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NEET Sample Paper NEET Sample Test Paper-71

  • question_answer
    Suppose ideal gas equation follows\[{{\operatorname{VP}}^{3}}=constant\]. Initial temperature and volume of the gas are T and V respectively. If gas expand to 27 V,  then its temperature will become

    A) T                                 

    B) 9T

    C) 27F                              

    D) T/9

    Correct Answer: B

    Solution :

    \[V{{P}^{3}}=constant\,\,=\,\,k\,\,\,\Rightarrow \,\,\,P=\frac{k}{{{V}^{1/3}}}\] Also \[\operatorname{PV}=\mu RT\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\frac{k}{{{V}^{1/3}}}.V=\mu RT\] \[\Rightarrow \,\,\,\,\,\,\,{{V}^{2/3}}=\frac{\mu RT}{k}\] Hence \[{{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{2/3}}=\frac{{{T}_{1}}}{{{T}_{2}}}\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,{{\left( \frac{V}{27V} \right)}^{2/3}}\,=\,\,\frac{T}{{{T}_{2}}}\]


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