ENGINEERINGAt certain states, the p-v-T data of a gas can be expressed as $Z=1-A p / T^{4},$ where Z is the compressibility factor and A is a constant. a. Obtain an expression for $(\partial p / \partial T)_{v}$ in terms of p, T, A, and the gas constant R. b. Obtain an expression for the change in specific entropy, $\left[s\left(p_{2}, T\right)-s\left(p_{1}, T\right)\right].$ c. Obtain an expression for the change in specific enthalpy, $\left[h\left(p_{2}, T\right)-h\left(p_{1}, T\right)\right].$