## Related questions with answers

A stationary gas-turbine power plant operates on an ideal regenerative Brayton cycle ($\epsilon$=100 percent) with air as the working fluid. Air enters the compressor at 95kPa and 290K and the turbine at 880kPa and 1100K. Heat is transferred to air from an external source at a rate of 30,000kJ/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

VerifiedThe problem gives a gas turbine power plant with the following parameters:

$\begin{aligned} P_1&=95\text{ kPa}\hspace{2cm}&T_1&=290\text{ K}\\ P_3&=880\text{ kPa}\hspace{2cm}&T_3&=1100\text{ K}\\ \dot Q_{in}&=30000\text{ kJ/s}&\epsilon&=1 \end{aligned}$

We are required to solve for the $\dot W_{net}$ under:

$a)$ Constant specific heat parameters

$b)$ Variable specific heat parameters

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