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  1. 1m³ of an ideal gas at 500 K and 1000 kPa expands reversibly to 5 times its initial volume in an insulated container. If the specific heat capacity (at constant pressure) of the gas is 21 J/mole . K, the final temperature will be

  2. A.

     35 K

    B.

     174 K

    C.

     274 K

    D.

     154 K

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    Answer : Option C

    Explanation :

    Insulated cylinder ⇒   adiabatic system
    ⇒PVγ=CONSTANT⇒TVγ−1=CONSTANT⇒T1T2=V2γ−1V1⇒500T2=(5)γ−1CP−CV=R(For ideal gas)⇒γ=1.65So, T2=176.05K


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