First slide

Rms speed

Question

The temperature at which rms velocity of helium molecules is equal to the rms velocity of hydrogen molecules at NTP is

Moderate

A

100 K
B

300 K
C

502 K
D

546 K

Solution

$C = \sqrt{\frac{3 RT}{M}} or T \propto M$
$∴ \frac{T^{'}}{T} = \frac{4}{2} = 2 or T' = 2 T$
or $T = 2 \times 273 K = 546 K$

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