JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        One mole of a perfect gas expands isothermally to ten times of its original volume. The change in entropy is

    A)  0.1 R                                    

    B)  2.303 R

    C)  10.0 R                                  

    D)  100.0 R

    Correct Answer: B

    Solution :

                    \[{{q}_{rev.}}=-{{W}_{rev.}}=2.303\,nRT\log \frac{{{V}_{2}}}{{{V}_{1}}}\] \[\Delta S=\frac{{{q}_{rev.}}}{T}=2.303\,nR\,\log \frac{{{V}_{2}}}{{{V}_{1}}}\] \[n=1\]and\[\frac{{{V}_{2}}}{{{V}_{1}}}=10\] \[\Delta S=2.303\times 1\times R\times \log 10\] \[=2.303\text{ }R\]


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