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NEET Sample Paper NEET Sample Test Paper-42

  • question_answer
    \[\gamma \]represent of ratio of the specific heat of a gas. For a given mass of the gas, the change in internal energy when the volume expands from V to 3V at constant pressure P is: 

    A) \[\frac{3PV}{\gamma -1}\]                     

    B) \[\frac{3PV}{\gamma +1}\]

    C) \[\frac{2PV}{\gamma +1}\]                   

    D) s \[\frac{2PV}{\gamma -1}\]

    Correct Answer: D

    Solution :

    \[\Delta \operatorname{U}=n{{C}_{v}}\Delta \operatorname{T}\] \[\Delta \operatorname{U}=n\frac{\operatorname{R}}{\gamma -1}\left( {{\operatorname{T}}_{2}}-{{T}_{1}} \right)\] \[\Delta \operatorname{U}=\frac{n\operatorname{R}{{\operatorname{T}}_{2}}-n{{\operatorname{RT}}_{1}}}{\gamma -1}\] \[\Delta \operatorname{U}=\frac{{{\operatorname{PV}}_{2}}-P{{V}_{1}}}{\gamma -1}\] \[\Delta \operatorname{U}=\frac{\operatorname{P}\times 3V-P\times V}{\gamma -1}=\frac{2PV}{\gamma -1}\]


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