Consider a cylinder of a gasoline engine at the beginning of the compression cyc

Question

Consider a cylinder of a gasoline engine at the beginning of the compression cycle, during which a fuel/air mixture (for our purposes mostly composed of nitrogen and oxygen, i.e. an ideal diatomic gas) at 300 K and 1 bar is compressed down to the 1/10th volume (compression ratio of 10:1).  Assume that the compression is rapid so no heat exchange occurs with the environment.  Calculate the pressure and the temperature of the compressed gas.  In a diesel engine the compression ratios are typically much higher; redo the same calculation for the compression ratio of 20:1.

Explanation / Answer

V1/V2= T1/T2

10= 300/T2

T2=30K

P2=10 bar

at 20 times compression

T= 15K

P=20 bar

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