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

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

A

H2

B

F2

C

O2

D

C

Answer

H2

Explanation

Solution

Vrms=3RTMV_{rms} = \sqrt{\frac{3RT}{M}}

M=3RTVrms2=3x8.31x300(1.930)2=2.0078x103kg=2.00gm\therefore M = \frac{3RT}{{V_{rms}}^{2}} = \frac{3x8.31x300}{(1.930)^{2}} = 2.0078x10^{- 3}kg = 2.00gm

Hence (1) is correct.