Question 34

Ar and He are both gases at room temperature. The average velocity of He atom is $$x$$ times of average molecular velocity Ar atoms at this temperature. The numerical value of $$x$$ is ___. (atomic wt of Ar = 36, He = 4)


Correct Answer: 3

Solution

At the same temperature the average velocity is inversely proportional to $$\sqrt{M}$$. So $$x = \sqrt{\frac{M_{\text{Ar}}}{M_{\text{He}}}} = \sqrt{\frac{36}{4}} = 3$$.

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