Question

Which of the following has maximum RMS velocity at the same temperature?
a) So2
b) Co2
c) O2
d) H2

Answer 1

 H2 has the maximum RMS velocity.

Answer 2

$H_2$ has maximum RMS velocity at same temperature.

Explanation:

The RMS velocity of an element/compound is inversely proportional to square root of molar mass. The compound with the lowest mass has a maximum RMS velocity.

RMS velocity of a gas

$V_{r m s}=\sqrt{\frac{3 R T}{M}}$

Where,

Gas constant (R) $=8.813 \frac{1}{\kappa m o l}$

T is the temperature in kelvin at which velocity is measured [NOTE: higher the temperature is higher kinetic energy]

M - The molecular mass in Kg of the gas taken.

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