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First Law of Thermodynamics - Isobaric Cooling

  1. Sep 15, 2012 #1
    1. The problem statement, all variables and given/known data

    An ideal monatomic gas has an initial pressure of 3 atm, an initial volume of 1 L, and is at an initial temperature of 90 degrees Celsius. It first expands isothermically to 2 L and is then cooled isobarically to a point where it is adiabatically compressed to its initial state. Calculate the total work done.

    2. Relevant equations
    w2→3=∫PdV=P(V2-V1


    3. The attempt at a solution
    Alright. I think I pretty much know what to do, but I am still a little confused. So, I've found the work done after the transition from state 1 to state 2. From there, can I calculate the new pressure at state 2 with P1V1=P2V2? And then, once I have my second pressure, this will be the pressure I use in my integral above. However, I do not know the volume the gas will be after the transition to the third state, which is what I need to find the value of the integral, correct? Or am I missing something?
     
  2. jcsd
  3. Sep 16, 2012 #2
    "....where it is adiabatically compressed to its initial state."
     
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