The root mean square speed of gas molecules

The atmosphere on a planet is possible only if [ where v_(rms) is root mean square speed of gas molecules on planet and v_(e) is escape speed on its surface ]

The root mean square speed of the molecules of an enclosed gas is 'v'. What will be the root mean square speed if the pressure is doubled, the temperature remaining the same?

The root mean square speed of the molecules of a diatomic gas is v. When the temperature is doubled, the molecules dissociates into two atoms. The new root mean square speed of the atom is

A closed vessel of fixed volume contains a mass m of an ideal gas, the root mean square speed being v. Additional mass m of the same gas is pumped into the vessel and the pressure rises to 2P, the temperature remaining the same as before. The root mean square speed of the molecules now is :

The ratio of average speed to root mean square speed of the gas molecules is ……………..whereas that between most probable speed to root mean square speed is ……………….

Four molecules of ags have speeds 1,2,3 and 4 km//s .The volue of the root mean square speed of the gas molecules is