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A diesel engine's piston compress 16cm3rd of fuel air mixture into 1cm3 The pressure changes from a atmosphere to 48 atmospheres if the initial temp. of the gas was 305k What was the final temerature

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    They tell you both the pressure ratio (P2/P1 = 48) and the volume ratio (V1/V2 = 16), so you don't have to make any assumptions about whether the compression is adiabatic, or what the specific heat ratio (gamma) is. Just use the perfect gas relationship
    P V/T = constant
    This means that
    T2/T1 = (P2/P1)(V2/V1) = 48/16 = 3
    T2 = 915 K (before ignition)

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