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Thermo: Dependence of pressure on entropy at a constant temperature 
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#1
Dec1512, 03:54 PM

P: 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. 


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