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JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
    The pressure and density of a diatomic gas \[(\gamma =7/5)\] change adiabatically from (P, d) to (P', d'). If \[\frac{d'}{d}=32\], then \[\frac{P'}{P}\] should be [CPMT 1982; EAMCET 2001]

    A)            1/128                                       

    B)            32

    C)            128

    D)            None of the above

    Correct Answer: C

    Solution :

                       Volume of the gas \[V=\frac{m}{d}\]and using \[P{{V}^{\gamma }}\]= constant            We get \[\frac{P'}{P}={{\left( \frac{V}{V'} \right)}^{\gamma }}=\,{{\left( \frac{d'}{d} \right)}^{\gamma }}={{(32)}^{7/5}}=128\]


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