Uttarakhand PMT Uttarakhand PMT Solved Paper-2005

  • question_answer
    One mole of an ideal gas at\[25{}^\circ C\]is subjected to expand reversibly ten times of its initial volume. The change in entropy of expansion is:

    A)  \[12.13J{{K}^{-1}}mo{{l}^{-1}}\]

    B)  \[15.17J{{K}^{-1}}mo{{l}^{-1}}\]

    C)  \[17.15\text{ }J{{K}^{-1}}mo{{l}^{-1}}\]

    D)  \[19.15J{{K}^{-1}}mo{{l}^{-1}}\]

    Correct Answer: D

    Solution :

     \[\Delta S=2.303\text{ }nR\text{ }log\frac{{{V}_{2}}}{{{V}_{1}}}\] Here, \[n=1,\text{ }R=8.314\text{ }J,\text{ }T=25+273=298\text{ }K\] Suppose, \[{{V}_{1}}=V,{{V}_{2}}=10V\] \[\therefore \] \[\Delta S=2.303\times 1\times 8.34\text{ }log\frac{10V}{V}\] \[=9.15JK\,mo{{l}^{-1}}\]


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