difficulty int64 6 10 | source stringclasses 2
values | domain stringclasses 1
value | conversations listlengths 2 2 |
|---|---|---|---|
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Give the products and the number of moles of \\( \\text{HIO}_4 \\) consumed in the reaction with 2,4-dimethyl-2,3,4,5-hexanetetrol. Indicate the adjacencies with zigzag lines.\\n\\n\\[ \\n\\begin{align*}\\n&\\text{CH}_3\\text{--C--C--C--C--C--C--CH}_3 \\\\\\n&\\text{ | | | | ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Write and name the compounds which form by reaction of aluminum with the first three elements of Group VI."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out the compounds formed when aluminum reacts with the first three elements of Group VI. Hmm, f... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Direct chlorination of nitrobenzene would result in a meta-disubstituted product (because the nitro group is meta-directing). So we must first reduce the nitro group into an amino group, thereby converting a meta director into an ortho-para director:\\n\\n\\[\\n\\text{NO}_2 \\ri... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Carbonic anhydrase catalyzes the reaction\\nH₂O(l) + CO₂(g) ⇌ H₂CO₃(aq)\\nData for the reverse dehydration reaction using a total enzyme concentration of 2.32 × 10⁻⁹ mol·dm⁻³ are given below\\n| v/mol·dm⁻³·s⁻¹ | [H₂CO₃]_0 / 10⁻³ mol·dm⁻³ |\\n|----------------|-------------------... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I know that \"perfect\" pendulums would be able to swing forever, unperturbed by air resistance. However, since there is air resistance around us, pendulums (swinging bobs) slow down and move closer and closer to a halt. Say we have a metal sphere of mass m and radius r as the b... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I have to solve the radial Schrodinger equation for a particle subjected to the potential:\n$$V(r)= \\dfrac{A}{r^2}-\\dfrac{B}{r}$$ \nWhere $r$ is the radial component (spherical coordinates) and $A,B>0$\nWhile I was uncoupling the equations it was useful to define the following... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Since the product of relative atomic mass and specific heat capacity is approximate 6.4 cal g^{-1}, we have Approximate relative atomic mass of element = 6.4 cal g^{-1} / 0.057 cal g^{-1} = 112.28. Let x be the valency of M in the metal sulphate. Its reaction with H_2SO_4 may be... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Find the energy and ionization energy of a helium-like atom in the 2\\(^3S\\)-state by the variational method. Use a antisymmetrized product of the hydrogen 1s- and 2s-states as a trial function, and introduce an effective nuclear charge, \\(Z_{\\text{eff}}\\) as a variational p... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Consider you are given a Choi state\n$$\n\\sigma = (\\mathcal{E} \\otimes I) | \\omega \\rangle \\langle \\omega| \\qquad {\\rm with } \\quad |\\omega \\rangle = \\frac{1}{\\sqrt{d}}\\sum_{i} |ii \\rangle \\quad \\textrm{generalized Bell state}\n$$\ncorresponding to the quantum ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In what follows I use $\\mathcal{N}\\{\\ldots\\}$ for normal ordering, $\\langle\\ldots\\rangle$ for contraction and $\\operatorname{Reg}\\{\\ldots\\}$ for the complete sequence of regular terms which is obtained via the Taylor series expansion.\nIn my ambitious studies of CFT, ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "1) It's a well-known result that the net force inside a hollow, uniform spherical shell is zero at all points.\nHowever, for a spherical shell with finite mass inside of it, we say that the mass inside pulls the shell inwards on all sides equally, thereby creating mechanical pre... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "The problem asks to, in a static spacetime with line element\n$$\\mathrm{d}s^{2} = -\\left(1+\\frac{x^2}{a^2}\\right)\\mathrm{d}t^{2} + \\mathrm{d}l^{2},$$\nwith $\\mathrm{d}l^{2}$ a 3-Euclidean metric, find a system whose coordinate lines are geodesic lines.\nI have no clue of ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Consider a classical lattice model on $\\mathbb{Z}^d$ and suppose that the system undergoes a phase transition as you lower the temperature, i.e., increase $\\beta$. The most general definition of a first-order (discontinuous) transition (as far as I know) is that it is disconti... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Molar heat capacities at constant pressure for A, B and C are 3, 1.5 and 2 J/K mol. The enthalpy of reaction and entropy of reaction, \\( A + 2B \\rightarrow 3C \\) are 20 kJ/mol and 20 J/K mol at 300K. Calculate \\(\\Delta G\\) (in kJ / mol) for the reaction,\\n\\n\\[\\n\\frac{... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The iodoso-compounds, on treatment with hydriodic acid, are reduced to iodides, with a separation of iodine. CH3.IO + 2 HI = C6H5.I + I2 + H2O. This reaction is used for the quantitative determination of iodoso-oxygen. They do not form salts with acids. The iodites, like the iod... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "The fastest rotational speed for a disc shaped object was achieved in 1985 . The flywheel was spun up to a tip speed of 1405 m/s, at which point it failed, due to the stresses in the materials involved.\nWe consider a tower of flywheels, rigidly mounted on top of each other in s... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Give the main products of (a) mononitration of p-methylphenetole, (b) monobromination of p-methoxyphenol.\\n\\n(a) Since OR is a stronger activating group than R groups, the \\( \\ce{NO2} \\) attacks ortho to \\( \\ce{-OCH2CH3} \\); the product is 2-nitro-4-methylphenetole. (b) ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Consider the probability of finding an electron within a region:\n$$P= \\iiint |\\psi(x,y,z)|^2 dxdydz$$\nI would think that The probability of finding an electron at a single point in space would be defined as:\n$$P(x,y,z)= \\lim_{dx,dy,dz\\rightarrow 0} \\int_{x}^{x+dx}\\int_... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The commercial product contains up to 1 per cent. of ethyl alcohol, which is added as a stabiliser. The alcohol may be removed by either of the following procedures: (a) The chloroform is shaken five or six times with about half its volume of water, then dried over anhydrous cal... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Olah treated compounds of the formula (CH3)2CXCF(CH3)2 with SbF5. He observed the formation of halonium ions when X=Cl, Br, or I, but an open carbonium ion when X=F. The idea of a bromonium or chloronium ion may appear strange, but evidence shows that the tendency for halogen to... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Among the following compounds, which will react with acetone to give a product containing \\(\\equiv\\text{C}=\\text{N}-\\) ?\\n - (a) \\(\\text{C}_6\\text{H}_5\\text{NH}_2\\)\\n - (b) \\((\\text{CH}_3)_3\\text{N}\\)\\n - (c) \\(\\text{C}_6\\text{H}_5\\text{NHCH}_5\\)\\n ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Calculate the pH values, assuming complete ionization, of (a) 4.9 x 10\\(^{-4}\\) M monoprotic acid \\n(b) 0.0016 M monoprotic base."
},
{
"from": "gpt",
"value": "<think> Okay, so I have to calculate the pH of two solutions: one is a monoprotic acid at 4.9 x 10^-4 ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Suppose we perform a Bell violation type experiment with spin, i.e. we have a stream of entangled, spin-anticorrelated particle pairs and we are to measure their spins along different axes.\nNow for each pair, we measure one particle along the x axis. If the result is +x, we mea... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The structure has one double bond and one stereogenic center (C-4). Four isomers are possible (R or S at C-4 and E or Z at the double bond). CH3 H C=C H CH3 Cl H (R,E) HC=CH CH3 Cl H (R,Z) H CH3 C=C H Cl H CH3 (S,E) CH3 H C=C H Cl H CH3 (S,Z). How many isomers are possible for a... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Only gases remain after 15.0 g of carbon is treated with 20 l of air at 380 K and 8.21 atm pressure. (Assume 19% by volume oxygen, 80% nitrogen, 1% carbon dioxide). Determine the amount of heat evolved (in kcal) under constant pressure. Enthalpies of formation of CO\\(_2\\)(g) a... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Write the structure of the product of the reaction of (R)-1-deutero-1-iodobutane with sodium propionate."
},
{
"from": "gpt",
"value": "<think> Okay, let me try to work through this problem step by step. The question is about the reaction of (R)-1-deutero-1-iodobutan... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Since Einstein first derived the Lorentz transformations, their generalisation and execution has changed over the century. So starting with those first derived by Einstein: \nWhat are the main, increasingly sophisticated ways, of carrying out a Lorentz transformation today? What... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "This Hamiltonian is used in the derivation of the Klein Gordon equation. How is this a Hamiltonian when it doesn't even have a position-dependent potential term? Is this the free-particle Hamiltonian? But a free particle in SR evolves exactly the same as a free particle in Newto... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Using PCR for the in vitro mutagenesis of a protein coding sequence\\nThe amino acid sequence across a region of interest in a protein is\\nAsn-Ser-Gly-Met-His-Pro-Gly-Lys-Leu-Ala-Ser-Trp-Phe-Val-Gly-Asn-Ser\\n\\nThe nucleotide sequence encoding this region begins and ends with ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "With a $SU(N)_k$ or $U(N)_{k,k}$ Chern-Simons term written as\n$$\\mathcal{L} = \\frac{k}{4\\pi} \\left(AdA + \\frac{2i}{3} A^3\\right)$$\nit is often stated that $k\\in \\mathbb{Z}$. Usually, I see this coming out as a result of flux quantization, though to do this they place t... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "What are conditions in which ketonemia developed?"
},
{
"from": "gpt",
"value": "<think> Okay, I need to answer the question about the conditions under which ketonemia develops. Let me start by recalling what ketonemia is. From what I remember, ketonemia refers to th... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A process has the rate equation\\n\\nr_a = -dC_a/dt = 0.008[C_a^2 - 1.5(2 - C_a)^2] \\text{ kgmol/m}^3\\text{-min}\\n\\nwith C_{a0} = 2 \\text{ kgmol/m}^3.\\n\\n(a) In a CSTR, what residence time is needed to obtain 90% of equilibrium conversion?\\n\\n(b) In a CSTR what % conver... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I am having trouble with this question.\nThe question is:\nCarbon tetrachloride contains 74 electrons in its molecule. Its relative permittivity is 2.26 when its density is 1.6810^3 kg/m^3. If the field acting on the liquid is 510^6 V/m, what is its electronic polarizability and... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The hydrogenation of substituted cyclic alkenes is anomalous in many cases in that substantial amounts of trans-addition products are formed, particularly with palladium catalysts. For example, the alkene 19 on hydrogenation over palladium in acetic acid gives mainly trans-decal... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "It is difficult to keep a β,γ-unsaturated carbonyl compound because the double bond tends to move into conjugation with the carbonyl group in the presence of traces of acid or base. The intermediate is, of course, an enol in acid solution but an enolate ion in base. Why is it ch... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I know that \"perfect\" pendulums would be able to swing forever, unperturbed by air resistance. However, since there is air resistance around us, pendulums (swinging bobs) slow down and move closer and closer to a halt. Say we have a metal sphere of mass m and radius r as the b... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The signals in the 'H NMR spectrum are all singlets, indicating that none of the protons that give these signals have any neighboring protons. The singlet (2.4 ppm) that integrates to 1 proton is the proton of the terminal alkyne. The two remaining signals (3.4 and 4.1 ppm) inte... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Assume I've a $N\\times N$ tight-binding Hamiltonian that depends on spatial coordinates $k=(k_x, k_y)$; it holds\n$$ H(k)|\\psi_k\\rangle = E_k |\\psi_k\\rangle \\quad .$$\nNow I want to find the parity operator $P$ such that I can check the parity of the eigenfunctions at giv... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The rate-limiting step in a dehydration is carbocation formation. A secondary allylic cation is more stable than a secondary carbocation and therefore is formed more rapidly. A tertiary carbocation is more stable than a secondary carbocation. A secondary benzylic cation is more ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Question\nI would like to compute the mean free path ($\\lambda$) for a \"heavy\" charged molecule ($M$amu, $q$ charge) in a low pressure gaz (air, but also ions such as Ca$^+$). I think I figured out how to do this for neutral particles, but I don't know how to extend this to c... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "At the end of chapter 6 in Polchinski's String Theory book he says that the $c$ ghost is anti-hermitian. With that information, I tried to show that the action for the $bc$ system\n\\begin{equation}\nS= \\frac{1}{2\\pi} \\int d^2z \\; b \\bar{\\partial}c\n\\end{equation}\nis her... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "What is the unit of \\( \\frac{d \\ln k}{dt} \\) for an \\( n \\)th order reaction?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out the unit of the derivative of the natural logarithm of the rate constant k with respect to time, dk/dt. Hmm, wait,... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "a) There is nothing to prevent giving each atom its larger energy \\(\\varepsilon\\); hence, \\(\\eta = E/N\\varepsilon\\) has a maximum of 1 with \\(E/N = \\varepsilon\\). Clearly, the system would not be in thermal equilibrium. To compute the problem in equilibrium, we need to... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Molecules containing which of the functional groups act in aqueous solution (a) as Brønsted bases (b) as Brønsted acids?"
},
{
"from": "gpt",
"value": "<think> Okay, so I have a question here about which functional groups act as Brønsted acids or bases in aqueous sol... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Cr^{3+} form four complexes with four different ligands which are [Cr(Cl)_6]^{3-}, [Cr(H_2O)_6]^{3+}, [Cr(NH_3)_6]^{3+}, and [Cr(CN)_6]^{3-}. The order of CFSE (\\( \\Delta_0 \\)) in these complexes is in the order:\\n\\n - (a) [CrCl_6]^{3-} = [Cr(H_2O)_6]^{3+} = [Cr(NH_3)_6]^... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "If we add 39.20 ml of 0.1333 M H2SO4 to 4.550 g of a sample of soda ash that is 59.95% Na2CO3, what volume of 0.1053 M NaOH is required for back-titration?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out the volume of 0.1053 M NaOH required for b... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Is it possible that some nuclear decay that we think of as 'spontaneous' is actually catalyzed by an incoming neutrino?\n\nI am imagining that there is some radioactive decay, let's just say a beta decay that appears to happen spontaneously:\n$$ \\rm ^n_mX \\to {}^n_{m+1}X + e^-... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "For some application I was interested in an optics s.t. for any incoming ray the outcoming ray is parallel to the incoming ray and shifted by a distance $d$ (independent of the incoming ray) along the optical axis. The system should be shorter than $d$ for the application.\n\nSu... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Consider a water bucket with lid, the water is in contact with the lid and the lid is tight to the bucket\n\nThe cross section of the bucket is circular, point A is the center of the circular section right below the lid. As you know, when the bucket was stationary (has no rotati... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Assume that a charge $+q$ is located at rest between the poles of an infinitely long U-shaped magnet, which is laid along the $x$-axis. If the charge slowly accelerates to a velocity $v$ along $x$ and perpendicular to the magnetic field, we know that the Lorentz force is exerted... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "There are many different, chemically diverse ways in which small molecules can be linked to form polymers. For example, ethene \\((\\text{CH}_2=\\text{CH}_2)\\) is used commercially to make the plastic polymer polyethylene \\((\\ldots-\\text{CH}_2-\\text{CH}_2-\\text{CH}_2-\\tex... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The products of combustion of an aliphatic thiol (RSH) at 298 K are \\n(a) \\(\\text{CO}_2(g), \\text{H}_2\\text{O}(g) \\text{ and } \\text{SO}_2(g)\\) \\n(b) \\(\\text{CO}_2(g), \\text{H}_2\\text{O}(l) \\text{ and } \\text{SO}_2(g)\\) \\n(c) \\(\\text{CO}_2(l), \\text{H}_2\\... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I'm trying to introduce myself to QFT following these lectures by David Tong. I've started with lecture 1 (Classical Field Theory) and I'm trying to prove that under an infinitesimal Lorentz transformation of the form\n$$\\tag{1.49} {\\Lambda^\\mu}_\\nu={\\delta^\\mu}_\\nu+{\\om... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "What do you mean by D- and L-descriptors of α-amino acids? Give examples. Are they related in any way with the CIP system of naming enantiomers containing chiral centres?"
},
{
"from": "gpt",
"value": "<think> Okay, I need to explain what D- and L-descriptors mean in... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "In the 6.5-8.1 ppm region, each compound will have two doublets. In addition, A will have two doublet of doublets, B will have one doublet of doublets and a second singlet, and C will have no other signals. In the 6.5-8.1 ppm region: four signals (two doublets and two doublets o... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Let's say I have the situation pictured below. The red and green ropes are tied to immobile supports. The ends of the red and green ropes are attached to frictionless rings. The blue rope is tethered infinitely far below and passes through the two rings. A weight is attached to ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A mass of 5 kg of a gas of molecular weight 44 has a work of 100.5 kJ done on it at constant volume. This causes the temperature of the gas to rise by 30°C. Calculate R, c_v, c_p and k of the gas."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to calculate R,... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Lets say i want to simulate the differential equations of GR\nwith some numerical method. I can express the Einstein tensor\nin terms of the christoffel symbols which in turn can be expressed\nin terms of the metric and its first and second derivative.\nNow i can impose a set of... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "How phospholipids are classified?"
},
{
"from": "gpt",
"value": "<think> Okay, I need to explain how phospholipids are classified. Let me start by recalling what I know about phospholipids. They're a type of lipid essential for cell membranes, right? They have a hydr... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In Wilson's approach to renormalization we break up a field $\\phi_0$ which includes modes up to some cutoff $\\Lambda$ into two parts, $\\phi_0=\\phi+\\tilde\\phi,$ where $\\phi$ only has modes up to some smaller cutoff and $\\tilde\\phi$ only contains fast modes. Then we integ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I'm pretty new to electrodynamics, and I was wondering whether someone could help me with the following problem:\nA thin conducting rod with length $\\ell$ rotates at rate $\\omega$ in a uniform magnetic field.\n(a) If the magnetic field $B$ is constant with respect to time, wha... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "(a) If the beam atoms are to traverse a 1 meter path length with less than \\( 1/e \\) loss resulting from collisions with background gas atoms at room temperature (300 K), what should be the pressure in the vacuum chamber? Assume a collision cross-section of \\( 10^{-16} \\text... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Aniline and nitrosobenzene, in the presence of a base, react to give azobenzene.\\n\\n\\[\\n\\text{PhNH}_2 + \\text{PhNO} \\rightarrow \\text{PhN═NPh} + \\text{H}_2\\text{O}\\n\\]\\n\\nFrom the following observations suggest a mechanism for this reaction.\\n(a) The rate of react... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "To make it plain and simple, if I have a holonomic constraint, that I want to treat using a lagrange multiplier, in any textbook I concern, they are just expressed as \"$\\lambda$\" (omitting possible arguments). \nWhat I'd like to know is whether a lagrange multiplier is someth... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "This is a conclusion given without proof in the Chinese version of Arnold's Methematical Methods in Classical Mechancs.\nContents related to this conclusion are missing from the English version (I guess they were added by the Chinese translator).\nYears ago, I have found a proof... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "To motivate my question, please consider a system with total angular momentum $j$. The fact that the largest eigenvalue of $J_z$ is $j$, while $J^2 = J_x^2 + J_y^2 + J_z^2$ has all eigenvalues equal to $j(j+1)$ is often ascribed to the uncertainty principle.\nFor example, quotin... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "To go from one diastereoisomer to another, only one of the two stereogenic centres is inverted. Diastereoisomers are different compounds with different names and different properties. Thinking in terms of stereogenic centres is useful because, just as this compound has two stere... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Explain the following observations: When tert-butyl bromide is treated with sodium methoxide in a mixture of methanol and water, the rate of formation of tert-butyl alcohol and tert-butyl methyl ether does not change appreciably as the concentration of sodium methoxide is increa... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "A mass on a frictionless table is attached to the midpoint of an originally unstretched spring fixed at the ends. If the mass is displaced a distance $A$ parallel to the table surface but perpendicular to the spring, it exhibits oscillations. What is the relation between the per... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The mechanism of the addition of the phosphorane to the carbonyl compound (usually an aldehyde or ketone) is still disputed, but chemists think that the attack of the phosphorane on the carbonyl compound generates a charged species called a betaine. The oxyanion (negatively char... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The vapour pressure of 0.01 molal solution of weak base BOH in water at 20°C is 17.536 mm. Calculate \\(K_b\\) for base. Aqueous tension at 20°C is 17.540 mm. Assume molality and molarity same."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to find the Kb of ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Amines are stronger bases than other neutral organic bases because the nonbonding pair of electrons on the nitrogen is more available than nonbonding pairs of electrons on other neutral organic bases. The atoms that are found in these other neutral organic bases are oxygen, sulf... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "CH3CH2CH-CH2CCH3 is a hydrocarbon compound. Name the following compounds: CH3CH2CH-CH2CCH3."
},
{
"from": "gpt",
"value": "<think> Okay, so I have this hydrocarbon compound to name: CH3CH2CH-CH2CCH3. Wait, the structure seems a bit confusing. Let me write it down pro... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "If \\( p \\) is the partial pressure of \\( \\text{N}_2\\text{O}_5 \\) that has decomposed,\\n\\n\\[\\n\\text{N}_2\\text{O}_5(g) \\rightleftharpoons 2\\text{NO}_2(g) + \\frac{1}{2}\\text{O}_2(g)\\n\\]\\n\\n600 mmHg — \\( p \\) \\hspace{10pt} 2\\( p \\) \\hspace{10pt} \\(\\frac{p... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Formaldehyde (two C-O bonds) is more highly oxidized than methanol (one C-O bond). The carbons in methanol (CH3OH) and dimethyl ether (CH3OCH3) are equally oxidized. Each carbon has one C-O bond and three C-H bonds. Methyl formate (three C-O bonds) is more highly oxidized than f... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Usually, when people talk about Lagrangians they are talking about a function of configuration space variables $q_i$ and their time derivatives $\\dot q_i$. This is a function $L = L(q_i, \\dot q_i,t)$. However, there is another notion of the Lagrangian, the \"Hamiltonian Lagran... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "(a) NaHCO₃ will not react with phenol\\n(b) Na reacts with compound containing acidic hydrogen\\n(c) NaOH reacts with compound containing acidic hydrogen\\n(d) NaNH₂ reacts with compound containing acidic hydrogen"
},
{
"from": "gpt",
"value": "<think> Okay, so I nee... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Oxidation number of S in \\((\\text{CH}_3)_2\\text{SO}\\) is (a) zero \\quad (b) +1 (c) +2 \\quad (d) +3"
},
{
"from": "gpt",
"value": "<think> Alright, so I have this problem here asking for the oxidation number of sulfur in the compound (CH3)2SO. Hmm, okay. Let m... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "As noted in Section 11.1, a hydrogen on the α position of a carbonyl compound is weakly acidic and can be removed by a strong base to give an enolate ion. In comparing acetone (pKa = 19.3) with ethane (pKa ≈ 60), for instance, the presence of the carbonyl group increases the aci... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I've been trying to model the orbit of a comet of arbitrary mass around our sun from having a known initial condition with $r_0, v_0$ with angle $\\alpha$ at $t_0$ around our sun. \n\nI've been able to derive the radius in the form\n$r=$ ${c}\\over{\\epsilon \\cos(\\phi + \\delt... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Occasionally, an optically inactive sample of tartaric acid was obtained. Pasteur noticed that the sodium ammonium salt of optically inactive tartaric acid was a mixture of two mirror-image crystal forms. With microscope and tweezers, Pasteur carefully separated the two. He foun... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Under certain prescribed conditions, \\( \\text{O}_2 \\) effuses through a pinhole at the rate of 3.65 ml/mm. A mixture of CO and \\( \\text{CO}_2 \\) effuses through the same pinhole under the same conditions at the rate of 3.21 ml/mm. Calculate the percentage of CO in the gas ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A low-grade pyrites containing 32 percent S is mixed with 10 kg of pure sulfur per 100 kg of pyrites so the mixture will burn readily, forming a burner gas that analyzes (Orsat) \\( \\text{SO}_2, 13.4\\% \\); \\( \\text{O}_2, 2.7\\% \\); and \\( \\text{N}_2, 83.9\\% \\). No sulf... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A carbanion is isoelectronic with (has the same number of electrons as) a trivalent nitrogen compound. The negatively charged carbanion carbon has eight valence electrons. The carbon atom is sp³-hybridized. A carbanion is tetrahedral. What is a carbanion isoelectronic with?"
}... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "How many atom(s) of CH₄ lie in the same plane?"
},
{
"from": "gpt",
"value": "<think> Okay, so the question is asking how many atoms of methane (CH₄) lie in the same plane. Hmm, methane is a simple molecule, right? I remember that methane has a tetrahedral structure.... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "The fundamental equations by H. A. Lorentz are:\n$x’ = (x – vt)*\\gamma$\n$t’ = (t – vx/c^2)*\\gamma$\nwhere, $\\gamma$ is the Lorentz Factor $\\gamma= 1/\\sqrt{1 – v^2/c^2}$.\nLet us consider a spaceship is just passing away from the earth at uniform $v = 0.05 \\ c$ toward the ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "This is taken from the first example in Griffith's intro to QM:\n\nSuppose I drop a rock off a cliff of height h. As it falls, I snap a million photographs, at random intervals. On each picture I measure the distance the rock has fallen. Question: What is the average of all thes... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I'm trying to simplify this sum involving the products of four Clebsch Gordan coefficients:\n\\begin{align}\n&\\sum_{m_1 m_2 m_3 K K' M} (-1)^{j_1+j_2+j_3+G+m_1+m_2+m_3-M}\n\\langle j_1\\ m_1; j_2\\ m_2|J\\ K\\rangle \\\\\n&\\times \n\\langle j_2\\ -m_2;j_3\\ m_3|J'\\ K'\\rangle... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Consider the case of four equivalent \\(p\\)-electrons in an atom or ion. (Think of these electrons as having the same radial wave function, and the same orbital angular momentum \\(l = 1\\)).\\n\\n(a) Within the framework of the Russell-Saunders (LS) coupling scheme, determine ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I know the mass of $J/\\psi$ to be 3097 mev and the mass of phi to be 1018 mev. I know that $J/\\psi$ decays to electron and positron 5% of the time. I also know the full width of j/psi to be 0.092mev and that the phi meson lives 50 times longer than $J/\\psi$. My professor clai... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "On raising the temperature from 27 °C to 37 °C, the rate of reaction is doubled. Calculate the activation energy. [C.U.(H) 1981]"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to calculate the activation energy of a reaction where the rate doubles when the te... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "How do we use non-equilibrium Green's functions (NEGF) or the Keldysh formalism in the theory of quantum transport? Please take a simple example like the Hopping model with a non-equilibrium perturbation that couples two lattice sites for example, with increased hopping strength... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Let us say we have a perfect gas in a cylinder with a piston, with section $A$. We place the cylinder over a thermal reservoir at a certain temperature. Gradually, assuming an isothermal process, small amounts of heat $\\delta Q$ will flow from the thermal reservoir into the cyl... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "What would be the major product obtained from the addition of HBr to each of the following compounds?\n\na. CH3CH2CH=CH2 \nb. CH3CH=CCH3 \nc. CH3 \nd. CH2=CCH2CH2CH3 \ne. CH2 \nf. CH3CH=CHCH3"
},
{
"from": "gpt",
"value": "<think> Okay, so I have to figure out t... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I am reading material on Hubbard Model (please see this link) \"The limits of Hubbard model\" by Grabovski, and I have difficulty deriving/calculating hamiltonian in chapter 8. eq.8.2. How did he derive Hamiltonian matrix $H_1,H_2$? Below is my attempt and ignoring other term... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Sketch the molecular orbital interactions for acetylene coordinated to a transition metal atom. Comment on their relative importance."
},
{
"from": "gpt",
"value": "<think> Okay, I need to sketch the molecular orbital (MO) interactions for acetylene coordinated to a ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I have been reading and studying this article recently about non-local weak measurements and quantum erasure. Usually the weak measurement formalism is described using the von Neumann scheme for quantum measurement, which involves a system and a meter, the latter being shifted b... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Although chloroform is an analyte, it is also an interferent because it is present at trace levels in the air. Any chloroform present in the laboratory air, for example, may enter the sample by diffusing through the sample vial’s silicon septum. How can we determine whether samp... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Supposedly, \"Any divergence-free vector field can be expressed as the curl of some other divergence-free vector field\" over a simply-connected domain. \n\nSo, what is one such vector potential which works for half of the Coulomb field?\n\nTo be clear, I want a vector potentia... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The rate constants for the reaction\\n\\n\\[\\n\\text{CHCl}_2(g) + \\text{Cl}_2(g) \\rightarrow \\text{CHCl}_3(g) + \\text{Cl}(g)\\n\\]\\n\\nat different temperatures are tabulated below:\\n\\n\\[\\n\\begin{array}{c|cccccc}\\nT/K & 357 & 400 & 458 & 524 & 533 & 615 \\\\\\n\\hlin... |