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KVPY Sample Paper KVPY Stream-SX Model Paper-2

  • question_answer
    A certain mass of gas undergoes a process given by \[dU=\frac{dW}{2}.\] If the molar heat capacity of the gas for this process is \[\frac{15}{2}R,\] then the gas is:

    A) Monoatomic                  

    B) polyatomic

    C) Diatomic                       

    D) data insufficient

    Correct Answer: C

    Solution :

    [C]
    \[dU=\frac{dW}{2}\]
    By 1st law \[\to dQ=3dU=3n{{C}_{\text{v}}}dT\]
    Molar heat capacity \[C=\frac{dQ}{ndT}=3{{C}_{\text{v}}}\]
    Given \[C=\frac{15R}{2}\]
    \[\therefore {{C}_{\text{v}}}=\frac{5}{2}R\]
    \[\therefore \]Degree of freedom =5
    so gas is diatomic.


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