Consider a petrol engine with a volumetric airflow of $1.1N$ litres/second for $N \le 50$ and 55 litres/second for $N > 50$ ($N$ is the engine speed in rev/s), a swept volume of 1.6 litres and a compression ratio of 10. The fuel takes 0.01 seconds to completely combust, and during this time the heat addition is $Q_{in} = 200t$ kJ, where $t$ is the time in seconds since ignition. The gases are discharged through the exhaust valve halfway through the cycle, at which point any unburnt air/fuel mixture is no longer able to supply heat to the engine. As in the lecture, take one cycle per revolution (cycle time $1/N$) and $\gamma = 1.4$.