JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
    A diatomic gas initially at 18°C is compressed adiabatically to one-eighth of its original volume. The temperature after compression will be [Pb. PET 1995; CBSE PMT 1996; CPMT 1999]

    A)            \[{{10}^{o}}C\]                    

    B)            \[{{887}^{o}}C\]

    C)            \[668K\]                                 

    D)            \[{{144}^{o}}C\]

    Correct Answer: C

    Solution :

                       \[T{{V}^{\gamma -1}}=\]constant            \[\Rightarrow {{T}_{2}}={{T}_{1}}{{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma -1}}=(273+18)\ {{\left( \frac{V}{V/8} \right)}^{0.4}}=668K\]


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