A six$-$liter four$-$stroke race$-$car engine runs stoichiometrically with nitromethane $,$

$M=61k\frac{g}{k}$mol,$LHV=11\mathrm{.}3M\frac{J}{k}g).$ It consumes $200\frac{g}{s}$ of fuel at $6000$ rpm $.$ The gas

constant for the mixture is $R_{\text{m}\text{i}\text{x}}=0\mathrm{.}231k\frac{J}{k}g*K.$ Calculate:

Write the balanced chemical equation for nitromethane $(C{H}_{3}N{O}_2).$

$(4$ marks$)$

The actual air flow rate in $k\frac{g}{s}.$

$(4$ marks$)$

The volumetric efficiency $($for $100$ kPa and $300$ K inlet conditions$).$

$(4)$

The heat added in MW$.$

$(4$ marks$)$