A small gas turbine uses $C_8{H}_{18}($l$)$ for fuel at a rate of $0\mathrm{.}5k\frac{g}{m}in$ and $400\%$ theoretical air.

The air and fuel enter at $25C,$ and the products of combustion leave at $900K.$ The output of

the engine and the fuel consumption is measured, and it is found that $W=456,920K\frac{J}{k}$mol fuel.

Determine

a$.$ Write down the

balanced chemical

reactions for this

process:

b$.$ The heat transfer from

the engine per kilomole

of fuel. Assume

complete combustion.

c$.$ The entropy generation

rate $k\frac{J}{\text{m}\text{i}\text{n}\text{K}},$

d$.$ The exergy destruction

rate $kW,$

e$.$ Does this process violate the second law of thermodynamics?