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Homework Help: Find temperature of ideal gas, given n, P, Vi, Vf, and Work.

  1. May 11, 2012 #1
    1. The problem statement, all variables and given/known data

    The previous part of the question:

    (a) 1 mole of an ideal gas in a container is at 303,000 Pa, volume is 0.005 m^3. What is the work done by the gas if it expands at constant pressure to twice its original volume?

    (This was easy enough)

    The part I'm having trouble with:

    (b) Thus, find change in temperature of the gas.

    2. Relevant equations

    W = p.dV

    3. The attempt at a solution

    For (a), I used W = p.dV, and by multiplying together (303,000) and (0.005), I got 1515 J as work done.

    I now have number of moles, Pressure, initial and final volume, and work. I need to find the change in temperature. I've looked through my notes, but I can't seem to find any equation which would give me the change in temperature.

    Thanks very much.
  2. jcsd
  3. May 11, 2012 #2
    use charle's law and ideal gas eqn.
  4. May 11, 2012 #3
    I know the ideal gas equation is PV = nRT, and I see that Charles' law is that volume is proportional to temperature, but I don't really understand how to work with 'is proportional to'?

    How do I work with Charles' law?

    Thanks for helping!
  5. May 11, 2012 #4
    can you get initial temp. from ideal gas eqn and since volume is doubled so is temp.
  6. May 11, 2012 #5
    Ohhhhhhhh! Got you :) Thanks very much!
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