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JIPMER Jipmer Medical Solved Paper-1996

  • question_answer
    The equation of a certain gas can be written as \[{{\left( \frac{{{T}^{7}}}{{{P}^{2}}} \right)}^{1/5}}=\]constant. The specific heat at constant volume of this gas is (in J/mol K)

    A)  0.5R                                     

    B)  1.5R                     

    C)  2R                                         

    D)  2.5R

    Correct Answer: A

    Solution :

    Given \[{{\left( \frac{{{T}^{7}}}{{{P}^{2}}} \right)}^{1/5}}=\]constant or            \[{{T}^{7/5}}{{P}^{-2/5}}=\]constant                       ?(1) The standard form of adiabatic equation \[{{T}^{\gamma }}{{P}^{1-\gamma }}=\text{constant}\]                ?(2) Now comparing equation (1) with standard form equation (2), we get \[\gamma =\frac{7}{5}\] the gas is diatomic so, \[{{C}_{v}}=\frac{5}{2}R\]


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