KVPY Sample Paper KVPY Stream-SX Model Paper-25

  • question_answer
    Thermal coefficient of volume expansion at constant pressure for an ideal gas sample of n moles having pressure \[{{P}_{0}}\] volume \[{{V}_{0}}\] and temperature \[{{T}_{0}}\] is

    A) \[\frac{R}{{{P}_{0}}{{V}_{0}}}\]

    B) \[\frac{{{P}_{0}}{{V}_{0}}}{R}\]

    C) \[\frac{1}{{{T}_{0}}}\]

    D) \[\frac{1}{n\,{{T}_{0}}}\]

    Correct Answer: C

    Solution :

    \[\gamma =\frac{1}{V}\frac{dV}{dT}\]and         \[\frac{dV}{dT}=\frac{nR}{P}\] \[\gamma =\frac{1}{T}\]
    For given temperature \[{{T}_{0}},\]        \[\gamma =\frac{1}{{{T}_{0}}}\]

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