Air expands through a nozzle from a chamber pressure of 300 psia and temperature

Question

Air expands through a nozzle from a chamber pressure of 300 psia and temperature of 1000 R, to an exit pressure of 5psia.  During the expansion, the enthalpy decreases by 3500 Btu/slug. Assume the expansion is ADIABATIC with negligble frictional effects and that the air behaves as a CALORICALLY and THERMALLY PERFECT GAS.

a.) What is the velocity of the air at the exit?

b.) What is the temperature of the air at the exit?

I will rate The highest possible rating, for some help! This is not a textbook example. Would love some real help. Thanks.

Explanation / Answer

change in enthalpy= change in kinetic energy ;

as inlet is from chamber;

inlet velocity is close to 0 ;

3500=0.5*V^2 ;

V=83.66 ;

applyingh adiabatic equation ;

P^(1-k) T^k = constant ;

k=1.4 ;

T=3221.38

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