The behaviour of gases has been experessed in terms of various gas laws obtained experimentally Boyle s law Charles law Pressure temperature law Dalton s law of partial pressure Graham's law of diffusion and Avogadro's hypothesis Later on Maxwell derived Kinetic equation `PV = (1)/(3) mnu^(2)` theoretically by assuming the concept of molecules and their motion The term u reprsents root mean square speed of molecule
The root mean square speed of a gas at `300K` is `sqrt3R` The molar mass of gas in `kg mol^(-1)` is .

Options

A. `1`
B. `10`
C. `100`
D. `1,000`

Explanation

`u_(rms) =sqrt((3RT)/(M)), :. 3 xx sqrtR = sqrt((3RT)/(M)) or 9R = (3RT)/(M)`
or `M =(3 xx 300)/(9) =100kgmol^(-1)` .