av +(C, +r(@). V 4.a Show that enthalpy as a function of volume and temperature can be expressed in the form: 1 dH =(P+TTT -) V )dT by following the steps below: i. Express dH(V,7) as a state function. ii. Substitute dH=U + PV into both partial derivatives. iii. Use the appropriate thermodynamic identities. b. Show for an ideal gas that this expression reduces to: dH= CedT. (as it should, because if H is a function of V/ and T, then P must be constant.) aH a T-1 c. Show that the first partial derivative term can be alternatively expressed as: o =