Question

A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 1600 kPa. The working fluid is air, which enters the compressor at 40°C at a rate of 850 m^3/min and leaves the turbine at 650°C. Assuming a compressor isentropic efficiency of 85 percent and a turbine isentropic efficiency of 88 percent, determine: (a) the net power output, (b) the back work ratio, and (c) the thermal efficiency. Use constant specific heats with cv = 0.821 kJ/kg·K, cp = 1.108 kJ/kg·K, and k = 1.35.

          A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 1600 kPa. The working fluid is air, which enters the compressor at 40°C at a rate of 850 m^3/min and leaves the turbine at 650°C. Assuming a compressor isentropic efficiency of 85 percent and a turbine isentropic efficiency of 88 percent, determine:
(a) the net power output,
(b) the back work ratio, and
(c) the thermal efficiency.
Use constant specific heats with
cv = 0.821 kJ/kg·K,
cp = 1.108 kJ/kg·K, and
k = 1.35.

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Added by Kimberly F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

08/24/2022

Step 1

- Pressure limits: \( P_1 = 100 \, \text{kPa} \), \( P_2 = 1600 \, \text{kPa} \) - Inlet temperature to the compressor: \( T_1 = 40^\circ \text{C} = 313 \, \text{K} \) - Outlet temperature from the turbine: \( T_4 = 650^\circ \text{C} = 923 \, \text{K} \) - Show more…

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A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 1600 kPa. The working fluid is air, which enters the compressor at 40°C at a rate of 850 m^3/min and leaves the turbine at 650°C. Assuming a compressor isentropic efficiency of 85 percent and a turbine isentropic efficiency of 88 percent, determine: (a) the net power output, (b) the back work ratio, and (c) the thermal efficiency. Use constant specific heats with cv = 0.821 kJ/kg·K, cp = 1.108 kJ/kg·K, and k = 1.35.

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