BHU PMT BHU PMT (Mains) Solved Paper-2011

  • question_answer

    Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:

    \[{{C}_{V}}\]and\[{{C}_{P}}\]denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then, (1)\[{{C}_{V}}-{{C}_{P}}\]larger for a diatomic ideal gas than for a monoatomic ideal gas (2)\[{{C}_{P}}+{{C}_{V}}\]is larger for a diatomic ideal gas than for a monoatomic ideal gas (3)\[\frac{{{C}_{P}}}{{{C}_{V}}}\]is larger for a diatomic ideal gas than for a monoatomic ideal gas (4)\[{{C}_{P}}.{{C}_{V}}\]is larger for a diatomic ideal gas than for a monoatomic ideal gas

    A)   1, 2 and 3 are correct

    B)  1 and 2 are correct

    C)   2 and 4 are correct

    D)  1 and 3 are correct

    Correct Answer: C

    Solution :

                     For monoatomic gas, \[{{C}_{p}}=\frac{5}{2}R\]and \[{{C}_{V}}=\frac{3}{2}R\] For diatomic gas, \[{{C}_{P}}=\frac{7}{2}R\]and \[{{C}_{V}}=\frac{5}{2}R\]


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