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  1. M

    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. M

    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. M

    Calculating term in Virial Expansion

    Yes, I get 8040 using the quadratic formula.
  4. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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. M

    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...
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