NEET Sample Paper NEET Sample Test Paper-45

  • question_answer
    When one mole of an ideal gas is compressed to half its initial volume and simultaneously heated to twice to its initial temperature, the change in entropy (AS) is -

    A) \[{{C}_{v}}\ln \,2\]                   

    B) \[{{C}_{p}}\,ln\text{ }2\]

    C) \[R\text{ }ln\,2\]                        

    D) \[\left( {{C}_{v}}-R \right)\text{ }ln\text{ }2\]

    Correct Answer: D

    Solution :

    \[\Delta S\,\,=\,\,n{{C}_{v}}\,In\,\,\frac{{{T}_{2}}}{{{T}_{1}}}\,\,+\,\,nR\,\,\,In\,\,\frac{{{V}_{2}}}{{{V}_{1}}}\] \[\Delta S\,\,=\,\,{{C}_{v}}\,In\,2-R\,\,In\,\,2\] \[\Delta S=\left( {{C}_{V}}-R \right)\text{ }In\text{ }2\]


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