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!

Homework Help: Can you write the ideal gas law this way?

  1. Dec 16, 2011 #1
    1. The problem statement, all variables and given/known data
    Calculate the work done in an adiabatic process where P1 = 1.2 atm, V1 = 0.2 m^3, P2 = 2.4 atm and V2 = 0.117 m^3

    2. Relevant equations

    3. The attempt at a solution
    I tried to group the work formula as follows:

    and then tried to rewrite the ideal gas law the following way:

    nΔT = (ΔPΔV)/R

    then I rewrote the Work equation as


    However, this did not yield the correct answer. I imagine the problem arises in my rewriting of the ideal gas law...is it never ok to express the ideal gas law in this way?

  2. jcsd
  3. Dec 17, 2011 #2


    User Avatar
    Homework Helper

    You can not write the ideal gas low in that way! For a very little step, you can write nRdT = d(PV)=dP V+dV P. Both P and V change during the process, so the factors of dV and dP are not constants. They are functions.

    So it is better to use the basic equation for change of the internal energy in the adiabatic process Δ U= -W(gas), that is Cvn(T2-T1)=-W(gas)
    Determine T1 a and T2 from the given P and V data using the ideal gas law, PV=nRT, and substitute them in the equation for W(gas)

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook