Haryana PMT Haryana PMT Solved Paper-2008

  • question_answer
    The molar specific heat at constant pressure of an ideal gas is (7/2)R. The ratio of specific heat at constant pressure to that at constant volume is

    A)  7/5                                       

    B)  8/7

    C)  5/7                                       

    D)  9/7

    Correct Answer: A

    Solution :

                    Molar specific heat at constant pressure \[{{C}_{p}}=\frac{7}{2}R\] Mayers relation can be written as                 \[{{C}_{p}}-{{C}_{V}}=R\] \[\Rightarrow \]               \[{{C}_{V}}={{C}_{P}}-R\]                                 \[=\frac{7}{2}R-R=\frac{5}{2}R\] Hence, required ratio is                 \[\gamma =\frac{{{C}_{P}}}{{{C}_{V}}}=\frac{(7/2)R}{(5/2)R}=\frac{7}{5}\]


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