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You are give a system about which two things are known: the relation between pressure, volume and...

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Physics

You are give a system about which two things are known: therelation between pressure,

volume and temperature, and the heat capacity at constant volume(α is a constant) PV^3=αT; CV =A(V)T

Please
(a) Find the derivative of entropy with respect to volume at fixedT

(b) Show that the coefficient A(V ) in the specific heat isindependent of V

(c) Find S(T,V) in terms of the (assumed known) value S0 of theentropy at a given temperature and volume T0, V0, S0 = S(T0,V0).

(d) Find the heat capacity at constant pressure

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