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Manipal Medical Manipal Medical Solved Paper-2012

  • question_answer
    An ideal monoatomic gas is taken thorough the theromodynamic states\[A\to B\to C\to D\]via the paths shown in the figure. If\[{{U}_{A}},{{U}_{B}},{{U}_{C}}\] and\[{{U}_{D}}\]represent the internal energy of the gas in states A, B, C and D respectively, then which of the following is not true?

    A)  \[{{U}_{A}}={{U}_{D}}\]

    B)  \[{{U}_{B}}<{{U}_{A}}\]

    C)  \[{{U}_{B}}={{U}_{C}}\]

    D)  \[{{U}_{C}}>{{U}_{D}}\]

    Correct Answer: B

    Solution :

     Internal energy of a gas \[U=\frac{3}{2}nRT\] where, R is constant. Thus, for a given number of moles of the same gas \[U\propto T\] From the graphs, we conclude that \[{{U}_{A}}={{U}_{D}}\] \[{{U}_{B}}={{U}_{C}}\] \[{{U}_{B}}>{{U}_{A}}\] \[{{U}_{C}}>{{U}_{D}}\]


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