The products of combustion of a jet engine have a molecular weight, \(m_{w}\), of 30 and a molar specific heat at constant pressure given by \(c_{p, m}=3.3 \times 10^{4}+15 T \mathrm{~J} / \mathrm{kmol} \mathrm{K}\) where \(T\) is the gas temperature in Kelvin. When the jet pipe stagnation temperature is \(1200 \mathrm{~K}\) the gases leave the nozzle at a relative speed of \(600 \mathrm{~m} / \mathrm{s}\). Evaluate the static temperature of the gas at the nozzle exit and estimate the total to static pressure ratio across the nozzle. Assume that the products of combustion behave as an ideal gas and that the flow is isentropic.

In a frictional nozzle producing the same mean outlet speed from the same inlet gas temperature, what would be the effect on

(a) the mean outlet static temperature, and

(b) the total to static pressure ratio?

[1092 K; 1.732; (a) unaffected; (b) increased]