JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Self Evaluation Test - Kinetic Theory

  • question_answer
    A balloon contains \[1500\text{ }{{m}^{3}}\] of helium at \[27{}^\circ C\]and 4 atmospheric pressure. The volume of helium at \[-3{}^\circ C\] temperature and 2 atmospheric pressure will,

    A) \[1500{{m}^{3}}~\]               

    B) \[~1700{{m}^{3}}\]

    C) \[1900{{m}^{3}}\]          

    D)        \[~2700{{m}^{3}}\]

    Correct Answer: D

    Solution :

    [d] \[\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\] \[\therefore {{V}_{2}}=\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{2}}}\times \frac{{{T}_{2}}}{{{P}_{2}}}=\frac{4\times 1500\times 270}{300\times 2}=2700{{m}^{3}}\]


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