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JEE Main & Advanced AIEEE Solved Paper-2013

  • question_answer
    A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of\[37.0{}^\circ C.\] As it does so, it absorbs 208 J of heat. The values of q and w for the process will be: \[(R=8.314\text{ }J/mol\text{ }K)\text{ }(ln\text{ }7.5=2.01)\]     AIEEE Solevd Paper-2013

    A) \[q=+208\text{ }J,\text{ }w=-208\text{ }J\]

    B) \[q=-208\text{ }J,\text{ }w=-208\text{ }J\]

    C) \[q=-208\text{ }J\text{ },\text{ }w=+208\text{ }J\]

    D) \[q=+208\text{ }J\text{ },\text{ }w=+208\text{ }J\]

    Correct Answer: A

    Solution :

    \[q=+208\text{ }J\] (as it absorb heat) \[{{w}_{\operatorname{Re}w}}=-2.303\text{ }nRT\text{ }{{\log }_{10}}\left( \frac{{{v}_{2}}}{{{v}_{1}}} \right)\] \[=-2.303\times (0.04)\times 8.314\times (310)\text{ lo}{{\text{g}}_{10}}\left( \frac{375}{50} \right)=-208J\]


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