Consider the system of Eq XXXXXXXXXX). (a) Demonstrate that pressure, p, can be expressed as a function of the the state variables ρ and e and the ratio of specific heats, γ by using XXXXXXXXXXand...

Consider the system of Eq. (2.152).

(a) Demonstrate that pressure, p, can be expressed as a function of the the state variables ρ and e and the ratio of specific heats, γ by using (2.72) and (2.76).

(b) Show that the heat flow, q, can expressed in the state variable e. Assume that k is constant.

(c) Repeat the previous exercise, but now assume that k is variable and related to temperature according to (2.81) and (2.82). Is this a conservative differential equation?