POWER PLANT DESIGN PROBLEMS

Please answer the following questions and show solutions completely. Thanks!

$7.)$ Calculate the mass flow rate of air in pound per minute if the net power of an

air$-$standard Brayton cycle is $700$ HP$.$ The air enters the compressor at $70$ degrees

Fahrenheit and leaves the high$-$temperature heat exchanger at $700$ degrees

Fahrenheit. The air then leaves the turbine at $470$ degrees Fahrenheit.

$8.)$ Determine the mean effective pressure at the turbine of an air$-$standard

Brayton cycle in bar that receives ait at $800$ cubic meter per minutes at standard

atmospheric pressure and $28$ degrees Celsius. The compression ratio is $4\mathrm{.}8$ with

a turbine inlet temperature of $480$ degrees Celsius. The exit pressure of the

turbine is $14\mathrm{.}7$ psi.

$10.)$ A liquid dominated geothermal plant with a single flash separator receives

water at triple of its boiling point. The separator pressure is $1,300$ kpa. A direct

contact condenser operates at $0\mathrm{.}3$ bar. The turbine has efficiency of $83\%.$

Determine the mass flow rate of the well$-$water in lb$/$min for a cycle output of

$130,000HP.$