Please do all. 6) Using U= U(P,T) and the first law, derive the following8q =MedP+ PdT ++ PӘР.Using the above expression at constant P, prove that= Cp – PVa-Using U=U(P,T) and U = U(V,T), prove that= PVß – (C, – G,) 2%3DӘР /тWhere a and ß are, thermal expansion coefficient and compressibility respectively.

1) Given, dQ=∂U∂TP+P∂V∂TPdT+∂U∂PT+P∂V∂PTdP At constant pressure, dQ will be, dQ=∂U∂TP+P∂V∂TPdT or,…

Using U= U(P,T) and the first law, derive the following sq = [), əv + P + P dT + dP T Using the above expression at constant P, prove that Car), = Cp – PVa ƏT Using U=U(P,T) and U = U(V,T), prove that ), = PVB – (C, – Cy) ne | a Where a and B are, thermal expansion coefficient and compressibility respectively.

Using U= U(P,T) and the first law, derive the following sq = [), əv + P + P dT + dP T Using the above expression at constant P, prove that Car), = Cp – PVa ƏT Using U=U(P,T) and U = U(V,T), prove that ), = PVB – (C, – Cy) ne | a Where a and B are, thermal expansion coefficient and compressibility respectively.