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NEET Sample Paper NEET Sample Test Paper-49

  • question_answer
    Two mole of an ideal gas is expanded irreversibly and isothermally at \[37{}^\circ C\] until its volume is doubled and 3.41 kJ heat is absorbed from surrounding \[\Delta {{G}_{total}}\] is-

    A) -0.52 J/K                      

    B) 0.52 J/K

    C) 22.52 J/K                      

    D) 0

    Correct Answer: B

    Solution :

    \[\Delta {{S}_{total}}\,\,=\,\,\Delta {{S}_{sys}}+\Delta {{S}_{sur}}\] \[\Delta {{S}_{sys}}=2.303nR\,\,log{{\,}_{10}}\,\frac{{{V}_{2}}}{{{V}_{1}}}\] \[=\text{ }2.303\,\,\times \,\,2\,\,\times \,\,8.314\,\,\times \,\,log\text{ }2\] \[=0.693\times 2\times 8.314\] \[=\,\,11.52\,J/K\] \[\Delta {{S}_{sur}}\,\,=\,\,-\frac{3.41\times 1000}{310K}\,=\,-11\,J/K\] \[\Delta {{S}_{total}}\,\,=\,\,11.52-11=0.52\,\,J/K\]


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