Questions asked by TruongSon N.
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How to do this equilibrium derivation? (I'll post an answer showing the problem)

What makes the classical dipole moment for water different than its experimental result? I used #r = 0.958# angstroms, #A_(HOH) = 104.4776^o#, and #q_(OH) = 0.52672 a.u.#, where #a.u. = # electroncharge. My result was #1.484 D#, compared to #1.85 D#.

Any chance secondsemester/year Organic Chemistry topic categories can be added? e.g. Grignard Reactions, Benzene Sub/Elim Rxns, Robinson Annulation, etc.?

What is the overall charge of the ProMetPheSerGluLeu polypeptide at pH #7.2#? I've drawn it, and I think it's #1#, but I'm not 100% sure.

When using Greater Than symbol to indent, the content that goes after it cannot be commented on or marked helpful/confusing?

Is there a way to write #rightleftharpoons# with something above and below, while still keeping #rightleftharpoons# on the same line as the rest of the text? This would be useful for equilibrium reactions and kinetics.

Writing [content]_(a)^(b) gives a Math Processing Error?

What is a dilation, or scaling around a point?

What are all the relevant extensive and intensive thermodynamic quantities?

Browser compatibility  Can't answer questions when using Internet Explorer?

How many isomers of [insert straightchained alkane here] exist?

What happened to the "Unanswered questions" button, the ability to sort questions according to "Conceptual" vs. "Practice", etc. on the Subject pages?

Ordered lists can't be commented on or rated?

When is the aspartate mechanism used for transferring oxaloacetate from the mitochondrion to the cytosol?

Is there a systematic way to determine the number of numbers between 10 and, say, 50, divisible by their units digits?

What are the roles of each member of the SHD catalytic triad? How does the mechanism work?

How do you find the #LU# factorization for #tildeA = [(1,0),(3,1)]# such that #tildeL# is unit diagonal?

How do you use symmetryadapted linear combinations to explain water's molecular bonding?

How do you efficiently show that for the vector space #V# where #f(x)# is continuous on #[0,15]# and #W# where #f(x)# is differentiable on #[0,15]#, #W# is a subspace in #V#, i.e. #W sube V#?

Suppose there was a basis for and a certain number of dimensions for subspace #W# in #RR^4#. Why is the number of dimensions #2#?

What is the difference between the trans influence and trans effect on squareplanar transition metal complex substitution/interchange reactions? So is the trans influence defined under the trans effect or alongside, or both?

What's the visual and mathematical difference between a vector projection of #a# onto #b# and an orthogonal projection of #a# onto #b#? Are they just different ways to say the same thing?

What is an Abelian group, from a linear/abstract algebra perspective?

Have we ever used #""^56 "Co"# for any interesting industrial purpose(s)? Cite any sources you may find on this.

Find the matrix #A# for the linear transformation #T# relative to the bases #B = {1,x,x^2}# and #B' = {1,x,x^2,x^3}# such that #T(vecx) = Avecx#?

What is going on with the alkyl migration step in the Schmidt reaction mechanism on a ketone?

Prove quantitatively that for infinitesimally small #Deltax#, #(Deltax)/x ~~ Delta(lnx)#?

How do I calculate the new pressure of liquid water using its isothermal compressibility #kappa# and expansion coefficient #alpha#?

Without using Wolfram Alpha, evaluate #log_10(y) = 138.265#? The answer is not #0#.

How do you find the infinite sum of a p series? EX: #1/n^2#

How do you write position and momentum in terms of the raising and lowering operators?

Prove that for an idealgas reaction, #(dlnK_C^@)/(dT) = (DeltaU^@)/(RT^2)#?

A certain gas mixture is held at #395^@ "C"# has the following initial partial pressures: #P_(Cl_2) = 351.4#, #P_(CO) = 342.0#, #P_(COCl_2) = 0#, all in #"torr"#. Find #K_P^@#?

Using #psi_0 = ((2c)/(pi))^("1/4")e^(cx^2)# as the normalized groundstate wave function, find #c#, and the trial energy #E_phi# such that #E_phi = (<< phi_0  hatH  phi_0 >>)/(<< phi_0  phi_0 >>) >= E_0#, where #E_0# is the exact groundstate energy?

Despite the large difference in electronegativity between #"Si"# and #"F"#, #"SiF"_4# has a boiling point lower than that of #"NH"_3# (#86^@ "C"#, vs. #33^@ "C"#). Why is that? Could it be due to the symmetry? Hydrogenbonding?

Use the DebyeHuckel equation to evaluate #gamma_(pm)# for a #"0.0200 mol/kg"# #"HCl"# solution, with methanol as the solvent, at #25^@ "C"# and #"1 atm"#?

How would I determine all the possible term symbols for an #s^1p^2# electron configuration (such as firstexcitedstate boron)?

Will there ever be a feature to export PDFs of scratchpads (including all the cool MathJax going on)?

What is #int 9/(x^2sqrt(4x+1))dx#?

Is there a systematic way to determine an integrating factor #mu(x,y)# of the form #x^n y^m#, given a notnecessarilyexact differential equation?

For the nonhomogeneous equation, using the method of undetermined coefficients, the solution I got for #(d^2y)/(dx^2)  5(dy)/(dx) + 6y = xe^x# is #y = (xe^x)/2 + (3e^x)/4#, but along the way I got two solutions for #A_1#?

How would I convert kinetic energy for one particle in six dimensions (x, y, z, and their time derivatives) from Cartesian to spherical coordinates? Note: #dotq = (delq)/(delt)#, and this is from a 1962 Statistical Mechanics textbook by Norman Davidson.

For the unit vector #hattheta#, geometrically show that #hattheta = sinthetahati + costhetahatj#? Essentially, converting from cartesian to polar, how would I determine the unit vector for #vectheta# in terms of #theta#, #hati#, and #hatj#?

If I had #N# fermions, how could I determine the number of ways I can place these into #g# distinguishable containers? For example, how could I determine how many ways I could place #54# electrons into #54# #p# orbitals?

Suppose you have #"500.0 mL"# of #"0.200 M"# acetic acid (#K_a = 1.8 xx 10^(5)#). To make a #"pH"# #4.50# buffer, how many #"mL"# of #"3.0 M"# #"NaOH"# must be added?

What trigonometric identity was used to get from #sin((kpix)/L)[A_kcos((kpict)/L) + B_ksin((kpict)/L)]# to #E_ksin((kpix)/L)cos[(kpic)/L(tt_k)]#? What is the relationship between the pair of constants #E_k# and #t_k#, and the pair #A_k# and #B_k#?

How do I verify the percent composition of #"MgSO"_4cdotx"H"_2"O"# in this Epsom Salt package and solve for #x#?

Given the distribution of #N# particles in #n# systems, #t = prod_N prod_i (n!)/(n_(N_i)!)#, and the following constraints, derive the grand canonical partition function and the distribution law for the grand ensemble?

Is there an error in this question: Show that #((del^2Q)/(delbeta^2))_V = bar(E^2)  barE^2# (the variance of the energy)? #beta# is only a function of temperature #T#, not a function of volume #V#. #E# is a function of only #V#.

How could I compare a SYSTEM of linear secondorder partial differential equations with two different functions within them to the heat equation? Please also provide a reference that I can cite in my paper.

Given internal coordinates of a molecule (say, #"CCl"_3"Br"#), its relevant bond length(s), and bond angle(s), how do you calculate the moments of inertia in each direction? #r_(CBr) = "1.91 Å"#, #r_(CCl) = "1.77 Å"#, #/_ClCBr = 109.4bar(66)^@#

#y(x,t) = Ce^(iomegax//c)e^(iomegat) = Ce^(ialpha)#, where #alpha = (2pix)/lambda  2pi nut#... Show that for standing waves, #y(x,t) = Asin((npix)/L)sin(2pin nu_0 t + delta)#? You may want to note the boundary conditions of a vibrating guitar string.

Could someone elaborate on orthogonal polynomials?

How do I truncate this infinite series by choosing an odd #l#?

How do I calculate the Fourier Transform of #a/(2pi) 1/(a^2 + x^2)#?

How do you show that #lim_(r>oo) e^(ircostheta  rsintheta) = 0#?

How do I use this proved result for the Dirac Delta function to evaluate the following integral involving a Dirac Delta function of a function?

Why does a Gaussian wave packet take on the minimum value of the Heisenberg Uncertainty Principle?

Conceptually, why does a Fourier transform connect the wave function in a position representation to its representation in the momentum representation?

How do you use spherical Bessel functions of the first and second kind to solve the following ordinary differential equation?

What could the #""^(n)"Pr"# mean in #""^(n)"PrNH"_2#?

How do you generalize #Delta(PV)# from #d(PV)#?

Calculate for the firstexcited state #psi_1(x)# of the simple harmonic oscillator the value of the Heisenberg Uncertainty relation?

How can we prove that #m_l <= l#, i.e. that the magnetic quantum number can be no bigger than #l#, and no more negative than #l#?

How do we know that the atomic orbital angular momentum magnitude is #sqrt(l(l+1))ℏ#, where #ℏ = h//2pi#?

Why is there a discrepancy in the force constants of #"HBr"# vs. #"HCl"#?

A #"100.00mL"# solution containing #"0.500 M"# #"NH"_3# and #"0.500 M"# #"NH"_4^+# (#"pK"_a = 9.26#) had #"NaOH"# added to it, and increased to a #"pH"# of #10.26#. If #"20.45 mL"# of #"NaOH"# was added, what was its molarity at the time of addition?

What is the internal energy for an isothermal process?

What is the van't Hoff factor for a binary ionic compound #"MX"# for which ion pairing has led to a percent dissociation of #50%#?