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

At room temperature, the r.m.s. 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

vrms=3RTMv_{rms} = \sqrt{\frac{3RT}{M}}Ž M=3RTvrms2M = \frac{3RT}{v_{rms}^{2}}\ M=3×8.3×300(1920)2M = \frac{3 \times 8.3 \times 300}{(1920)^{2}}

=2×103kg=2gm= 2 \times 10^{- 3}kg = 2gm Ž Gas is hydrogen.