A basic gas turbine engine operates under the conditions given.

$p_1=14\mathrm{.}7a,T_1=51\mathrm{.}9R$

$p_2=176\mathrm{.}0a,$

$p_3=172\mathrm{.}0a,T_3=2160R$

$p_4=15\mathrm{.}0a,$

${}_c=82\%,{}_t=85\%$

The fuel used is liquid $C_8{H}_{18}$ supplied at $537R.$

$($a$)$ Determine the fuel$-$air ratio for this engine.

$($b$)$ Determine the percent excess air supplied.

$($c$)$ Determine how many pounds of air must be supplied to the compressor,

pounds per second, for this engine to produce $10,000kW$ of power $($net

power$).$

$($d$)$ Determine, for this engine, the heat rate, which is the heat added in Btu

per hour divided by the power output in kilowatts. Base the heat input on

the lower heating value of the fuel.