Adiabatic changes of state. Final T

Question

In diesel engines, the ignition temperature is reached by compressing the diesel/air mixture in the piston (self-ignition). The mixture, whose pressure initially corresponds to the normal pressure of p1 = 1013 hPa and whose temperature is T1 = 308 K, is compressed to a final pressure of p2 = 4.4 MPa. What is the final temperature T2 if adiabatic compression can be assumed. The adiabatic coefficient of air is κ(Air) = 1.4.

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Answer 1

Hello Maya;

T₂=T₁⋅(p₂/p₁​)^{(κ−1)​/k}

T₂ = 308 . (4400/1013)^{(1.4-1.0)/1/4}

T₂ = 2143.608K ~ 2144 K