Question

The rms speed of a large number of molecules of a gas in a vessel is 600 m s-1. If 25% of the gas leaks out at constant temperature, then rms speed of the remaining molecules will be
A) 450 m s-1
B) 800 m s-1
C) 300 m s-1
D) 600 m s-1​

Answer 1

The rms speed of the remaining molecules will be 600 ms⁻¹

Therefore, option (D) is correct.

Explanation:

Given:

The rms speed of large number of molecules of a gas in a vessel is 600 m/s

25% of the gas leaks out at constant temperature

To find out:

The rms speed of the remaining molecules

Solution:

The formula for rms speed is

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

Where T is temperature, M is molecular weight and R is gas constant

Clearly, the rms speed does not deped on the number of moles of the gas

Thus, even of the 25% of the gas leaks out, the rms speed will be the same

Therefore, the rms speed of the remaining molecules will be 600 m/s

Hope this answer is helpful.

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Q: The rms speed of a large number of molecules of a gas in a vessel is 600 m s-1. If 25% of the gas leaks out at constant temperature, then rms speed of the remaining molecules will be:

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