題組內容

3. For a closed simple compressible system operating with air as an ideal gas with molecular weight M as well as constant specific heats cp and cv where614164b2a353e.jpg. The temperature T, pressure p, specific volume v and specific entropy s of two equilibrium states of this system are given as (T1, p1, v1, S1) and (T2, p2, v2, S2), respectively. The universal gas constant is6141653d2e74c.jpg. Please derive the following relations. (32%)

(b)s2 -S1 =cvIn(T2/T1) +R(v2/v1) and s2 -s1=cp(T2/T1)-R(p2/p1)