$(6$ points$)$ A $5\mathrm{.}7$ L spark$-$ignition engine operates on the ideal Otto cycle with a compression ratio of $6.$ At the beginning of the compression process the air is at $95$ kPa and $\backslash (23^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The maximum cycle temperature is $\backslash (1104^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$

Using the cold$-$air standard assumptions, determine:

the heat addition per cycle kJ

the net work per cycle kJ

the mean effective pressure $($MEP$)$ kPa

the thermal efficiency $\backslash \%$

If the engine operates at $2800$ rpm $,$ what is the power output of the engine? hp