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  5. Kinetic Theory of Gases

JEE Main & Advanced Physics Kinetic Theory of Gases Sample Paper Topic Test - Kinetic Theory of Gases

  • question_answer
    During an experiment an ideal gas obeys an additional equation of state \[{{P}^{2}}V=\text{constant}\text{.}\] The initial temperature and volume of gas are T and V, respectively. When it expands to volume 2V, then its temperature will be

    A) T

    B) \[\sqrt{2}T\]

    C) 2T

    D) \[2\sqrt{2}T\]

    Correct Answer: B

    Solution :

    [b] \[{{P}^{2}}V=\text{constant;}\] and \[P=\frac{nRT}{V}\]
    \[\therefore \]    \[T\propto \sqrt{V}\]


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