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Heat transferred during an infinitesimal quasi static process of an ideal gas

  1. Nov 1, 2011 #1
    1. The problem statement, all variables and given/known data
    Show that the heat transferred during an infinitesimal quasi static process of an ideal gas can be written as

    dQ = (Cv/nR)(VdP) + (Cp/nR)(PdV)
    where dQ = change in heat
    Cv= heat capacity while volume is constant
    n= number of moles of gas
    R= ideal gas constant
    Cp= heat capacity while pressure is constant
    V = volume, dV = change in volume
    P= Pressure, dP = change in pressure



    2. Relevant equations



    3. The attempt at a solution
    Alright so this I honestly had no idea how to start since this is a quasi-static process
    We must use these equations

    dQ= Cv*dT + PdV
    dQ= Cp*dT - VdP

    where dT is change in temperature since this is not adiabatic we cannot rule out temperature

    Any suggestions where to go from here ?
     
  2. jcsd
  3. Nov 2, 2011 #2

    ehild

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    Homework Helper
    Gold Member

    Find dT by equating the equations for dQ.

    ehild
     
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