JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at \(47^{\circ} \mathrm{C}\) ?
- A \(80 \mathrm{~K}\)
- B \(-73 \mathrm{~K}\)
- C \(4 \mathrm{~K}\)
- D \(20 \mathrm{~K}\)
Answer & Solution
Correct Answer
(D) \(20 \mathrm{~K}\)
Step-by-step Solution
Detailed explanation
\( \sqrt{\frac{3 R T}{2}}=\sqrt{\frac{3 R(320)}{32}} \) \( T=\frac{320}{16}=20 \mathrm{~K}\)
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