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JEE Main & Advanced Physics Thermodynamical Processes JEE PYQ-Thermodynamical Processes

  • question_answer
    When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by \[\Delta T.\]The heat required to produce the same change in temperature, at a constant pressure is : [JEE Main 10-4-2019 Afternoon]

    A) \[\frac{7}{5}Q\]

    B)      \[\frac{3}{2}Q\]

    C) \[\frac{5}{3}Q\]            

    D)      \[\frac{2}{3}Q\]

    Correct Answer: A

    Solution :

    [a] \[Q=n{{C}_{\text{v}}}\Delta T\]
                \[Q'=n{{C}_{p}}\Delta T\]
                \[\therefore \]\[\frac{Q'}{Q}=\frac{{{C}_{p}}}{{{C}_{\text{v}}}}\]
    For diatomic gas:\[\frac{{{C}_{p}}}{{{C}_{\text{v}}}}=\gamma =\frac{7}{5}\]
    \[Q'=\frac{7}{5}Q\]


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