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...
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.
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.
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?
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..
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...
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.
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...
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...
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...
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...
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...