Question

The r.m.s. velocity of H, molecules is 1200
m/s. What would be the r.m.s. velocity of 02
molecules at the same temperature?​

Answer 1

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Answer 2

Answer:

R.M.s velocity of Oxygen gas is 300m/s.

Explanation:

R.M.S velocity of the gas refers to root mean squared velocity of a gas. This velocity  is the average of square of the velocities of all the gas molecules under observation.

The relation to find R.M.S velocity of a gas is

$V_{rms}=\sqrt{\frac{3RT}{M} }$

$V_{rms}$ for hydrogen gas molecules is given as 1200 m/s.

Molar mass of H₂ molecules=$2*10^{-3} kg$

Molar mass of H₂ molecules=$32*10^{-3} kg$

Since temperature of both the gases is same

$\frac{V_{rms}(H_{2} ) }{V_{rms}(O_{2})} =\sqrt{\frac{M_{O_{2} } }{M_{H_{2}} }$

$\frac{V_{rms}(H_{2} ) }{V_{rms}(O_{2})} =\sqrt{\frac{32}{2} }=4$

$V_{rms}(O_{2} )= \frac{V_{rms}(H_{2})}{4}$

=1200/4

=300m/s

R.M.s velocity of Oxygen gas is 300m/s.