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1. Microstates of an Einstein solid

Ok, so ##\Omega## only gives the multiplicity for a single macro state? I was misinterpreting what q meant. Thank you.
2. Microstates of an Einstein solid

My confusion isn't exactly with a homework problem, but more with an example that is key to understanding a homework problem. So I am posting here anyway. 1. Homework Statement The example is of an Einstein solid, with N=3 oscillators. The book lists the multiplicity of each macrostate, with...
3. Calculating term in Virial Expansion

Yes, I get 8040 using the quadratic formula.
4. Calculating term in Virial Expansion

No, that is the answer I get from successive substitution, the previous 8147 that I posted, was actually 8.147x10^4, and I still needed to divide by P to get my final answer.
5. Calculating term in Virial Expansion

Ah ok, thank you. And jsut for completeness' sake, I found another error, I wasn't dividing by P and was misreading my calculator, my actual V/n was 8042 cc/mol.
6. Calculating term in Virial Expansion

Where exactly? I've been working on it so long it's harder and harder to find my mistakes.
7. Calculating term in Virial Expansion

Ok, cool, now I've got V/n = 8147cc/mol. Which seems much more reasonable. Thank you! On the other hand, though, why would the quadratic formula fail to give an accurate V?
8. Calculating term in Virial Expansion

##P-Pressure=10.13 \frac{N}{cm^2}; R-constant= 8.31 \frac{J}{mol*K}=831\frac{N*cm}{mol*K}## ##PV^2 - nRTV - B(T)n^2RT = 0## ##V = \frac{-(-nRT) + \sqrt{(nRT)^2 - 4(P)(B(T)n^2RT)}}{2P}## ##V = \frac{(831*100) + \sqrt{(831*100)^2 - 4(10.13)(-160)(831*100)}}{2*10.13}## ##V = 8358 cm^3##
9. Calculating term in Virial Expansion

I wasn't converting one of the constants, so I'm in the right degree of 10 now. It would make sense that V from the virial equation should be less than V from the ideal gas law. But now I've got 8358 cc/mole. Not really sure where I'm going wrong so quadratic formula madness is coming..
10. Calculating term in Virial Expansion

Ok, I found my problem. I left out T^2 when I substituted numbers into the variables on my white board. So I kept making the same mistake over and over. Here's what I got, V=98.13cm^3 using the virial expansion and V=82.03cm^3 using the ideal gas law. Does this seem like a reasonable...
11. Calculating term in Virial Expansion

I'm going to try it a couple more times carefully before I subject my self to typing the quadratic formula with units and what not. :)
12. Calculating term in Virial Expansion

Ok, thats what I tried doing. I did get an answer. It was close'ish to the answer I got when calculating V just from the ideal gas law, but off by a couple of factors of 10. I must have made some sort of conversion mistake.
13. Calculating term in Virial Expansion

Homework Statement ...For each of the temperatures...compute the second term in the virial equation ##B(T)/(V/n)##, for nitrogen at atmospheric pressure. Homework Equations ##PV = nRT(1+\frac{B(T)}{V/n}+\frac{C(T)}{(V/n)^2}+...)## The Attempt at a Solution I'm given a list of temperatures and...
14. Time Dependent Schrodinger Equation

Got it, I've forgotten a lot. It's been over year since DiffEq, and a year before that since Cal 3. Thank you. EDIT: Actually, one last thing. Why can I let V=0? EDIT: Nevermind, I think I see what is going on. This may be overly simplistic, but basically in order for a wave function...
15. Time Dependent Schrodinger Equation

I couldn't agree more. ##\frac{\hbar^2}{2m}Ak^2sin(kx-{\omega}t){\partial}x+0=-i{\hbar}A{\omega}cos(kx-{\omega}t){\partial}t##
16. Time Dependent Schrodinger Equation

Homework Statement Show that the wave function ##\Psi(x,t)=Asin(kx-ωt)## does not satisfy the time dependent Schrodinger Equation. Homework Equations ##-\frac{\hbar}{2m}\frac{\partial^2\psi(x,t)}{{\partial}x^2}+V(x,t)\psi(x,t)=i\hbar\frac{\partial\psi(x,t)}{{\partial}t}## The...
17. Relativistic Kinetic or Classical?

I think in the frustration I broke an algebra rule, and did: ((E/mc^2)+1)=(E/mc2)^2+1^2 >.<
18. Relativistic Kinetic or Classical?

Homework Statement Suppose you want to make a velocity selector that allows undeflected passage for electrons whose kinetic energy is ##5x10^4eV##. The electric field available to you ##2x10^5V/m##. What magnetic field will be needed? Homework Equations ##u=\frac{E}{B}## u is velocity, E is...
19. Quick Relativity problem set up

Homework Statement (Verbatim) A particle moves with speed .9c along the x'' axis of frame S'', which moves with speed .9c in the positive x'-direction relative to frame S'. Frame S' moves with speed .9c, in the positive x-direction, relative to S. a.) Find the speed of the particle relative to...