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  1. Default Thermodynamics & Stat. Mech.


    If anyone is good at Stat. Mech or Thermodynamics pls look at this and let me know where'd you start.



    EDIT: Calling you out @Marksman Bryan.

  2. Nuclear testing facility Straight Male
    IGN: VerrKol
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    Default Re: Thermodynamics & Stat. Mech.


    I've seen this problem before... might be able to check my old thermo notes tomorrow. Too tired to think it through from scratch tonight.

  3. Default Re: Thermodynamics & Stat. Mech.


    Yay thanks! It's not due until Wednesday so just if you can help me out before then. I think it's a classic problem to show you that thermodynamic temperature can be negative(on Kelvin scale) in some cases cause a later question is "when would the temp be negative."

    However, just reading this I'm baffled where to even start.

  4. Default Re: Thermodynamics & Stat. Mech.


    I haven't done stat mech or thermo in a few years so forgive me if I make a mistake.

    First glance - N! divided by two other factorials makes me immediately think binomial distribution, and that fits the question of counting states (N choose R = N!/(R!*(N-R)!))
    The delE/(2*mu*B) term in the answer combined with delE>>mu*B reminds me of a certain condition (approximation?) used in stat mech. can't remember the name - sorry. but if delE>>2*mu*B there's a derivative relationship I'd have to look up.

    Total number of particles N = n1+n2

    Rewrite equation for E in terms of n1 or n2 - solution makes me think it'd also be helpful to rewrite it as an equation for n1 or n2 (one or the other - I don't think you have to do both. could be wrong).


  5. Default Re: Thermodynamics & Stat. Mech.


    I like how it says "by abusing algebra". Pity thermodynamics is not my cup of tea... no not at all, and this math is a little beyond me.

    Hadriel

  6. Default Re: Thermodynamics & Stat. Mech.


    I try to make my homework sound dramatic. :3

    EDIT: It's interesting to note here that this example can produce a negative absolute temperature if the first factorial term in the denominator is smaller than the second.

  7. Nuclear testing facility Straight Male
    IGN: VerrKol
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    Default Re: Thermodynamics & Stat. Mech.


    Looks right to me. Sorry I couldn't actually help, got stuck with my own Nuc Phys hw

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