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Final temperature in reversible expansion

  1. Aug 28, 2012 #1
    1. The problem statement, all variables and given/known data

    One mole of an ideal monatomic gas initially at volume Vi and temperature 1000k expands to a final volume Cvi in three reversible steps: 1) isothermal expansion from Vi to aVi, 2) adiabatic expansion from aVi to bVi and 3) isothermal expansion from bVi to Cvi

    In terms of a,b,c calculate
    a) final temperature
    b) total heat transferred to gas
    c) total entropy change


    2. Relevant equations

    TV^γ-1=C
    Q=nrtln(V1V2)
    ds= dq/dt


    3. The attempt at a solution

    a) final temperature = 1000(a/b)^2/3

    b) heat transferred = 1000Rlna + 1000R(a/b)^2/3ln(c/b)

    c) entropy change = Rln(ac/b)

    Could someone check these for me please?
     
  2. jcsd
  3. Aug 28, 2012 #2

    TSny

    User Avatar
    Homework Helper
    Gold Member

    Your answers look correct to me.
     
  4. Aug 29, 2012 #3
    ok thanks alot
     
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