# Physics

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In a diesel engine, the piston compresses air at 302 K to a volume that is 0.0628 of the original volume and a pressure that is 48.2 times the original pressure. What is the temperature of the air after the compression?

I have no idea can anyone help?

• Physics -

assume that this happens so fast that no heat transfer happens and it is adiabatic compression
assume gamma = 1.40 for diatomic ideal gas
then
T2 = T1 (V1/V2)^(gamma-1) = 913.74 K
P2/P1 = (V1/V2)^gamma = 48.178

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