1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Archived Volume Expansivity of Ideal Gas

  1. May 17, 2007 #1
    1. The problem statement, all variables and given/known data
    Calculate the volume expansivity, β, for one mole of ideal gas at constant pressure and at room temperature.


    2. Relevant equations

    β=1/V(dV/dT)

    3. The attempt at a solution

    Bit stumped on this one, I'm guessing they want it in terms of P as P is not specified.
    I used equation of state with n=1 giving PV=RT

    > V=RT/P

    > β=P/RT(dV/dT)

    As the temperature and pressure are constant would dV/dt be zero?
    Its from here I am stuck :confused: , any help welcome

    Thanks
     
  2. jcsd
  3. Feb 8, 2016 #2

    DrClaude

    User Avatar

    Staff: Mentor

    If V=RT/P, then (dV/dt) = R/P for P = const. Therefore
    $$
    \beta = \frac{1}{V} \left( \frac{d V}{d T} \right) = \frac{P}{RT} \frac{R}{P} = \frac{1}{T}
    $$
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Volume Expansivity of Ideal Gas
Loading...