AP EAMCET · PHYSICS · Kinetic Theory of Gases
If the rms speed of the molecules of a diatomic gas at a temperature of 322 K is \(2000 \mathrm{~m} \mathrm{~s}^{-1}\), then the gas is
- A hydrogen
- B nitrogen
- C oxygen
- D chlorine
Answer & Solution
Correct Answer
(A) hydrogen
Step-by-step Solution
Detailed explanation
\( M = \frac{3RT}{v_{rms}^2} \) \( M = \frac{3 \times 8.314 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1} \times 322 \mathrm{~K}}{(2000 \mathrm{~m} \mathrm{~s}^{-1})^2} \) \( M \approx 0.002008 \mathrm{~kg} \mathrm{~mol}^{-1} \approx 2.008 \mathrm{~g} \mathrm{~mol}^{-1} \) The…
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