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JEE Main & Advanced AIEEE Solved Paper-2011

  • question_answer
    The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a volume of \[10\,d{{m}^{3}}\] at \[{{27}^{o}}C\] is to a volume of \[100\,d{{m}^{3}}\]   AIEEE  Solved  Paper-2011

    A) \[42.3\] J \[mo{{l}^{-1}}\] \[{{K}^{-1}}\]    

    B) \[38.3\]J \[mo{{l}^{-1}}\] \[{{K}^{-1}}\]

    C) \[35.8\] J \[mo{{l}^{-1}}\] \[{{K}^{-1}}\]    

    D) \[32.3\] J \[mo{{l}^{-1}}\] \[{{K}^{-1}}\]

    Correct Answer: B

    Solution :

                 \[\Delta S=nR\,In\frac{{{V}_{2}}}{{{V}_{1}}}\] \[\Delta S=2.303\times 2\times 8.314\,\log \frac{100}{10}\] \[\Delta S=38.3\,J/mol/K\]


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