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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2011

  • question_answer
    A balloon contains\[500\text{ }{{m}^{3}}\]of helium at\[27{}^\circ C\]and 1 atmosphere pressure. The volume of the helium at\[-3{}^\circ C\]temperature and 0.5 atmosphere pressure will be

    A)  \[500\,{{m}^{3}}\]

    B)  \[700\,{{m}^{3}}\]

    C)  \[900\,{{m}^{3}}\] 

    D)  \[1000\,{{m}^{3}}\]

    Correct Answer: C

    Solution :

     \[\frac{{{p}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{p}_{2}}{{V}_{2}}}{{{T}_{2}}}\] \[\frac{1\times 500}{273+27}=\frac{0.5\times V}{273-3}\] \[V=\frac{2\times 270\times 500}{300}\] \[V=900\,{{m}^{3}}\]


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