JEE Main & Advanced Sample Paper JEE Main Sample Paper-6

  • question_answer
    1 kg of water at \[0{}^\circ C\] is heated to \[100{}^\circ C\], calculate its change in entropy. \[[{{S}_{water}}=4190J/kg-K]\]

    A)  \[{{10}^{4}}J/K\]                             

    B)  \[1.31\times {{10}^{3}}J/K\]

    C)  \[1.68\times {{10}^{4}}J/K\]      

    D)  \[1.68\times {{10}^{3}}J/K\]

    Correct Answer: B

    Solution :

    \[\Delta S=\int_{{}}^{{}}{\frac{dQ}{T}}=\int_{{{T}_{1}}}^{{{T}_{2}}}{\frac{msdT}{T}}=ms\ln \left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)\] \[=1\times 4190\,\,\ln \,\left( \frac{373}{273} \right)\,\] \[=1.31\times {{10}^{3}}\,\,J/K\]


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