Gasoline contains predominately octane (the "octane" value quoted on the pump is approximately equal to the percent of octane in the gasoline). Octane has an autoignition temperature of 417 degree C. In the isentropic compression portion of the Otto cycle, the point is to get the air-fuel mixture hot without exceeding the autoignition temperature for the fuel. Estimate the upper limit on the compression ratio in this cycle such that the autoingition temperature is not exceeded in state 2 (just prior to spark ignition). You may assume the incoming air-fuel mixture is an ideal gas that has a gamma value of 1.4 (constant) and a temperature of 25 degree C.