Consider an ideal Otto cycle with compression ratio $r=6\mathrm{.}5.$ The cycle takes in $0\mathrm{.}002$ kg of air at

$305$ K and $85$ kPa $.$ For a maximum temperature equal to $960$ K $,$ determine:

$($a$)$ the heat addition and heat rejection, in kJ ;

$($b$)$ the net work, in kJ ;

$($c$)$ the thermal efficiency.

$($d$)$ If the cycle is repeated $1,200$ times per minute, calculate the power, in kW $.$