Estimate the c_p of nitrogen at 300 kPa and 400 K, using

(a) The relation in Prob. 12–91,

Data From Q#91:

Consider an infinitesimal reversible adiabatic compression or expansion process. By taking s = s(P, v) and using the Maxwell relations, show that for this process Pv^k = constant, where k is the isentropic expansion exponent defined as

Also, show that the isentropic expansion exponent k reduces to the specific heat ratio cp/cv for an ideal gas.

(b) Its definition. Compare your results to the value listed in Table A–2b.

Transcribed Image Text:

U ( OP k = - P du