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  4. Two gases are at absolute temperatures 300 K and 350 K respectively. The ratio of average kinetic energy of their molecules is

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Q. Two gases are at absolute temperatures 300 K and 350 K respectively. The ratio of average kinetic energy of their molecules is

CMC MedicalCMC Medical 2007

Solution:

From the relation, $ \overline{KE}=\frac{3}{2}kT $ $ \Rightarrow $ $ \frac{{{(\overline{KE})}_{1}}}{{{(\overline{KE})}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}} $ Given : $ {{T}_{1}}=300K,\, $ $ {{T}_{2}}=350K $ $ \Rightarrow $ $ \frac{{{(\overline{KE})}_{1}}}{{{(\overline{KE})}_{2}}}=\frac{300}{350}=\frac{6}{7} $