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  4. A balloon contains 500 text m3 of helium at 27° C and 1 atmosphere pressure. The volume of the helium at -3° C temperature and 0.5 atmosphere pressure will be:

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Q. 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:

JIPMERJIPMER 2001Kinetic Theory

Solution:

Using gas equation law $ \frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}} $ or $ \frac{1\times 500}{300}=\frac{0.5\times {{V}_{2}}}{270} $ $ {{V}_{2}}=900\,{{m}^{3}} $