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Question

A gas-turbine power plant operates on the simple Brayton cycle with air as the working fluid and delivers 32 MW of power. The minimum and maximum temperatures in the cycle are 310 and 900 K, and the pressure of air at the compressor exit is 8 times the value at the compressor inlet. Assuming an isentropic efficiency of 80 percent for the compressor and 86 percent for the turbine, determine the mass flow rate of air through the cycle. Account for the variation of specific heats with temperature.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 17**Given**

- 32 MW of power
- minimum temperature $T_1= 310\text{ }K$
- maximum temperature $T_3= 900\text{ }K$
- pressure ratio = 8
- isentropic efficiency of compressor = $80\%$
- isentropic efficiency of turbine = $86\%$

An acutal gas-turbine cycle is considered. Irreversibilities of turbine and compressor must be taken into account. To determine what is required, we must find the net work done of the cycle.

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