Question

The rms speed of molecules of a gas in a vessel is 400 m per second if half of the gas leaks out at constant temperature the rms speed of the remaining molecules will be

Answer 1

we know, the formula of RMS velocity . RMS velocity is directly proportional to square root of temperature and inversely proportional to square root of molecular mass of gaseous e.g.,$v_{rms}=\sqrt{\frac{3RT}{M}}$

when gas leaks out at constant temperature , neither molecular mass nor temperature will be change. so, rms speed remains constant.

e.g., the rms speed of remaining molecules will be 400 m/s

Answer 2

Root mean square velocity does not depends on the quantity of gas.
For a given gas and at constant temperature it always remains same