Using an appropriate cyclic rule and an appropriate Maxwell relation, show that (∂P / ∂V)S = γ (∂P / ∂V)T where γ = CP / CV
admin We know that cyclic is given as: (∂P / ∂V)S (∂V / ∂S)P (∂S / ∂P)V = -1 (∂P / ∂V)S = – / = / = -/ = –…
Second Law of Thermodynamics
Explain Clapeyron-Clausius Equation and also give its derivation
Clapeyron discovered an important fundamental equation which helps in finding the extensive application in one component, two phase system and by Clausius from second law of thermodynamics. Hence this fundamental…
A mass ‘m’ of fluid at temperature T1 is mixed with an equal amount of the same fluid at temperature T2. Prove that the resultant change of entropy of the universe is: [2 mc ln (T1 + T2) / 2]/[(T1 T2)1/2]and also prove that it is always positive.
Mean temperature of the mixture = (T1 + T2) / 2 Thus change in entropy is given by: ∆S = S2 – S1) = mc (T1 + T2)/2∫ T1 (dT…