JEE Main & Advanced Physics Thermodynamical Processes Question Bank Topic Test - Thermodynamical Processes

  • question_answer
    For a certain process the molar heat capacity of an ideal gas is found to be \[\left( {{C}_{v}}+\frac{R}{2} \right).\] For the given process it can be concluded that

    A) PV = constant

    B) \[\frac{P}{V}=\] constant

    C) \[\frac{{{V}^{2}}}{P}=\] constant

    D) none of these

    Correct Answer: B

    Solution :

    [b]\[\int_{{}}^{{}}{Pdv}=\int\limits_{{{v}_{1}}}^{{{v}_{2}}}{\frac{Vdv}{\text{cons}\,\text{tant}}}\] for P/V = constant \[=\frac{R}{2}({{T}_{2}}-{{T}_{1}})\]

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