1. Limited time only! Sign up for a free 30min personal 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!

Ideal gas law and thermodyanimic processes

  1. Feb 9, 2014 #1
    1. The problem statement, all variables and given/known data
    An ideal gas is enclosed in a cylinder with a movable piston at the top. The walls of the cylinder are insulated, so no heat can enter or exit. The gas initially occupies volume V1 and has pressure p1 and temperature T1. The piston is then moved very rapidly to a volume of V2=8.5V1. The process happens so rapidly that the enclosed gas does not do any work.

    Find p2, T2, and the change in entropy of the gas. [Express your answers in terms of p1, T1, n, and R.]


    2. Relevant equations
    p1V1=p2V2
    pV=nRT
    ΔS=nRln(Vf/Vi)

    3. The attempt at a solution

    To determine p2 I used the relationship p1V1=p2V2

    p2=(p1V1)/V2

    p2=(p1V1)/(8.5V1)

    p2=(p1)/8.5


    To determine T2 we see that the process itself is an isothermal process since no work was done, and no heat escaped, Q=W. So the temperature will not have changed.
    T2=T1


    I can't seem to determine ΔS correctly. Since the process is an isothermal expansion, the change in entropy is given by the equation

    ΔS=nRln(V2/V1)

    from this I can substitute 8.5V1 for V2, resulting in

    ΔS=nRln((8.5)V1/V1)

    ΔS=nRln(8.5)

    This answer however, is incorrect. The problem asks to put in the answer in terms of p1, T1, n, R. The format of this question is a blank field that allows me to create an equation with subscripts, superscripts, fractions, matrices, etc. FYI.

    Any help is appreciated, thanks in advance.
     
  2. jcsd
  3. Feb 9, 2014 #2
    Maybe they want you to put a number in for ln(8.50)?
     
  4. Feb 9, 2014 #3
    I tried putting

    nR(2.14) but that was also incorrect
     
  5. Feb 9, 2014 #4
    I don't know what to say. That's the answer I would have obtained. Maybe 2.14nR, as if that could possibly matter.
     
  6. Feb 9, 2014 #5
    I am going to have to email the professor about it then. Thank you
     
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: Ideal gas law and thermodyanimic processes
  1. Ideal gas law problem (Replies: 9)

Loading...