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AMU Medical AMU Solved Paper-2012

  • question_answer
    100 mol of an ideal gas is heated from 10 to \[{{20}^{o}}C\] keeping its volume constant pressure constant. Let \[\Delta {{U}_{a}}\] and \[\Delta {{U}_{b}}\] denote the change in the internal energy of the gas due to process  and  respectively. Then which of the following shall be true?

    A)  \[\Delta {{U}_{a}}=\Delta {{U}_{b}}\]                    

    B)  \[\Delta {{U}_{a}}>\Delta {{U}_{b}}\]

    C)  \[\Delta {{U}_{a}}<\Delta {{U}_{b}}\]                    

    D)  \[\Delta {{U}_{a}}=\Delta {{U}_{b}}=0\]

    Correct Answer: B

    Solution :

                    (i) Volume is constant \[i.\,e.,\]              \[\Delta V=0\]                 \[\Delta U=Q-p\Delta V\]                 \[\Delta {{U}_{a}}=Q\] (ii) Pressure is constant, i.e.          \[\Delta {{U}_{b}}=Q-p\Delta V\] \[\therefore \]  \[\Delta {{U}_{a}}>\Delta {{U}_{b}}\]


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