Question #175244

An adiabatic expansion of air occurs through a nozzle (W1=0) from 850 kPa and 75C to 140 kPa. For an isentropic expansion find: specific volume(m/kg), temperature(C) and velocity(m/s) at the exit section assuming initial kinetic energy is negligible

Expert's answer

The inlet temperature(T1)= 75 C=75+273=348 K

Inlet Pressure(P1)=850 x 10^{3} Pa

The exit Pressure(P2)=140x10^{3}Pa

Assuming air as ideal gas having following properties:

Cp = 1.004 kJ/kg.K, Cv = 0.718 kJ/kg.â€‹K, k = 1.4 and R=0.287 kJ/kg K

Since the expansion is adiabatic,

specific volume at exit is given by,

In an adiabatic turbine there is no Heat or work transfer between system and surrounding,

W=0, Q=0

Applying steady flow energy equation between inlet and exit.

At inlet velocity of flow is negligible,

=> V_{1}=0

The velocity at exit is given by,

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