Solve Thermodynamics Problem: Determining Exit Temp & Velocity

[bill nye scienceguy!]

A nozzle is supplied with steady gas stream at temperature = 800K and pressure = 300kN/m^2. If the gas expans adiabatically through the nozzle to a pressure of 158kN/m^2 following the law Pv^1.4 = constant, determine the exit temperature and velocity of the gas flow.


I've already found the exit temperature using:

T2/T1 = (P2/P1)^[(n-1)/n]

so how would i go about finding the exit velocity? I tried using the steady flow energy equation but to no avail.

 

[siddharth]

I tried using the steady flow energy equation but to no avail.

Why not? I think that the steady flow energy equation will give you the answer.