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Question

Question: The r.m.s. speed of gas molecules is given by...

The r.m.s. speed of gas molecules is given by

A

2.5RTM2.5\sqrt{\frac{RT}{M}}

B

1.73RTM1.73\sqrt{\frac{RT}{M}}

C

2.5MRT2.5\sqrt{\frac{M}{RT}}

D

1.73MRT1.73\sqrt{\frac{M}{RT}}

Answer

1.73RTM1.73\sqrt{\frac{RT}{M}}

Explanation

Solution

vrms=3RTM=3RTM=1.73RTMv_{rms} = \sqrt{\frac{3RT}{M}} = \sqrt{3}\sqrt{\frac{RT}{M}} = 1.73\sqrt{\frac{RT}{M}}