difficulty int64 6 10 | source stringclasses 2
values | domain stringclasses 1
value | conversations listlengths 2 2 |
|---|---|---|---|
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "**Statement I:** For all the salts completely soluble in water, the magnitude of sum of enthalpies of hydration of ions is greater than the magnitude of lattice enthalpy of the salt. \\n **Statement II:** If the magnitude of sum of enthalpies of hydration of ions is less than... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Through the process of alkylation (Sec. 6.16) some of the smaller alkanes and alkenes are converted into high-octane synthetic fuels. What is the process in which smaller alkanes and alkenes are converted into high-octane synthetic fuels?"
},
{
"from": "gpt",
"value"... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The three lowest energy levels of a certain molecule are \\(E_1 = 0\\), \\(E_2 = \\epsilon\\), \\(E_3 = 10\\epsilon\\). Show that at sufficiently low temperatures (how low?) only levels \\(E_1, E_2\\) are populated. Find the average energy \\(E\\) of the molecule at temperature ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "When a solution of magnesium methoxide (prepared by the reaction of magnesium with methanol) is saturated with carbon dioxide, an active carboxylating agent, MMC, is produced. The reagent carboxylates substrates capable of enolization apparently by promoting formation of the mag... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I'm sure this question is a bit gauche for this site, but I'm just a mathematician trying to piece together some physical intuition.\n\n*Question:*Is the statistical interpretation of Quantum Mechanics still, in any sense, viable? Namely, is it completely ridiculous to regard th... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A solution of specific gravity 1.6 g mL^{-1} is 67% by weight. What will be the % by weight of the solution of same acid if it is diluted to specific gravity 1.2 g mL^{-1}?"
},
{
"from": "gpt",
"value": "<think> Alright, so I need to figure out this problem about dil... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "With DEPT experiments, the number of hydrogens bonded to each carbon can be determined. DEPT experiments are run in three stages: a broadband decoupled spectrum gives the chemical shifts of all carbons; a DEPT-90 spectrum shows signals due only to CH carbons; and a DEPT-135 spec... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Solving the sequence of an oligopeptide from sequence analysis data\\nAmino acid analysis of a decapeptide revealed the presence of the following products:\\nNH3+ Asp Glu Tyr Met Pro Lys Ser Phe\\nThe following facts were observed:\\na. Neither carboxypeptidase A or B treatment ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A gas phase reaction, \\( A \\rightarrow 2B \\), has a rate equation\\n\\n\\[\\nr_a = 0.2p_a/(1 + 0.5p_a) \\, \\text{lbmol/(hr)(cuft of catalyst)}\\n\\]\\n\\nThe feed rate is 6.0 lbmol/hr of pure A. The pressure is 5 atm. What conversion is obtained with a catalyst volume \\( V_... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "In alkylation, as in its other reactions, the carbonium ion gains a pair of electrons to complete the octet of the electron-deficient carbon—this time from the π cloud of an aromatic ring. tert-Pentylbenzene is the major product of the reaction of benzene in the presence of BF3 ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Imagine we hang n masses, connected by equal springs of equal length and with equal k (suspended on a very high ceiling or whatever what, as long as it doesn't exchange energy with the system). So what we see are different masses hanging vertically and connected by equal length ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The band of electronic energies that we calculated in Problem 10–45 can accommodate \\(N\\) pairs of electrons of opposite spins, or a total of \\(2N\\) electrons. If each atom contributes one electron (as in the case of a polyene), the band is occupied by a total of \\(N\\) ele... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Note: Because hydrogen is generated, the reaction should be carried out in a hood. What precautions should be taken when carrying out the reaction due to the generation of hydrogen?"
},
{
"from": "gpt",
"value": "<think> Okay, I need to think about the precautions wh... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "First reaction involves decarboxylation and thus E is Ph COCH₃. The second reaction is iodoform reaction giving PhCOO⁻ Na⁺ (F) and CHI₃ (G)."
},
{
"from": "gpt",
"value": "<think> Okay, let's see. The user is talking about two reactions here. The first one involves d... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Could some one provide elaborated answer whether description of the difference between laws and principles of physics, which I found on the Internet\n(https://sciencing.com/difference-between-law-and-principle-in-physics-12760897.html)\ncorrect? If indeed there's a difference, ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Electroweak theory argues that the symmetry that accompanies them is obvious only to the high energies, while it is hidden with inferior energies. Scientist use top analogy to explain this concept but for me this image is improper, it does not explain well why at low energies th... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "This question is inspired by a recent video by Sabine Hossenfelder on the topic of black hole information loss. At about 8:23 the makes the claim that \"...there are many possible solutions to the problem [of black hole information loss] which are mathematically correct...\"\nPa... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A current of 0.5 A is passed through acidulated water for 30 minutes. Calculate weight of \\( H_2 \\) and \\( O_2 \\) evolved. Also calculate the volume of \\( O_2 \\) produced at 25°C and 760 mm of Hg if the gas is:\\n(a) dry \\n(b) saturated with water vapour (aqueous tension... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "What are causes of the presence of excess amount of porphyrins in urine?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out the causes of having too many porphyrins in the urine. Hmm, I remember that porphyrins are part of heme synthesis, right? The... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A one-proton aldehyde peak at δ 9.5–9.7 (a triplet) will easily distinguish this aldehyde from its ketone isomer. The aliphatic protons will give a sharp three-proton singlet at about δ 2.1-2.6. What distinguishes the aldehyde peak at δ 9.5–9.7 from its ketone isomer for the str... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "There are various things I am not sure I fully understand regarding reversible and quasi-static processes. I have tried to find similar questions on this forum, but so far none have fully answered my questions here:\n\nWhen we say a \"process\" in this case, then do we mean a tr... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "There have been several Phys.SE questions on the topic of zero modes. Such as, e.g., \n\nzero-modes (What are zero modes?, Can massive fermions have zero modes?), \nmajorana-zero-modes (Majorana zero mode in quantum field theory),\npath-integral-with-zero-energy-modes (Path inte... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "It can be shown starting from Maxwell's equations that the electromagnetic field satisfies the wave equation: $$\\square^2 \\mathbf{E} = \\frac{1}{\\epsilon_0}\\nabla\\rho+\\mu_0\\frac{\\partial\\mathbf{J}}{\\partial t}$$ \n$$\\square^2 \\mathbf{B}=\\mu_0\\nabla\\times\\mathbf{J... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A 0.28 g sample of an unknown monoprotic organic acid is dissolved in water and titrated with a 0.1 M sodium hydroxide solution. After the addition of 17.5 ml of base, a pH of 5.0 is recorded. The equivalence point is reached when a total of 35.0 ml of NaOH is added. The molar m... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "This question is related to the potential possibilities of classification of divergent integrals more precisely than just \"divergent to infinity\" and the like. Improper divergent integrals can have many distinguishing properties, like germ at infinity, rate of grow and regular... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Bicyclic molecules are two rings sharing two atoms. These rings may be fused, sharing two adjacent atoms, or bridged, sharing atoms not adjacent to each other. A fused bicyclic compound has two rings joined by adjacent carbons. Make a model of bicyclo[3.2.0]heptane to help visua... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "The basic question is -- Will a radiant reflective coating be more effective applied to the upper surface or the lower surface of a metal?\nCase 1: Imagine a metal roof subject to solar heating. The solar heat load is primarily visible and IR radiation. The roof reflects some p... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Chemical reactions of arenes can take place on the ring itself, or on a side chain. Reactions that take place on the side chain are strongly influenced by the stability of benzylic radicals and benzylic carbocations. An example of a reaction in which the ring itself reacts is th... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Liquid is flowing at a volumetric flowrate of \\( Q \\) per unit width down a vertical surface. Obtain from dimensional analysis the form of the relationship between flowrate and film thickness. If the flow is streamline, show that the volumetric flowrate is directly proportiona... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "14. \\( \\text{H}_2\\text{S} \\) gas will cause immediate unconsciousness at a concentration of 1 part per 1000 by volume. What weight of \\( \\text{FeS} \\) is needed to fill a room 20 ft x 15 ft x 9 ft with \\( \\text{H}_2\\text{S} \\) at this concentration? Barometric pressur... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Carbon-14 is the radioisotope of carbon with the longest half-life. It may be formed by the following reaction: \n14N + 1n = 14C + X. \nWhat is the identity of X? \n(A). e \n(B). H \n(C). 13 C \n(D). 12C \nWhat is the identity of X in the reaction 14N + 1n = 14C + X?"
}... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "#### Question 2.18\\n\\n**General Formulation:**\\n\\n- \\( a = \\text{Mo-99}, \\quad T_{1/2} = 66 \\, \\text{hr} \\)\\n- \\( b = \\text{Tc-99m}, \\quad T_{1/2} = 6 \\, \\text{hr} \\)\\n\\n\\[\\na \\xrightarrow{\\lambda_a} b \\xrightarrow{\\lambda_b} c\\n\\]\\n\\n\\[\\nN_b = \\f... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "For a stationary stochastic process (representing the internal time-evolution of a certain physical system which on average is stationary) we speak of detailed balance when, roughly speaking, the probability of every event is equal to the probability of the time-reversed event.\... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The term 'chirality' is derived from the Greek word χειρ (‘kheir'), meaning palm. Like your hands, chiral molecules are molecules which have non-superimposable mirror images. They usually (but not always) contain chiral centres, which are often defined as carbon atoms with four ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "NASA's Cassini-Huygens mission detected a large cloud of toxic hydrogen cyanide (HCN) on Titan, one of Saturn's moons. Titan also contains ethane (H3CCH3), acetylene (HCCH), and ammonia (NH3). The number of valence electrons are as follows: HCN: (1 x 1) + (4 × 1) + (5 × 1) = 10,... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Treatment of a primary halide (Fig. 1) with an ethoxide ion is likely to give a mixture of an ether arising from S₂ substitution along with an alkene arising from E2 elimination. \n\nWhat type of products can be expected from treatment of primary halides with ethoxide ion?"
},... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I'm looking for help or advice on working out the numbers of bodies in a particular mass range, especially for non-luminous bodies less massive than stars. This is for bodies in interstellar space, such as in the Oort Cloud.\nFor example, a figure at http://lasp.colorado.edu/out... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "[This question is connected with this one. Since the estimation and measurement of spatial gradients and time derivatives have very different levels of difficulties, I thought it best to ask two separate questions]\nIn post-Newtonian approximation of gravitation, the metric on a... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Given the bond dissociation enthalpy of CH\\(_3\\)–H bond as 103 kcal/mol and the enthalpy of formation of CH\\(_4\\)(g) as \\(-18\\) kcal/mol, find the enthalpy of formation of methyl radical. The dissociation energy of H\\(_2\\)(g) into H (atoms) is 103 kcal/mol.\\n\\n(a) \\(-... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "It is widely known that the CP violation provided by the Standard Model ( SM )is insufficient to explain the baryon asymmetry that we observe. However, I never came across any quantitative argumentation about this fact. By that, I mean that we know that\n$\\bullet$ The baryon as... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "What distributions of electromagnetic oscillating fields are Lorentz invariant? How can oscillating electromagnetic fields look the same regardless of inertial frame?\nAccording to Marshall and Boyer a cubic distribution like \n$ \\rho(\\omega) d\\omega = \\frac{\\hbar\\omega^3}... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "When an alkene and an alkyne are in the same molecule, the nomenclature is a little different. An alkene-alkyne is usually referred to as an en-yne. The numbering is chosen to give the triple bond(s) the lowest number(s) in preference to the double bond(s). Therefore, “yne” is u... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In several of the undergraduate-level treatments of quantum mechanics I've seen, including really good ones like Allan Adams and Leonard Susskind, there seems to be a subtle contradiction that is glossed over which I would like to understand better.\nFor a discrete superposition... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A solution with a density of 1.15 g/mL contains 33.0 g of sugar per 100 mL of solution. What mass of solution will contain 166 g of sugar? What mass of water is required to make this solution?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out two t... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "In our consideration of the chlorination of methane, we have so far been concerned chiefly with the particles involved—molecules and atoms—and the changes that they undergo. As with any reaction, however, it is important to consider also the energy changes involved, since these ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Assuming the additivity of covalent radii in the C—I bond, what would be the iodine-iodine distance in each of the three diiodobenzenes (Fig. 7.8)? Assume that the ring is a regular hexagon and that each C—I bond lies on a line through the center of the hexagon. The distance bet... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Cholesterol is an essential component of the plasma membrane, but people who have very high levels of cholesterol in their blood (hypercholesterolemia) tend to have heart attacks. Blood cholesterol is carried in the form of cholesterol esters in low-density lipoprotein (LDL) par... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I am having trouble with computing the functional derivative with respect to the metric of the EM on a curved spacetime:\n\\begin{equation}\nS:=\\frac{1}{16\\pi^2 G}\\int R \\sqrt{-g}\\text{ }d^4x-\\frac{1}{4}\\int F^{\\mu \\nu}F_{\\mu \\nu}\\sqrt{-g}\\text{ }d^4x-\\int \\overli... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "When heated under pressure of water, the sulphonic acid group is eliminated and hydrocarbons are formed: CH3.C6H4.SO3H + HOH = CH3.C6H5 + H2SO4. What products are formed when the sulphonic acid group is eliminated under pressure of water?"
},
{
"from": "gpt",
"value"... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In case of a time dependent Hamiltonian of the sort $$H=\\frac{p^2}{2m}+\\frac{1}{2}m \\omega(t) x^2$$ I have solved for the time evolution operator using the Schrodinger equation and got $U(t,0)$. If, I am working in the Schrodinger picture, my ket at some later time $t$ would ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I know people try to solve Dirac equation in a box. Some claim it cannot be done. Some claim that they had found the solution, I have seen three and they are all different and bizarre. But my main issue is what would make the particle behave differently (in the same box). How us... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In several papers I see something equivalent to the following expression for the entropy of radiation given by an astronomical object such as the Sun (assuming the object can be approximated as a black body):\n$$\r\ns = \\frac{4}{3}\\frac{u}{T},\r\n$$\nwhere $u$ is the total flu... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Among the following, the paramagnetic compound is\\n(a) Na₂O₂\\n(b) O₃\\n(c) N₂O\\n(d) KO₂"
},
{
"from": "gpt",
"value": "<think> Okay, let's see. The question is asking which of the given compounds is paramagnetic. The options are Na₂O₂, O₃, N₂O, and KO₂. Hmm, I nee... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "P3.07.05. ORDER WITH RESPECT TO CATALYST\\n\\nThe irreversible decomposition of a reagent A in solution is catalyzed by a material B. The time of half completion of the batch reaction was determined by varying the initial concentrations of A and B. From the results estimate the ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Irradiation with ultraviolet (UV) light permits rotation about a \\(\\pi\\) bond. Explain in terms of bonding and antibonding MO’s."
},
{
"from": "gpt",
"value": "<think> Okay, so the question is about why irradiating with ultraviolet (UV) light allows rotation aroun... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In most introductory quantum mechanics books they mention as an experimental example, which demonstrate the quantum nature of measurement, the Stern-Gerlach experiment and how they measure the spin. But is this only quantum experiment in this universe ?\nMy question is how about... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "At 25°C, a reaction is complete in 4 h. Approximately what temperature (in °C) must be used to cause the reaction to be completed in 30 minutes? The temperature coefficient of reaction is 2."
},
{
"from": "gpt",
"value": "<think> Okay, so I have this problem here: At... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "In this section, various carbon-containing compounds are discussed. Examples include methane (CH4), chloromethane (CH3Cl), and methyllithium (CH3Li). The context needed to differentiate the electron distribution and determine which compound features carbon with the greatest part... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Match Column I with Column II for the reaction A → Products, with initial concentration of ‘A’ equal to ‘a’ M.\\n\\n| Column I | Column II |\\n|--------------------------|---------------------------------------|\\n| (A) \\(\\frac{0.693... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "An ideal mixture of fluids \\( A \\) and \\( B \\), with the mole fraction of the \\( B \\) component equal to 0.563, starts to evaporate at 334 K. After the first drop of the mixture evaporates, the mole fraction of \\( B \\) in the vapor phase is 0.484. Calculate the heats of ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The NMR spectrum can be used to determine the connectivity between the groups. The signal (2.5 ppm) that integrates to 1 proton is due to the proton of the terminal alkyne. The singlet (3.2 ppm) that integrates to 1 proton must be due to the proton of the OH group. The singlet (... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Benzoquinone has two C=C \\(\\pi\\) bonds, each of which can function as a dienophile in a Diels-Alder reaction. Two successive Diels-Alder reactions will afford a tricyclic structure. The tricyclic products are diastereomers, and are formed because the second Diels-Alder reacti... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Determine the absorption function of a flat layer within the framework of the model of single spectral lines if the optical thickness sharply drops along an individual spectral line and the optical thickness is small in the middle between neighboring lines.\\n\\nWe have for the ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Determine the age of ancient wooden items, if it is known that the specific activity of \\(^{14}\\text{C}\\) nuclide amounts to 3/5 of that in lately felled trees."
},
{
"from": "gpt",
"value": "<think> Alright, so I need to figure out the age of some ancient wooden ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A researcher suspects that a 550-bp-long intron contains an enhancer that drives expression of an Arabidopsis gene specifically in root-tip tissue. Outline an experiment to test this hypothesis."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to outline an exp... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Two electrons are moving parallel to each other at the same speed. How fast do they need to be moving if the magnetic force between the electrons is half the strength of the electric force between them?\nParallel to each other means in same direction. I think...\nSince they are ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Chemical reactions of arenes can take place on the ring itself, or on a side chain. Reactions that take place on the side chain are strongly influenced by the stability of benzylic radicals and benzylic carbocations. \n\nWhat type of reactions can take place on arenes, and what ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "PROBLEM 1.22 Give the hybridization state of each carbon in the following compounds: (c) Ketene (H₂C=C=O). \n\nWhat is the hybridization state of carbon in ketene (H₂C=C=O)?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out the hybridization states... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Are the properties of binary compounds characterized by polar covalent bonds different from substances in which nonpolar bonds are formed?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out if binary compounds with polar covalent bonds have differen... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Some redox reactions are given in Column I. Match them with the correct mole ratio of oxidizing to reducing agents given in Column II.\\n\\nColumn I | Column II\\n--- | ---\\n(A) \\[\\text{MnO}_4^- + \\text{C}_2\\text{O}_4^{2-} \\rightarrow \\text{MnO}_2 + \\text{CO}_2\\] | (P) ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Allyl alcohol may be prepared by heating glycerol with formic acid. Large quantities are prepared commercially from propylene. To obtain anhydrous allyl alcohol, use either of the following procedures: (i) Reflux the alcohol with successive quantities of anhydrous potassium carb... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A 0.5-g sample of cholesterol isolated from an atherosclerotic arterial specimen yields an observed rotation of \\(-0.76^{\\circ}\\) when dissolved in 20 mL of chloroform and placed in a 1-dm cell. Determine the specific rotation \\([\\alpha]\\) of cholesterol for: (a) the entit... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "\nI would in general like to understand how to derive the low energy metrics to describe D-brane configurations. Any pedagogic reference which explains the method?\n\nIn particular I have in mind these two facts, \n(1) For N coincident D3 branes in IIB it seems that the metric i... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Transverse waves, such as upper-surface of pond-water, or in shaking-rope; the Transverse-Wave can be easily understood and drawn (for different times such as at t second, t + 0.25 second, t+0.5 second (for-say) ), where, each particle can move in both direction (UP and DOWN) fr... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I am trying to solve the following problem:\n\nA test particle at coordinate $\\vec{r_0}=(1,0)$ is thrown with initial velocity $\\vec{v_0}=(0,v)$ and is influenced by a gravitational field $\\vec{F}=\\frac{-\\vec{r}}{r^3}$ (an $M=1$ mass at $(0,0)$) where $v$ can have the value... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Are there any purely formal, algebraic calculations that show what happens when one drops a spinor into a black hole? No hand-waving allowed!\nTo make the problem precise, several definitions are needed. By \"spinor\", it is meant the construction of vector-like objects from the... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "A light clock is a mechanism that produces (and counts) equal time intervals.\nYes, but, do we understand correctly what the light clock is showing?\nSince we don't know what the time exactly is, we can say that time is represented by a series of events (this event is not a poin... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Cyclohexene is converted to cyclohexanol upon treatment with aqueous acid (acid-catalyzed hydration). Cyclohexanol is oxidized to cyclohexanone upon treatment with a strong oxidizing agent. Upon treatment with hydrazine in acid-catalyzed conditions, cyclohexanone is converted in... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "So I know re-normalization has bean \"beaten to death\". I want to understand something a bit specific which might seem trivial. Independence of the bare parameters on $\\mu$ and relevance to the beta function derivation. This seems to be an important assumption or rather fact ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "(a) Suggest a mechanism for a ready decarboxylation of malonic acid, \\(\\text{HOOCCH}_2\\text{COOH}\\), that proceeds through an activated, intramolecular H-bonded, intermediate complex. \\n\\n(b) Give the decarboxylation products of (i) oxalic acid, \\(\\text{HOOC—COOH}\\), an... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I'm trying to understand the wave function of two identical particles with spin but unfortunately my textbook does a poor job explaining any of it.\nFor two identical bosons, for instance, I know that ignoring spin $$\\psi_+(x_1,x_2)=\\frac{1}{\\sqrt{2}}[\\psi_a(x_1)\\psi_b(x_2)... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "[Note: I'm using QED as a simple example, despite having heard that it\nis unlikely to exist. I'm happy to confine the question to\nperturbation theory.]\nThe quantized Aᵘ and ψ fields are non-unique and unobservable. So,\ntwo questions:\nA. Can we instead define QED as the W... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Which of the following statements is true about oxidation state of S in Na₂S₄O₆?\\n (a) all S−atoms are in +2.5 state\\n (b) all S−atoms are in +2 state\\n (c) Two S−atoms are in 0 state and other two, in +5 state\\n (d) Two S−atoms are in −1 state and other two, in ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Calculate the C–Cl distance in the \\( \\text{CCl}_4 \\) molecule."
},
{
"from": "gpt",
"value": "<think> Alright, so I need to calculate the C–Cl distance in a CCl4 molecule. Hmm, okay. Let me start by recalling what I know about molecules and bonds. I remember that... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Reformulate the description of the \\( \\text{H}_2 \\) molecule in the VB approach in the assumption that the two Hydrogen atoms in their ground state are at a distance \\( R \\) so that exchange effects can be neglected. Prove that for large distance the interaction energy take... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "In the mass spectrum of 4-methyl-2-pentanone a McLafferty rearrangement and two other major fragmentation pathways occur. Propose reasonable structures for these fragment ions and specify the m/z value for each."
},
{
"from": "gpt",
"value": "<think> Okay, I need to ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "35. \\( \\text{PhC} \\equiv \\text{CH} \\xrightarrow{\\text{NaNH}_2 \\\\ \\text{MeI}} \\text{A} \\xrightarrow{\\text{Na/NH}_3(l)} \\text{B} \\) (1997)"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out what compounds A and B are in this reaction seq... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "At room temperature, the molar volume of hydrogen fluoride gas has a mass of about 50 g. The formula weight of hydrogen fluoride is 20. Gaseous hydrogen fluoride at room temperature is therefore, probably a mixture of - (a) \\(H_2\\) and \\(F_2\\) - (b) HF and \\(H_2F_2\\) - (c)... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In Hamiltonian classical mechanics, we have that the Poisson bracket of position\nand momentum satisfies $$\\{q_i, p_j\\} = \\delta_{ij}$$\nBut this implies that momentum and position 'generate' changes in each other. I.e. as we move along the flow of one, the other changes. Sin... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Velocities of 3 particles of the solid, which don't lie on a single straight line, $V_1, V_2, V_3$ are given (as vector-functions). Radius-vectors $r_1, r_2$ from third particle to first and second are given aswell. How could I find the angular velocity $w$ of the solid?\nI tr... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Let $(\\Lambda,a)$ be a Poincaré coordinate transformation. Let $U$ be an unitary representation of the Poincaré group on some vector space.\nIs it always possible to express $U(\\Lambda,a)$ in the following way? \n$$U(\\Lambda,a)=e^{i\\epsilon_{\\mu}P^{\\mu}-i\\omega_{\\mu \\n... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I'm reading about gravitational waves and I'm wondering how we know we can always go to the transverse and traceless gauge? Going to the de Donder gauge is fine, I can follow that, but then showing that we can always go to traceless part and also have $\\bar{h}_{0\\mu}=0$ I don'... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Firstly here is a brief summary of what I trying to accomplish.\nFrom a predetermined total solar system mass , star count in that system, per-star classification and mass I am building a system of calculating the stable orbits of all orbital bodies in that system.\nI then calcu... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Explain why pyridine (a) undergoes electrophilic substitution at the \\(\\beta\\) position, and (b) is less reactive than benzene."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to explain why pyridine undergoes electrophilic substitution at the β position, a... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The two singlets in the 'H NMR spectrum that each integrate to 3 protons suggest two methyl groups, one of which is adjacent to an oxygen. That the benzene ring protons (6.7-7.1 ppm) consist of two doublets (each integrating to two hydrogens) indicates a 1.4-disubstituted benzen... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "A year ago, username @Greg Graviton asked in a thread here about the Spin group as covering of the spatial rotations. \nA subquestion was: What other groups, even larger than SU(2) are there that (could) act on \"physics\" and are an extension of SO(3) Is it possible to classify... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Suppose you have a non-polarizing beamsplitter (NPBS) with 2 outputs: A and B. You place a polarizing beamsplitter (PBS) at the output A, and want to follow the evolution of the quantum state after this step. (Let's say it's just the first of many transformations before a detect... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I am currently with a difficulty in deriving the space-space components of the Ricci tensor in the flat FLRW metric\n$$ds^2 = -c^2dt^2 + a^2(t)[dx^2 + dy^2 + dz^2],$$ to find:\n$$R_{ij} = \\delta_{ij}[2\\dot{a}^2 + \\ddot{a}a].$$\nHow can I do that?\n"
},
{
"from": "gpt"... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Select the correct code about complex \\([Cr(NO_2)(NH_3)_5][ZnCl_4]\\):\\n (I) IUPAC name of compound is pentaamminenitrito-N-chromium (III) tetrachlorozincate(II) \\n (II) It shows geometrical isomerism \\n (III) It shows linkage isomerism \\n (IV) It shows coord... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "(a) Upon hydrolysis, each of the four ester groups is hydrolyzed to give four carboxylic acid groups, as shown: HOOC R R COOH Each of these four carboxylic acid groups is β to a carbonyl group, and will undergo decarboxylation upon heating, forming the dione shown below, as well... |