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AMU Medical AMU Solved Paper-2009

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

    A)  \[{{\text{U}}_{A}}={{U}_{D}}\]                

    B)  \[{{\text{U}}_{B}}={{U}_{A}}\]

    C)  \[{{\text{U}}_{B}}={{U}_{C}}\]                 

    D)  \[{{\text{U}}_{B}}>{{U}_{C}}\]

    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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