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

  • question_answer
    In a closed vessel, pressure increases by 0.4% when temperature increases by\[1{}^\circ C\]. What is the initial temperature?

    A) 250 K

    B) \[250{}^\circ C\]

    C) 25 K

    D) \[25{}^\circ C\]

    Correct Answer: A

    Solution :

    [a] As \[\frac{p}{T}=\] constant
    \[\frac{\Delta p}{p}=\frac{\Delta T}{T}\]
    \[T=\,p\frac{\Delta T}{\Delta p}=\,\frac{\Delta T}{(\Delta p/p)}\]
    \[=\frac{1}{0.4/100}\,=\,250K.\]


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