AP EAMCET · PHYSICS · Kinetic Theory of Gases
The rms speed of oxygen and room temperature is about \(500 \mathrm{~ms}^{-1}\). The rms speed of hydrogen at the same temperature is about
- A \(125 \mathrm{~m} \mathrm{~s}^{-1}\)
- B \(2000 \mathrm{~m} \mathrm{~s}^{-1}\)
- C \(8000 \mathrm{~m} \mathrm{~s}^{-1}\)
- D \(500 \mathrm{~m} \mathrm{~s}^{-1}\)
Answer & Solution
Correct Answer
(B) \(2000 \mathrm{~m} \mathrm{~s}^{-1}\)
Step-by-step Solution
Detailed explanation
We have \(\begin{aligned} & \mathrm{V}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}_0}}, \text { where } \mathrm{M}_0=\text { molecular mass } \\ & \mathrm{V}_{\mathrm{rms}} \propto \frac{1}{\sqrt{\mathrm{M}_0}}\end{aligned}\)…
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