Hot combustion gases, modeled as air behaving as an ideal gas, enter a steady-state turbine at 145 psi, 2700oR, and exit at 29 psi and 1974oR. The power output is 74.26 hp, and heat transfer from the turbine to the surroundings occurs at a rate of 14 BTU/s. Required:
Determine the power output of the turbine, in hp.

Hot combustion gases, modeled as air behaving as an ideal gas, enter a steady-state turbine at 145 psi, 2700oR, and exit at 29 psi and 1974oR. The power output is 74.26 hp, and heat transfer from the turbine to the surroundings occurs at a rate of 14 BTU/s.

Required:

a)Determine the power output of the turbine, in hp.

b) The Flow rate

a)

b)

Explanation:

From the question we are told that:

Initial Pressure

Initial Temperature

Final Pressure

Final Temperature

Output Power

Heat transfer Rate

Generally the equation for Steady flow energy is mathematically given by

Where

From Steam table

Therefore