Statement

Liquid octane $(C8H18)$ at $25C,1$atm and a mass flow rate of $0\mathrm{.}57k\frac{g}{h}$ enters an internal

combustion engine operating at steady state. The fuel burns with air entering the engine in

a separate stream at $25C,1$atm. Combustion products exit at $670K,1$atm with a dry

molar analysis of $11\mathrm{.}4\%CO2,2\mathrm{.}9\%CO,1\mathrm{.}6\%O2,$ and $84\mathrm{.}1\%N2.$ The engine develops

power at the rate of $3$ kW $.$

Determine

$($a$)$ the balanced reaction equation.

$($b$)$ the rate of heat transfer from the engine, in kW$.$

$($c$)$ an exergetic efficiency for the engine.

Use the environment of Table A$-26($Model II$)$

$\backslash$table$[[$Standard Molar Chemical Exergy, ${?}^{ch}(k\frac{J}{k}$mol$),$ of Selected Substances at $298$ K and,Model I ${?}^a,$Model $|$l ${?}^b$and neglect the effects of motion and gravity.