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

  • question_answer
    N moles of a diaotmic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monoatomic gas. What is the change in the total kinetic energy of the gas?                                                                                     [JEE Online 09-04-2017]

    A)  0                    

    B)       \[\frac{5}{2}nRT\]

    C)  \[\frac{3}{2}\,nRT\]      

    D)       \[\frac{1}{2}\,nRT\]

    Correct Answer: B

    Solution :

    [d]  \[{{u}_{i}}=N\,\frac{5}{2}RT\]
    \[{{u}_{f}}\,=2n\,\frac{3}{2}\,RT+(N-n)\frac{5}{2}RT\]
    \[=\frac{1}{2}\,nRT\,+\frac{5}{2}\,nRT\]
    \[\Delta u=Q=\frac{1}{2}nRT\]


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