The compression ratio of an engine operating according to the Atkinson principle with an initial compression pressure of $1\mathrm{.}05$ Bar and a temperature of $22\backslash$deg C is $8\mathrm{.}50$ and detonation ratio is $1\mathrm{.}86$ under this operating condition. The intake valve closes $67$ mm before top dead center. Since the stroke of this engine is $72$ mm$,$ find the pressure and temperature of the corner points of the cycle, the thermal efficiency and average indicated pressure of the cycle, and the power produced by the engine with a total volume of $1400$ cc at $2800$ rpm$.$ What will be the power and pressure produced by this engine at $3200$ rpm when it returns to the Otto cycle? $($Adiabatic exponent coefficient will be accepted as $1\mathrm{.}41.)$