Statement

Propane $($C$3$H$8)$ gas at $25$ C $,1$ atm and a mass flow rate of $0\mathrm{.}67k\frac{g}{m}in$ enters an internal

combustion engine operating at steady state. The fuel burns with air entering at $25C,1$atm

according to

$C_3{H}_8+4\mathrm{.}5[O_2+3\mathrm{.}76N_2]2\mathrm{.}7C{O}_2+0\mathrm{.}3CO+3\mathrm{.}3H_2$

$+0\mathrm{.}7H_2+16\mathrm{.}92N_2$

The combustion products exit at $1000K,1$atm and the rate of energy transfer by heat from

the engine is $100$ kW $.$ For the hydrogen, $cp=29\mathrm{.}5k\frac{J}{k}$mol K$.$ The effects of motion and

gravity can be ignored. Using the environment of Table A$-26($Model II$),$ evaluate an exergetic

efficiency for the engine.