Thermo: Dependence of pressure on entropy at a constant temperature

  1. 1. The problem statement, all variables and given/known data
    I was asked to prove that (dP/dS)T (subscript T ie, at a constant temperature) equals κPV ("kappa"PV, or, isothermal compressibility x pressure x volume).
    By using the Maxwell relation -(dS/dP)T = (dT/dV)P I got an answer of -1/(alpha*volume) but cannot find out how to make this into kPV.. unless the question is wrong in the first place.



    2. Relevant equations

    Maxwell relation -(dS/dP)T = (dT/dV)P

    3. The attempt at a solution

    By using the Maxwell relation -(dS/dP)T = (dT/dV)P I got an answer of -1/(α*V) but cannot find out how to make this into κPV.. unless the question is wrong in the first place. Ty.
     
  2. jcsd
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