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Question

A stationary gas-turbine power plant operates on an ideal regenerative Brayton cycle $(\epsilon=100 \text { percent })$ with air as the working fluid. Air enters the compressor at 95 kPa and 290 K and the turbine at 880 kPa and 1100 K. Heat is transferred to air from an external source at a rate of 30,000 kJ/s. Determine the power delivered by this plant (a ) assuming constant specific heats for air at room temperature and (b ) accounting for the variation of specific heats with temperature.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 13**Given**

- $T_1=290\text{ }K$ ; $P_{1,4}=95\text{ }kPa$
- $T_3=1100\text{ }K$ ; $P_{2,3}=880\text{ }kPa$
- $\epsilon=100\%$
- added heat rate = $30000\text{ }\frac{kJ}{s}$

Ideal Brayton cycle with a regenerator is analyzed. Heat is exchanged between the air that leaves the turbine and the air that leavess the compressor. Calculate temperatures in all stages of the cycle to determine what is required.

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