JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
At \(300\,K\), 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 (used \(\pi=\frac{22}{7}\) )
- A \(32\)
- B \(28\)
- C \(24\)
- D \(27\)
Answer & Solution
Correct Answer
(B) \(28\)
Step-by-step Solution
Detailed explanation
\(\sqrt{\frac{3 RT }{ M }}=\sqrt{\frac{\alpha+5}{\alpha}} \sqrt{\frac{8}{\pi} \frac{ RT }{ M }}\) \(3=\frac{\alpha+5}{\alpha} \frac{8}{\pi}\) \(\alpha=28\)
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