First slide

Molecular velocities

Question

Ratio of RMS velocity of Helium at 1200 K to RMS velocity of Hydrogen at 300 K will be

Moderate

A

2:1
B

1:1
C

2.82:1
D

1.414 : 1

Solution

$\frac{C_{1}}{C_{2}} = \sqrt{\frac{T_{1} M_{2}}{T_{2} M_{1}}}; \frac{C_{He}}{C_{H_{2}}} = \sqrt{\frac{1200 \times 2}{300 \times 4}} = 1.414;$

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