$10mo\frac{l}{s}$ of gas enters a steady state, adiabatic nozzle at $T=300C$ and $P=5$ bar and leaves at $T=100C$ and $P=1$ bar. Find the exiting velocity of the gas if it is:

A$.$ Steam

B$.$ Nitrogen, modeled as an ideal gas

C$.$ An ideal gas with $C_P=(\frac{7}{2})R$ and a molecular mass of $28\frac{g}{m}ol$