Q$1)$ A spark$-$ignition engine has a compression ratio of $10,$ an isentropic compression efficiency of $\backslash (85\backslash \%\backslash )$ and an isentropic expansion efficiency of $\backslash (95\backslash \%\backslash ).$ At the beginning of the compression, the air in the cylinder is at $100$ kPa and $\backslash (17^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The maximum gas temperature is found to be $\backslash (1260^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ by measurement. Determine the heat supplied per unit mass, the thermal efficiency, and the mean effective pressure of this engine when modeled as an Otto cycle. Use constant specific heats at room temperature.