solution we have $ 100\text { ml } $ of a nitric acid solution with a $ \text { ph } $ of $ 4.0 $ . we dilute the solution by adding water to get a total volume of $ 1.0\text { l } $ . what is the $ \text { ph } $ of the diluted solution ?
if i want to make a 1.0 m solution of hcl in 1.0 l of water , how could i know what is the volume of hcl i have to add ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
the acid concentration matters too ! summary we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ]...
if one molecule of h2o out of 10^14 molecules dissociate into h and oh then how does it describe ph and poh ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
for example , a $ 1.0\ , \text m $ solution of strong acid $ \text { hcl } $ will have a higher concentration of $ \text { h } ^+ $ than a $ 1.0\ , \text m $ solution of weak acid $ \text { hf } $ . thus , for two solutions of monoprotic acid at the same concentration , $ \text { ph } $ will be proportional to acid str...
how do we find the ph of a weak acid or base when given concentration ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
let 's go through the calculation step-by-step . step 1 . calculate the molar concentration of $ \text { naoh } $ molar concentration is equal to moles of solute per liter of solution : $ \text { molar concentration } =\dfrac { \text { mol solute } } { \text { l solution } } $ to calculate the molar concentration of $ ...
in step 2 of example 1 it says naoh is a strong base , how did we conclude that ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
note that it is possible to have a negative $ \text { ph } $ value . some important terminology to remember for aqueous solutions at $ 25\ , ^\circ\text { c } $ : for a neutral solution , $ \text { ph } =7 $ . acidic solutions have $ \text { ph } & lt ; 7 $ . basic solutions have $ \text { ph } & gt ; 7 $ . the lower t...
why do we consider ph 7 as neutral ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
since the original volume , $ 100\text { ml } $ , is one tenth the total volume after dilution , the concentration of $ \text h^+ $ in solution has been reduced by a factor of $ 10 $ . therefore , the $ \text { ph } $ of the solution will increase $ 1 $ unit : $ \begin { align } \text { ph } & amp ; =\text { original p...
why is 14 the maximum ph and 0 the minimum a solution a can have ?
key points we can convert between $ [ \text { h } ^+ ] $ and $ \text { ph } $ using the following equations : $ \begin { align } \text { ph } & amp ; =-\log [ \text { h } ^+ ] \ \ [ \text h^+ ] & amp ; =10^ { -\text { ph } } \end { align } $ we can convert between $ [ \text { oh } ^- ] $ and $ \text { poh } $ using the...
3 we can calculate $ \text { ph } $ from $ \text { poh } $ using eq . 3 . rearranging to solve for our unknown , $ \text { ph } $ : $ \text { ph } =14-\text { poh } $ we can substitute the value of $ \text { poh } $ we found in step 3 to find the $ \text { ph } $ : $ \text { ph } =14-3.00=11.00 $ therefore , the $ \tex...
where did the 1 x 10^-3 m naoh come from in the first exercise question ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
what technique can you use to visualize ( directly observe ) the fragments of dna ? gel electrophoresis gel electrophoresis is a technique used to separate dna fragments ( or other macromolecules , such as rna and proteins ) based on their size and charge . electrophoresis involves running a current through a gel conta...
is it possible to make gel electrophoresis determination machine in home ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
once the gel is in the box , each of the dna samples we want to examine ( for instance , each pcr reaction or each restriction-digested plasmid ) is carefully transferred into one of the wells . one well is reserved for a dna ladder , a standard reference that contains dna fragments of known lengths . commercial dna la...
which poles are known as the cathode and anode ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
visualizing the dna fragments once the fragments have been separated , we can examine the gel and see what sizes of bands are found on it . when a gel is stained with a dna-binding dye and placed under uv light , the dna fragments will glow , allowing us to see the dna present at different locations along the length of...
are there more recently devloped methods to measure dna length ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive electrode . because all dna fragments have the same amount of charge per mass , small fragments move through...
why do the bands appear to be of the same size while the dna fragments vary in their sizes ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
once the gel is in the box , each of the dna samples we want to examine ( for instance , each pcr reaction or each restriction-digested plasmid ) is carefully transferred into one of the wells . one well is reserved for a dna ladder , a standard reference that contains dna fragments of known lengths . commercial dna la...
seems like a stupid question..but if you know the length of the samples using dna ladder as a scale , then how did the scientist knew the length of the first dna ever measured ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
a single dna fragment ( or even a small group of dna fragments ) would not be visible by itself on a gel . by comparing the bands in a sample to the dna ladder , we can determine their approximate sizes . for instance , the bright band on the gel above is roughly $ 700 $ base pairs ( bp ) in size .
also when two or more bands appear for the same sample , which band do we use to determine the size ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
a single dna fragment ( or even a small group of dna fragments ) would not be visible by itself on a gel . by comparing the bands in a sample to the dna ladder , we can determine their approximate sizes . for instance , the bright band on the gel above is roughly $ 700 $ base pairs ( bp ) in size .
for example , which bands represents the trait/allele ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
a single dna fragment ( or even a small group of dna fragments ) would not be visible by itself on a gel . by comparing the bands in a sample to the dna ladder , we can determine their approximate sizes . for instance , the bright band on the gel above is roughly $ 700 $ base pairs ( bp ) in size .
how can we determine the number of bands and their base pair ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
visualizing the dna fragments once the fragments have been separated , we can examine the gel and see what sizes of bands are found on it . when a gel is stained with a dna-binding dye and placed under uv light , the dna fragments will glow , allowing us to see the dna present at different locations along the length of...
are there different types of dna stains ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
visualizing the dna fragments once the fragments have been separated , we can examine the gel and see what sizes of bands are found on it . when a gel is stained with a dna-binding dye and placed under uv light , the dna fragments will glow , allowing us to see the dna present at different locations along the length of...
do they all make the dna glow or can they just make it a color visible in uv light ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
because all dna fragments have the same amount of charge per mass , small fragments move through the gel faster than large ones . when a gel is stained with a dna-binding dye , the dna fragments can be seen as bands , each representing a group of same-sized dna fragments . introduction suppose you have just done a pcr ...
how many available dna strands which is carrying the gene of interest are formed in your work ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
introduction suppose you have just done a pcr reaction , making many copies of a target dna region . or perhaps you ’ ve done some dna cloning , trying to `` paste '' a gene into a circular dna plasmid . now , you want to check and see whether your pcr worked , or whether your plasmid has the right gene in it .
how are dna strands that carry the gene of interest be identified ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
because all dna fragments have the same amount of charge per mass , small fragments move through the gel faster than large ones . when a gel is stained with a dna-binding dye , the dna fragments can be seen as bands , each representing a group of same-sized dna fragments . introduction suppose you have just done a pcr ...
what is the importance of separating dna sequences ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
visualizing the dna fragments once the fragments have been separated , we can examine the gel and see what sizes of bands are found on it . when a gel is stained with a dna-binding dye and placed under uv light , the dna fragments will glow , allowing us to see the dna present at different locations along the length of...
why are dna probe placed or used in the process ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
the end without wells ( towards which the dna fragments will migrate ) is positioned towards the positive electrode . how do dna fragments move through the gel ? once the gel is in the box , each of the dna samples we want to examine ( for instance , each pcr reaction or each restriction-digested plasmid ) is carefully...
why is there a need to transfer dna strand from the gel into a special blotting paper ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
introduction suppose you have just done a pcr reaction , making many copies of a target dna region . or perhaps you ’ ve done some dna cloning , trying to `` paste '' a gene into a circular dna plasmid . now , you want to check and see whether your pcr worked , or whether your plasmid has the right gene in it .
how can we determine the longest or shortest dna molecule of plasmid or a bacteria ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
for instance , the bright band on the gel above is roughly $ 700 $ base pairs ( bp ) in size . check your understanding four lanes are numbered on the gel above . ( a lane is a corridor through which dna passes as it leaves a well . )
what are digested and undigested setsof lanes in age ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
all dna molecules have the same amount of charge per mass . because of this , gel electrophoresis of dna fragments separates them based on size only . using electrophoresis , we can see how many different dna fragments are present in a sample and how large they are relative to one another . we can also determine the ab...
how do you read an electrophoresis result using colored dye ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
what technique can you use to visualize ( directly observe ) the fragments of dna ? gel electrophoresis gel electrophoresis is a technique used to separate dna fragments ( or other macromolecules , such as rna and proteins ) based on their size and charge . electrophoresis involves running a current through a gel conta...
why is electrophoresis run on constant power ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
at one end , the gel has pocket-like indentations called wells , which are where the dna samples will be placed : before the dna samples are added , the gel must be placed in a gel box . one end of the box is hooked to a positive electrode , while the other end is hooked to a negative electrode . the main body of the b...
what would happen if i were to switch the location of the negative and positive electrodes , such as the positive being on top and the negative at the bottom ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
we can also determine the absolute size of a piece of dna by examining it next to a standard `` yardstick '' made up of dna fragments of known sizes . what is a gel ? as the name suggests , gel electrophoresis involves a gel : a slab of jello-like material .
is there a resource that enumerates the interfering materials with the gel ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
because all dna fragments have the same amount of charge per mass , small fragments move through the gel faster than large ones . when a gel is stained with a dna-binding dye , the dna fragments can be seen as bands , each representing a group of same-sized dna fragments . introduction suppose you have just done a pcr ...
in the last image of the dna bands , how do we divide the bands in the dna ladder as to 3000 bp , 1500 bp and 500 bp ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
because all dna fragments have the same amount of charge per mass , small fragments move through the gel faster than large ones . when a gel is stained with a dna-binding dye , the dna fragments can be seen as bands , each representing a group of same-sized dna fragments . introduction suppose you have just done a pcr ...
is this due to ineffective pcr amplification , maybe as a result of poor extraction of dna ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
what technique can you use to visualize ( directly observe ) the fragments of dna ? gel electrophoresis gel electrophoresis is a technique used to separate dna fragments ( or other macromolecules , such as rna and proteins ) based on their size and charge . electrophoresis involves running a current through a gel conta...
when is each type of electrophoresis applicable ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
we can also determine the absolute size of a piece of dna by examining it next to a standard `` yardstick '' made up of dna fragments of known sizes . what is a gel ? as the name suggests , gel electrophoresis involves a gel : a slab of jello-like material .
what 's the relation between pcr and gel electrophersis ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
each band contains a large number of dna fragments of the same size that have all traveled as a group to the same position . a single dna fragment ( or even a small group of dna fragments ) would not be visible by itself on a gel . by comparing the bands in a sample to the dna ladder , we can determine their approximat...
how can i take my target dna fragment from gel for sequencing process ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive electrode . because all dna fragments have the same amount of charge per mass , small fragments move through...
does the smear of bands of the pcr-reaction in the first picture in `` visualizing the dna fragments '' have any meaning ?
key points : gel electrophoresis is a technique used to separate dna fragments according to their size . dna samples are loaded into wells ( indentations ) at one end of a gel , and an electric current is applied to pull them through the gel . dna fragments are negatively charged , so they move towards the positive ele...
because all dna fragments have the same amount of charge per mass , small fragments move through the gel faster than large ones . when a gel is stained with a dna-binding dye , the dna fragments can be seen as bands , each representing a group of same-sized dna fragments . introduction suppose you have just done a pcr ...
what 's the difference between the smaller bands and the larger bands in the dna fingerprint ?
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific no...
this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific notation . it helps to get comfortable with engineering notation and the wide , dynamic range of number...
what are the scopes in electrical engineering ?
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific no...
this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific notation . it helps to get comfortable with engineering notation and the wide , dynamic range of number...
what is the difference between e-engineering and computer science ?
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific no...
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications .
if a homework questions asks you to explain how an emp cuts off all electricity in a certain area , how would i explain that ?
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific no...
resistance up to tens of megohms $ ( 10\times10^ { 6 } \ , \omega ) $ is not unusual . voltage : the unit of electrical potential is the volt ( v ) . a flashlight battery is 1.5 volts .
how long would it take for an electrical pole 's circuit to blow out when it has an overload of half of its usual input/output of electricity ?
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific no...
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications .
why do electrical engineers have to deal with such small numbers when they have to build/invent things ?
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific no...
you can hold this battery in your hand without fear of electric shock . inside a computer , the chips usually operate with 3 to 5 volts . a car battery is 12 volts .
why do people `` prefix '' in computer science ?
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific no...
that 's 15 billionths of a meter ! unit grammar these are the grammatical guidelines for writing unit names and symbols . names of all units start with a lowercase letter , even if the unit is named after a person .
in the `` unit grammar '' section , should n't the example name for ohm be 2 megaohm instead of 2 megohm ?
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific no...
it might make more sense if we look at some examples : avogadro 's number looks like this in scientific notation : $ 6.02214082 \times 10^ { 23 } $ . you may see the same number in computer syntax like this : $ 6.02214082\text { e } 23 $ , where `` e '' for `` exponent '' stands in for `` $ \times10 \text { to the ... ...
does anyone know when and why it came to pass that we 're seeing v replacing e in electronics math ?
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific no...
add a decimal point : $ 33. $ write down the remaining digits : $ 33.3564095 $ . because we hopped right , finish by writing $ 10 $ raised to the negative number of hops times three : $ -2 \ , \text { hops } \times 3 = -6 $ . $ 33.3564095 \times10^ { -6 } $ seconds is the time it takes for light to travel 10 kilometers...
so what happens when you encounter a number that requires more than 4 hops left or right ?
electrical engineers come across very large and very small numbers compared to everyday experience . this article gives you an initial exposure to large and small numbers and has examples of how they show up in engineering applications . engineering numbers are written in engineering notation , similar to scientific no...
to express a number in scientific notation , you rewrite it as a number $ \ge1 $ and $ \lt10 $ , multiplied by a power of $ 10 $ . it might make more sense if we look at some examples : avogadro 's number looks like this in scientific notation : $ 6.02214082 \times 10^ { 23 } $ . you may see the same number in computer...
is sped through the whole thing and did not look atbany of the words ?