In a diesel engine combustion occurs in a constant$-$pressure process. If the pressure is $4\mathrm{.}5$ MPa and the temperature before and after combustion are $800$ k and $2500$ k$,$ respectively. Assuming the air and fuel mixture before and after combustion as an ideal gas, determine:a$)$ Work per unit of massb$)$ Heat transfer per unit of massc$)$ entropy produced per unit of mass if the cylinder wall has a uniform temperature of $400$ k and $10\%$ of the heat generated during combustion is lost through the cylinder wall.R$=0\mathrm{.}287$ kJ$/$kg$.$k$,$ Cp$=1\mathrm{.}005$ kJ$/$kg$.$k