If the rms speed of oxygen molecules at 0°C is 160 m/s, find the rms speed of hydrogen molecules at 0°C.

Option 1 - 332 m/s

Option 2 - 640 m/s

Option 3 - 40 m/s

Option 4 - 80 m/s

2 Views|Posted 6 months ago

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Alok Kumar Singh | Contributor-Level 10

6 months ago

Correct Option - 2

Detailed Solution:

$\frac{{(v_{r m s})}_{O_{2}}}{(v_{r m s}) H_{2}} = \sqrt[]{\frac{M_{H_{2}}}{M_{O_{2}}}} = \sqrt[]{\frac{2}{32}}$

$\Rightarrow {(v_{r m s})}_{H_{2}} = 4 * {(v_{r m s})}_{O_{2}} = 4 * 160 = 640 m / s$

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