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NEET Sample Paper NEET Sample Test Paper-37

  • question_answer
    An ideal gas goes from state A to state B via three different processes as indicated in the p -V diagram If \[{{Q}_{1}},{{Q}_{2}},{{Q}_{3}}\] indicate the heat absorbed by the gas along the three processes and \[\Delta {{U}_{1}},\] \[\Delta {{U}_{2}},\Delta {{U}_{3}}\]indicate the change in internal energy along the three processes respectively, then

    A)  \[{{Q}_{1}}>{{Q}_{2}}>{{Q}_{3}}\]and\[\Delta {{U}_{1}}=\Delta {{U}_{2}}=\Delta {{U}_{3}}\]

    B) \[{{Q}_{3}}>{{Q}_{2}}>{{Q}_{1}}\]and\[\Delta {{U}_{1}}=\Delta {{U}_{2}}=\Delta {{U}_{3}}\]

    C) \[{{Q}_{1}}={{Q}_{2}}={{Q}_{3}}\]and\[\Delta {{U}_{1}}>\Delta {{U}_{2}}>\Delta {{U}_{3}}\]

    D) \[{{Q}_{3}}={{Q}_{2}}={{Q}_{1}}\]and\[\Delta {{U}_{1}}>\Delta {{U}_{2}}>\Delta {{U}_{3}}\]

    Correct Answer: A

    Solution :

     For all process 1, 2 and 3 \[\Delta U={{U}_{B}}-{{U}_{A}}\]is the same \[\therefore \,\]\[\Delta {{U}_{1}}=\Delta {{U}_{2}}=\Delta {{U}_{3}}\] Now, \[Q=\Delta U+W\] Now,\[W=\]done by the gas \[\therefore \,\] \[{{Q}_{1}}>{{Q}_{2}}={{Q}_{3}}\]


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