Consider an air$-$standard Otto cycle, with the beginning of the compression process having the following parameters, $p_1=\frac{1}{b}ar,T_1=290K,V_1=400c{m}^3.$ The maximum temperature in the cycle is $2200$ K and the compression ratio is $8.$ Determine $($a$)$ the heat addition, in J$,($b$)$ the net work, in J$,($c$)$ the thermal efficiency, and $($d$)$ the mean effective pressure, in kPa $.$