A) \[\frac{1.21}{1}\]
B) \[\frac{1.46}{1}\]
C) \[\frac{2}{1}\]
D) \[\frac{4}{1}\]
Correct Answer: A
Solution :
According to the kinetic theory of gases, the average velocity of the molecules in the gas is given by the expression \[v=\sqrt{\frac{8RT}{\pi M}}\]where T is the absolute temperature and R is the gas constant. Thus the average velocity can be taken as proportional to the square root of the absolute temperature. Hence the ratio of the average velocity at \[200{}^\circ C\] to that at \[50{}^\circ C\] will be equal to \[\sqrt{\frac{273+200}{273+50}}\]which is
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