On which factors does the velocity distribution of gas molecules depend?

If the distribution of molecular speeds of a gas is as per the figure shown below,then the ratio of the most probable,the average and the root mean square speeds,respectively,is

If $r_1, r_2$ and $r_3$ represent the most probable speeds of three different gases at the same temperature as shown in the figure,with molar masses $M_1, M_2$ and $M_3$ respectively,what is the correct order of the molar masses of these gases?

$A$ $50 \, L$ container holds $0.5 \, mol$ of $O_2$ gas at $27 \, ^oC$ and $2 \, atm$ pressure. If half of the $O_2$ molecules are removed from the container,what happens to the $rms$ speed of the $O_2$ molecules?

Which of the following gases will have the highest rate of diffusion?

The $r.m.s.$ velocity of a certain gas is $v$ at $300 \ K$. The temperature,at which the $r.m.s.$ velocity becomes double,is ............... $K$.