A four$-$cylinder, four$-$stroke internal combustion engine has a bore of $3\mathrm{.}7$ in$.$ and a stroke of $3\mathrm{.}4$ in$.$ The clearance volume is $16\%$ of the cylinder volume at bottom dead center and the crankshaft rotates at $2400$ RPM$.$ The processes within each cylinder are modeled as an air$-$standard Otto cycle with a pressure of $14\mathrm{.}5$ lbf$/$in$\mathrm{.}2$ and a temperature of $60$F at the beginning of compression. The maximum temperature in the cycle is $5200$R$.$ Based on this model, calculate the net work per cycle, in Btu.