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Question: At room temperature, the rms speed of the molecules of certain diatomic gas is found to be 1930 m/s....

At room temperature, the rms speed of the molecules of certain diatomic gas is found to be 1930 m/s. The gas is

A

H2H_{2}

B

F2F_{2}

C

O2O_{2}

D

Cl2Cl_{2}

Answer

H2H_{2}

Explanation

Solution

Root means square velocity vrms=3RTM=1930m⥂/⥂sv_{rms} = \sqrt{\frac{3RT}{M}} = 1930m ⥂ / ⥂ s (given)

∴ M=3RT(1930)2=3×8.31×3001930×1930=2×10−3kg=2gmM = \frac{3RT}{(1930)^{2}} = \frac{3 \times 8.31 \times 300}{1930 \times 1930} = 2 \times 10^{- 3}kg = 2gm i.e. the gas is hydrogen.