Chapter 20, Problem 59P

Develop equations to fit the ideal specific heats $c_p\left(\text{kJ/kg}\cdot \text{K}\right)$, as a function of temperature T (K), for several gases as listed in Table P20.59.

TABLE P20.59 Ideal specific heats, $c_p\left(\text{kJ/kg}\cdot \text{K}\right)$ as a function of temperature of several gases.

Gas	250 K	300 K	350 K	450 K	550 K	650 K	800 K	900 K	1000 K
${\text{H}}_{\text{2}}$	14.051	14.307	14.427	14.501	14.53	14.571	14.695	14.822	14.983
${\text{CO}}_2$	0.791	0.846	0.895	0.978	1.046	1.102	1.169	1.204	1.234
${\text{O}}_2$	0.913	0.918	0.928	0.956	0.988	1.017	1.054	1.074	1.09
${\text{N}}_2$	1.039	1.039	1.041	1.049	1.065	1.086	1.121	1.145	1.167