difficulty int64 6 10 | source stringclasses 2
values | domain stringclasses 1
value | conversations listlengths 2 2 |
|---|---|---|---|
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In trying to better understand the chiral-anomaly WZW-term interaction of the heavy vector mesons, I have trouble finding much relevant literature, but maybe I am looking in the wrong place. \nOne useful article I found is this one:\n\nS. Ozaki, H. Nagahiro, A. Hosaka, \n\"Magne... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I'm kinda confused about the following. Suppose I have a harmonic current-density of\n$$j=j_0 e^{i\\omega t}=I_0 e^{i\\omega t} \\, \\delta(x)\\delta(y-h) \\, e_z$$\nparallel to the $z$-axis (at $x=0$ and $y=h>0$) and for $y\\leq 0$ the domain is conducting with conductivity $\\... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Match the following Column I (Orbitals) Column II (Nodal Properties) (A) 2s (P) Angular node = 1 (B) 1s (Q) Radial node = 0 (C) 2p (R) Radial node = 1 (D) 3p (S) Angular node = 0"
},
{
"from": "gpt",
"value": "<think> Okay, let's see, I have to match these orbitals f... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Suppose, I wanted to compute the Hessian of the action of a complex scalar field with\n$S[\\phi,\\phi^*]=\\int \\phi(-\\Delta+m^2)\\phi^{*}+V[\\phi,\\phi^*]$,\nsay the potential is $\\sim (\\phi\\phi^{*})^2$. \nFor some reason I do not obtain the same result if I rewrite the fie... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Determine the volume of dilute nitric acid (density 1.11 g/cm\\(^3\\), 19.0% \\(\\text{HNO}_3\\) by weight) that can be prepared by diluting with water 50 cm\\(^3\\) of the concentrated acid (density 1.42 g/cm\\(^3\\), 69.8% \\(\\text{HNO}_3\\) by weight). Calculate the molar co... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The five-membered heterocycle imidazole contains two nitrogen atoms, one \"pyrrole-like\" and one \"pyridine-like.\" Draw an orbital picture of imidazole, and indicate the orbital in which each nitrogen has its electron lone pair. According to the electrostatic potential map, wh... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Al(s) + HNO3(aq) → Al(NO3)3(aq) + H2(g)\n\nReferring to the reaction below, what is a proper mole ratio between the aqueous reactant and the gaseous product Al(s) + HNO3(aq) → Al(NO3)3(aq) + H2(g)? \nA) 1 mole Al / 1 mole H2 \nB) 2 mole Al / 3 mole H2 \nC) 1 mole HNO3 / 1 mol... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The planar compounds are: (a) \\[ \\text{Ni (SiH}_3\\text{)}_4 \\] (with respect to N) (b) \\[ \\text{IF}_4^- \\] (c) \\[ \\text{BF}_3 \\] (d) \\[ \\text{BrF}_3 \\]"
},
{
"from": "gpt",
"value": "<think> Okay, so I have this question here about planar compounds and I... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "ETHYLBENZENE TO STYRENE\\n\\nPyrolysis of ethyl benzene was carried out at 950 F in a flow reactor (Rase & Kirk, Chem Eng Prog 30 35, 1954) with the tabulated results at two pressures. Find a power law rate equation for this process.\\n\\nEthylbenzene → Styrene + Hydrogen\\n\\nT... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "(a) A lone pair of the oxygen atom attacks the aluminum atom. AlCl3 functions as the Lewis acid by accepting the electrons, and the ketone functions as the Lewis base by serving as an electron-pair donor.\\n(b) A lone pair of the oxygen atom attacks a proton, as shown below. H3O... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Obtain an integrating factor by inspection for (xy^3 + 2y) \\, dx + (2x - 2x^2 y^3) \\, dy = 0. *When the given equation is written in the form* 2(y \\, dx + x \\, dy) + x^3 y^3 \\, dx - 2x^2 y^3 \\, dy = 0, the term (y \\, dx + x \\, dy) suggests 1/(xy)^k as a possible integrat... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Seaholtz and colleagues described a method for the quantitative analysis of CO in automobile exhaust based on the measurement of infrared radiation at 2170 cm^-1. A calibration curve is prepared by filling a 10-cm IR gas cell with a known pressure of CO and measuring the absorba... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Using the gravitational path integral we can define the partition function as:\n$$\nZ(\\beta) = \\int\\mathcal{D}g\\mathcal{D}\\phi e^{-I_E[g,\\phi]}\n$$\nwith boundary conditions:\n$$\nt_E \\sim t_E + \\beta, \\quad g_{tt} \\to 1 \\text{ at infinity.}\n$$\nHere, $t_E$ is the Eu... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I have the following problem (NO, this is not to ask for a solution to this problem).\n\nA block is placed on a plane inclined at an angle $\\theta$. The coefficient of friction between the block and the plane is $\\mu=\\tan{\\theta}$. The block is given a kick so that it initia... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A \\(^{124}\\text{Sb}\\) radionuclide is produced at a constant rate of \\(q = 1.0 \\times 10^9\\) nuclei per second. Having the half-life \\(T = 60\\) days it decays into the stable \\(^{124}\\text{Te}\\). Find: (a) how soon after the beginning of production the activity of \\(... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "As the end product of glycolysis, pyruvate and NADH are formed. During anaerobic conditions, this NADH is reconverted to \\( \\text{NAD}^+ \\) by what mechanism?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out how NADH gets converted back to NAD+... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Compound C (C_9H_{11}NO) gives a positive Tollens' test (can be oxidized to a carboxylic acid, Sect. 16.13B) and is soluble in dilute HCl. The IR spectrum of C shows a strong band near 1695 cm^{-1} but shows no bands in the 3300–3500 cm^{-1} region. The broadband proton-decouple... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "There are six linear dienes with molecular formula C6H10. Two are conjugated dienes. \nHow many of the linear dienes are conjugated dienes?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out how many of the six linear dienes with the molecular form... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "To prepare exactly 250 mL of 0.10 mol/L HCl(aq) starting from 1.0 L of 0.20 mol/L HCl(aq), one should also consider the reactions of ions in dilute solutions. Which of the following dilute solutions would allow a chemist to distinguish between dilute solutions of NaCl(aq) and Na... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "An equation of the form y = xy' + g(y') is called a Clairaut equation. Show that the one-parameter family of straight lines described by y(x) = Cx + g(C) is a general solution of Eq. (37)."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to show that the equati... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Since the universe has a positive cosmological constant, there is an upper limit on the mass of the black holes as evident from the so-called Schwarzschild-de Sitter metric: \n$ds^2 = -f(r)dt^2 + \\dfrac{1}{f(r)} dr^2 + r^2 d\\Omega_2^2$\nwhere, $f(r) = 1 - \\dfrac{2M}{r} - \\df... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I'm trying to figure out what the driving term in the Hamiltonian is when you drive an emitter (say a transmon qubit) through a coupled cavity (such as a CPW resonator).\nFor this I am considering a typical Jaynes-Cummings Hamiltonian of the type\n\\begin{equation}\nH = \\omega_... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Calculate normality of NH\\(_4\\)OH when 2 g is present in 800 mL solution. Also calculate its molarity."
},
{
"from": "gpt",
"value": "<think> Okay, so I have to calculate the normality and molarity of NH4OH when 2 grams of it is dissolved in 800 mL of solution. Hmm... |
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 I have to explain how irradiation with ultraviolet light allows rotation around a π bon... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "resonance electron donation is defined as the donation of electrons through π bonds. What is resonance electron donation?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to understand what resonance electron donation is. The user mentioned that it's defined as... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "4. We shall investigate a second-order reaction with the stoichiometric equation \\( A + B \\rightarrow P \\). Let the concentrations of the substances \\( A \\) and \\( B \\) be \\([A]\\) and \\([B]\\), respectively. The temporal changes of \\([A]\\) and \\([B]\\) can be determ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "How would the energy-conformation diagrams of ethane and propane differ?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out how the energy-conformation diagrams of ethane and propane would differ. Hmm, let's start by recalling what an energy-conform... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "The NN 2D Ising Model at inverse temperature $\\beta$ and external magnetic field $h$ on an $L_1\\times L_2$ sized box within $\\mathbb{Z}^2$ with periodic boundary conditions $$\\sigma_{L_{1}+1,x_{2}} = \\sigma_{1,x_{2}}\\qquad\\left(x_{2}=1,\\dots,L_{2}\\right)$$\n$$\\sigma_{x... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Dear Physics StackExchange,\nas is well known, analytic solutions of the Navier-Stokes equations are only available for very special flows. Therefore, in most fields concerned with fluid dynamics, a lot of work relies on numerical solutions. The problem is that it is often diffi... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Match the column:\\nColumn-I\\n(a) [Fe(NH_3)]^{2+}\\n(b) [MnO_4]^-\\n(c) [Mn(NH_3)]_4^{2+}\\n\\nColumn-II\\n(Number of unpaired electron)\\n(p) 0\\n(q) 5\\n(r) 1\\n(s) 4\\n\\nμ (B.M.)\\n0\\n5.9\\n1.73\\n4.90"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to m... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I am so sorry for posting this long question. But I've been confused and frustrated by perturbation series in Quantum Field Theory for years. I hope someone can help me. Thank you so much! \nIn the bare perturbation, the exact (bare) 2-point function is \n$$\nD^{\\prime}=D+D\\le... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Consider the OPEs of a 2D CFT, with nondegenerate primary fields labeled by some collection $\\mathtt{Prim}$ of indices. The data specifying the OPE can be taken as a collection\n$$\\{C_{p,q}^{r;P}\\}_{p,q,r\\in \\mathtt{Prim},P \\in \\mathrm{Part}}\\subset \\mathbb{C},$$ where ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "It is commonly written in the literature that due to it transforming in the adjoint representation of the gauge group, a gauge field is lie algebra valued and may be decomposed as $A_{\\mu} = A_{\\mu}^a T^a$. For $\\mathrm{SU}(3)$ the adjoint representation is 8 dimensional so ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Take a globally hyperbolic topologically trivial spacetime $M \\cong \\mathbb{R} \\times \\Sigma$, $\\Sigma \\cong \\mathbb{R}^{(n-1)}$. Given $p, q \\in M$, such that there exists a future-directed null geodesic $\\ell$ between $p$ and $q$, is this equivalent to the condition t... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Find the total differentials of the following functions: z = arctan (y/x) + arctan (x/y)."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to find the total differential of the function z = arctan(y/x) + arctan(x/y). Hmm, total differential usually means I have... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I have seen various explanations, including\npse1\npse2\npse3\npse4\npse5\nand so far none of them have made sense to me.\nIt is a counter-intuitive probability theory argument, like the Monty Haul question. i have found that when I look carefully at that sort of problem after a... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The most important factor in determining the efficiency of an SN1 reaction is the stability or otherwise of any carbocation that might be formed as an intermediate. Compounds that can form relatively stable carbocations generally react by the SN1 mechanism, while those that cann... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In The Feynman Lectures on Physics, Vol II, 10–5 Fields and forces with dielectrics describes a method for finding the force between two charged conductors in a dielectric. I accept the first part of his description of its application:\n\nLet us now ask what the force would be ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I want to calculate the forces acting on an element of a closed elastic string and derive a wave equation on a closed string. For this I have already figured out that if the closed shape of the string is uniquely valued wrt to the angle then one can just parameterize the closed ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Isoprene, C5H8, is a diolefine of particular interest on account of the fact that it is partly converted into India rubber when it is heated under pressure. The hydrocarbon is a liquid which boils at 37°. It is formed as the result of the destructive distillation of India rubber... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Which of the following ion cannot act as an oxidizing agent? (a) MnO\\(_4^-\\) \\quad (b) CrO\\(_4^{2-}\\) (c) I\\(^-\\) \\quad (d) Fe\\(^{3+}\\)"
},
{
"from": "gpt",
"value": "<think> Okay, let me try to figure out this question. The question is asking which ion... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "The standard question asked about the expansion of the Universe sounds roughly like: \"Does my pencil expands, together with expansion of the Universe?\"\nAnd the standard answer sounds roughly like: \"No, expansion of the Universe works at cosmological scales -- everything must... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Say you were to travel from Paris to Tokyo by digging a tunnel between both cities. If the tunnel is straight, one can easily compute that the time for travelling from one city to the other (independently from where both cities are actually) is a constant (about 42 minutes). It ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Mayo performed over 400 experiments in which allyl bromide (3-bromo-1-propene) was treated with hydrogen bromide under a variety of conditions, and determined the distribution of the \"normal\" and \"abnormal\" products formed during the reaction. Kharasch proposed that hydrogen... |
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": "The distance between the atomic centres in a nitrogen molecule is \\(1.094 \\times 10^{-10} \\, \\text{m}\\). Find the moment of inertia of the molecule and the temperature at which molecular collisions cause the state of the rotational motion to change."
},
{
"from": "g... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Arylamines, however, are weaker bases than alkylamines by a factor of about 10^6, as is the heterocyclic amine pyridine. The decreased basicity of arylamines relative to alkylamines is due to the fact that the nitrogen lone-pair electrons in an arylamine are shared by orbital ov... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Arrange the following compounds in terms of increasing intermolecular forces of attraction: \n(A). H2 < Cl2 < I2 < Br2 \n(B). H2 < Cl2 < Br2 < I2 \n(C). H2 < I2 < Cl2 < Br2 \n(D). Cl2 < H2 < Br2 < I2 \n"
},
{
"from": "gpt",
"value": "<think> Okay, so I have this... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "To reduce the long copper spiral which is to be used for the reduction of oxides of nitrogen, the method of procedure is as follows: Into a test-tube large enough to admit the spiral, I c.c. of methyl alcohol is placed; the spiral, held by crucible tongs, is then heated to glowi... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In Bailin & Love (Chapters 5-6) a formula very similar to the LSZ reduction formula is derived before any discussion of renormalization (Ch. 7).\nThey construct a generating functional for the S-matrix as a path integral over asymptotically free fields (those which tend to the i... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "From Exercise 4.5-10 of Thermodynamics and an Introduction to Thermostatistics by Callen:\n\nTwo identical bodies each have heat capacities (at constant volume) of\n $$C(T)=a / T$$\nThe initial temperatures are $ T_{10} $ and $ T_{20} $, with $\n T_{20}>T_{10} $. The two bodies... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Why does IPTG cause induction of the lac operon? How does induction by IPTG differ from induction by lactose via allolactose?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out why IPTG induces the lac operon and how it differs from induction by lac... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "(Not putting this in the math stack exchange because this is all about structure constants which are more familiar to physicists.)\nSay we have the basis of a Lie algebra $\\mathfrak{g}$ with dimension $\\dim(\\mathfrak{g}) = d$ satisfying\n$$\n[T^a, T^b] = f^{ab}_{\\;\\;\\;c} T... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "What is the boiling point of a solution of 1.00 g of naphthalene dissolved in 94.0 g of toluene? The normal boiling point of toluene is 110.75°C and \\( K_{b,t} = 32.0 \\) K for toluene.\\n - (a) 110.95°C\\n - (b) 111.0°C\\n - (c) 113.41°C\\n - (d) 110.75°C"
},
{
... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Which of the following complex is an outer orbital complex? - (a) [Ni(NH_3)_6]^{2+} - (b) [Mn(CN)_6]^{4-} - (c) [Co(NH_3)_6]^{3+} - (d) [Fe(CN)_6]^{4-}"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out which of these complexes is an outer orbital c... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "What are Tom Banks's arguments against a QFT of quantum gravity?\nI do not feel that the answer given here includes all of his arguments. The answer given in the other question only included his argument for BH entropy, but as you can see by reading pages 1-9 in the link paper, ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Chemists use special names for four fragments because they have mechanistic as well as structural significance. These fragments are vinyl and allyl; phenyl and benzyl. \n\nWhat are the four fragments for which chemists use special names because they have mechanistic and structur... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "When asked about how to find the center of gravity (CG) for a system, the answer normally goes like \"suspend the system at different points and see how the vertical lines pass through. The CG is the intersection point of the vertical lines\".\nDoes this suspension method still ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "In Hamiltonian classical mechanics, we have that the Poisson bracket of position\nand momentum satisfies $$\\{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 | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Which of the following is incorrect order of property as indicated?\\n(a) Na\\(^+\\) < F\\(^-\\) < O\\(^2^-\\) < Ne < Ar : Atomic size \\n(b) Br < Se < As < Ge : Metallic character \\n(c) Na < Al < Si < Mg : Ionisation energy \\n(d) I < Br < Cl < F : Electron affinity"
},
... |
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 | organic-chemistry-questions | science | [
{
"from": "human",
"value": "If an NIH shift does not occur, 50% of the deuterium will be retained because the epoxide can open equally easily in either direction (k₁ is equal to k₂) and subsequent loss of H™ or D™ is fast. What happens if an NIH shift does not occur with the carbocations?"
},
{
"fr... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Imagine a $x$-$y$ plane, which induces an acceleration field obeyed by the equation $ a= -\\frac{C}{z^2} \\vec{k}$ where $z$ is the perpendicular distance from the plane to the ball and $C$ is just some constant. Now a ball is thrown from a height of 1 meter from the plane, fin... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "It is known that the expansion in terms of Feynman diagrams with a series in terms of the coupling constant is an asymptotic series (i.e. it starts off a good approximation but eventually diverges). (After renormalisation is taken into account)\nThat said, is there a way to expa... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "4. Write balanced ionic equations for the following reactions.\\n (a) Zn + Cu²⁺ → \\n (b) Zn + H⁺ → \\n (c) Cr₂O₇²⁻ + I⁻ + H⁺ → \\n (d) MnO₄⁻ + Cl⁻ + H⁺ → \\n (e) ClO₃⁻ + Br⁻ + H⁺ → \\n (f) MnO₄⁻ + H₂O₂ + H⁺ → \\n (g) MnO₂ + H⁺ + Cl⁻ → \\n (h) Ag + H⁺ + NO... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "If we keep in mind that the peak area reflects the number of absorbing protons, and the multiplicity of splittings reflects the number of neighboring protons. In the spectrum of CHBr2-CH2Br we see Downfield triplet and Upfield doublet Area: 1 -C-CH2- H Area: 2 C-CH2- H. In the s... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "What lines of the atomic hydrogen absorption spectrum fall within the wavelength range from 945 to 1300 Å?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out which lines of the hydrogen absorption spectrum fall between 945 and 1300 Å. Hmm, let's sta... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "ADIABATIC REACTION. SIMPSONS RULE\\n\\nThe gas phase reaction, \\(2A \\rightarrow B\\), is conducted adiabatically at 2 atm, starting with \\(T_0 = 600 R\\) and \\(n_{a0} = 2\\) lbmol. Data are,\\n\\n\\[k = \\exp\\left(18.07-\\frac{10018}{T}\\right) \\tag{1}\\]\\n\\n\\[\\Delta H... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Acetyl CoA is used for what purposes?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out the different purposes of acetyl CoA in the body. I remember from biology class that acetyl CoA is a central molecule in metabolism, but I need to recall more d... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "(This post is a bit long; the key question is between the horizontal lines, and an example follows it.)\nI am following the derivation of the Ward identity in Schwartz's QFT book, and there is a key step that I just cannot understand. We begin with the Ward-Takahashi identity fo... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "As is well known, the solution of the vacuum Einstein equations with a non-zero cosmological constant, $G_{\\mu\\nu}+\\Lambda g_{\\mu\\nu}=0$, is an asymptotically (anti) de Sitter space based on the sign of the cosmological constant. \nNow, taking the trace of these vacuum Eins... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Write a balanced equation for the synthesis of dTMP from UMP and N⁵,N¹⁰-methylene-THF. Thymidylate synthase has four active-site arginine residues (Arg³, Arg¹⁷⁸, Arg¹⁷⁹, and Arg²¹⁸) involved in substrate binding. Postulate a role for the side chains of these Arg residues."
},
... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Molecular dynamics (MD) often use a thermostat so that they can control the temperature. Temperature tends to drift due to endo/exothermic reactions (that would normally absorb/emit heat to a large thermal bath) and numerical errors. \nThermostats are a bit cumbersome, each has ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I'm currently learning the Hubbard model. Under the assumption of contact potential, the interaction Hamiltonian written in the second quantization is\n\\begin{equation}\nH_{int} = U\\sum_{i}\\sum_{\\lambda}\\,c^\\dagger_{i,\\lambda}c_{i,\\lambda}c^\\dagger_{i,-\\lambda}c_{i,-\\... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A solution of Fe\\(^{+2}\\) is titrated potentiometrically using Ce\\(^{+4}\\) solution. Calculate the emf of the redox electrode thus formed when (i) 50% of Fe\\(^{+2}\\) is titrated, (ii) 90% of Fe\\(^{+2}\\) is titrated and (iii) 110% titration is done.\\n\\nGiven, Fe\\(^{+2}... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "(a) Chlorine gas is bubbled through a solution of ferrous bromide."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out what happens when chlorine gas is bubbled through a solution of ferrous bromide. Hmm, let me start by recalling what each of these ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "I've always wondered about the concept of listening to radio signals from space to try and look for alien life - how accurately can we distinguish \"man\"made radio signals from other forms of radiation over such long distances?\nTo ask a specific question: If, ten thousand year... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Oxidation of isopropyl alcohol to acetone by acidified dichromate occurs via formation of a chromate ester. The rate of reaction was found to be first order in acid chromate ion \\((\\text{HCrO}_4^-)\\), alcohol, and hydrogen ion. The deuterated compound \\((\\text{Me}_2\\text{C... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "What is the difference between an Einstein-Rosen Bridge (wormhole) and a tunnel through a mountain? Obviously, light that travelled around the mountain would take longer to reach other side so that light travelling through the tunnel. So, in principle, a relativistic particle tr... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The rearrangement is stereospecific and requires the Z-silyl enol ether to give the desired diastereomer of the cyclohexenone. The reaction provides a useful entry to seven-membered rings and has been applied to a number of syntheses of natural products. For example, in a synthe... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Predict the electron pair geometry and the molecular structure of the following molecule: SF2. Additionally, determine the electron pair geometry and molecular structure of the other listed molecules or ions: (a) H3O+ (b) PC14 (c) SnCl3 (d) BrCl4 (e) ICl3 (f) XeF4 (g) SF2. \n\nW... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "\nConsider the diagram above.\nWe say the phase difference between two particles vibrating between two consecutive nodes is zero. Hence we say that points B and E are in phase. However we say that points A and D are 180 degrees out of phase.\nTo me, phase difference for standing... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "The compound that undergoes decarboxylation most readily under mild condition is\\n\\n(a) COOH-CH₂COOH\\n(b) O=C=O\\n(c) COOH-CH₂COOH\\n(d) CH₃CH₂COOH (2012)"
},
{
"from": "gpt",
"value": "<think> Okay, so I have this chemistry question here about decarboxylation. Th... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A solution at 25 ℃ contains 0.01 molar propionic acid (K_a = 1.39 \\times 10^{-5}) and 0.03 molar HCl. Calculate \\alpha for propionic acid and pH of the mixture."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to calculate the alpha for propionic acid and the... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Suppose an object is rotating in a circular motion, and we change increase its radius pulling it outwards in such a way that the net torque is always zero. In such a case, the angular momentum will be conserved so the velocity and the omega of the object will decrease. I wanted ... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Which of the following cation can not give borax bead test?\\n(a) Cr^{3+}\\n(b) Co^{2+}\\n(c) Ag^+\\n(d) Mn^{2+}"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out which of the given cations can't undergo the borax bead test. The options are Cr³+, C... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "α,β-Unsaturated aldehydes and ketones are aldehydes and ketones which are conjugated with a double bond. The carbonyl oxygen of an α,β-unsaturated aldehyde or ketone is a nucleophilic center. The carbonyl carbon and the β-carbon are electrophilic centers. Nucleophilic addition c... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "How many d-orbital(s) is/are involved in hybridization of $[AuCl_4]^{2-}$?"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out how many d-orbitals are involved in the hybridization of the [AuCl4]^2- complex. Hmm, let me start by recalling some basic ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Lets say I enter a closed room with the walls and everything in it (including me and my eyes) at thermal equilibrium. Its a very hot room, but my super-eyes still work at 5000 degrees Kelvin.\nI have two propositions which are in conflict.\nThe first is that I should be effectiv... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "When 1.50 grams of a compound containing only carbon, hydrogen, nitrogen, and oxygen is burned completely in excess O2, 1.72 g CO2, 0.585 g NO, and 1.23 g H2O are produced. What is the empirical formula for the compound?\n\nWhat is the empirical formula for a compound containing... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "**P3.08.16. HYDROGENATION OF ACETONE AND CYCLOHEXENE**\\n\\nConcurrent hydrogenation of acetone (A) and cyclohexene (B) in cyclohexane occurs with Raney nickel catalyst at 25°C. Catalyst concentration was 2 g/liter and the product compositions also are in g/liter. Determine the ... |
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, so I need to explain what D- and L-descriptors are ... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "Wikipedia defines the Askar'yan Effect as...\n\n[The] Askaryan effect is the phenomenon whereby a particle traveling faster than the phase velocity of light in a dense dielectric... produces a shower of secondary charged particles which contain a charge anisotropy and thus emits... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Show how you would synthesize propanal from each of the following: (a) 1-propanol and (b) propanoic acid (\\( \\text{CH}_3\\text{CH}_2\\text{CO}_2\\text{H} \\))."
},
{
"from": "gpt",
"value": "<think> Okay, I need to figure out how to synthesize propanal from 1-propa... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "How is boron obtained from borax? Give chemical equations with reaction conditions. Write the structure of \\(\\text{B}_2\\text{H}_6\\) and its reaction with HCl. (2002)"
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out how boron is obtained from b... |
null | stackexchange-physics | science | [
{
"from": "human",
"value": "There appears to be an apparent dichotomy between the interpretation of second quantized operators in condensed matter and quantum field theory proper. For example, if we look at Peskin and Schroeder, the Hamiltonian for the quantized Dirac field Hamiltonian is given by eqn. 3.1... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "To produce aliphatic thiols, the solution is to use the anion of thiolacetic acid, usually the potassium salt. This reacts cleanly through the more nucleophilic sulfur atom and the resulting ester can be hydrolysed in base to liberate the thiol. What must you use to react cleanl... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Determine the mass of a solid bounded by the surfaces \\(x^2 + y^2 - z^2 = 0\\) and \\(z = h\\) if the density at each of its points is equal to the \\(z\\)-coordinate of this point."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to find the mass of a solid t... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "Give the product obtained by the reaction between allene and :CH2 (methylene)."
},
{
"from": "gpt",
"value": "<think> Okay, let's tackle this reaction between allene and methylene. First, I need to recall what allene looks like. Allene has the structure H₂C=C=CH₂, ri... |
null | organic-chemistry-questions | science | [
{
"from": "human",
"value": "A \\( ^{11}\\text{C} \\) nucleus undergoes a positronic decay to produce a daughter nucleus directly in the ground state. Calculate: (a) the highest kinetic energy of positrons and the corresponding kinetic energy of the daughter nucleus; (b) the energies of the positron and neu... |