JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
The rms speed of oxygen molecule in a vessel at particular temperature is \(\left(1+\frac{5}{x}\right)^{\frac{1}{2}} v\), where \(v\) is the average speed of the molecule. The value of \(x\) will be:(Take \(\pi=\frac{22}{7}\) )
- A \(28\)
- B \(27\)
- C \(8\)
- D \(4\)
Answer & Solution
Correct Answer
(A) \(28\)
Step-by-step Solution
Detailed explanation
\(\sqrt{\frac{3 RT }{ M }}=\left(1+\frac{5}{ x }\right)^{\frac{1}{2}} \sqrt{\frac{8 RT }{\pi M }}\) \(\Rightarrow \frac{3 \times 22}{7 \times 8}=1+\frac{5}{ x }\) \(\Rightarrow x =28\)
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