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NEET Sample Paper NEET Sample Test Paper-48

  • question_answer
    One mole of an ideal monoatomic gas undergoes a process described by the equation \[{{\operatorname{PV}}^{3}} =\]constant. The heat capacity of the gas during this process is:

    A) R         

    B) \[\frac{3R}{2}\]   

    C) \[\frac{5R}{2}\]                        

    D) 2R

    Correct Answer: A

    Solution :

    \[{{\operatorname{PV}}^{3}} = constant\] \[\operatorname{C}={{C}_{v}}+\frac{R}{1-x}\] \[\operatorname{x}=3\] \[\operatorname{C}=\frac{3}{2}R+\frac{R}{1-3}\therefore {{\operatorname{C}}_{v}}=\frac{3}{2}R\] for monoatomic \[\operatorname{C}=\frac{3R}{2}-\frac{R}{2}\] \[\operatorname{C}=R\]


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