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  • At the rms speed of oxygen molecules is <img alt="\sqrt{\frac{\alpha+5}{\alpha}}" src="

At 300 \mathrm{~K} the rms speed of oxygen molecules is \sqrt{\frac{\alpha+5}{\alpha}} times to that of its average speed in the gas. Then, the value of \alpha will be \left(\text { used }=\frac{22}{7}\right)

Option: 1

28


Option: 2

24


Option: 3

32


Option: 4

27


Answers (1)

\begin{aligned} & \sqrt{\frac{3 R T}{M}}=\sqrt{\frac{\alpha+5}{\alpha}} \sqrt{\frac{8}{\pi} \frac{R T}{M}} \\ & 3=\left(\frac{\alpha+5}{\alpha}\right)\left(\frac{8}{\pi}\right) \\ & \alpha=28 \end{aligned}

Posted by

Sumit Saini

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