Kinetic Theory ...

On any planet, the presence of atmosphere implies (C_rms = root mean square velocity of molecules and V_e = escape velocity)

In the two vessels of same volume, atomic hydrogen and helium at pressure 1 atm and 2 atm are filled. If temperature of both the samples is same, then average speed of hydrogen atoms < C_H> will be related to thatof helium < C_He> as

At a given temperature the r.m.s velocity of molecules of the gas is

If V_H, V_N and V_O denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then

The speeds of 5 molecules of a gas (in arbitrary units) are as follows : 2, 3, 4, 5, 6 The root mean square speed for these molecules is

At a given temperature the ratio of r.m.s velocities of hydrogen molecule and helium atom will be

If the oxygen (O₂) has root mean square velocity ofC ms^–1, then root mean square velocity of the hydrogen (H₂) will be

To what temperature should the hydrogen at room temperature (27°C) be heated at constant pressure so that the r.m.s. velocity of its molecules becomes double of its previous value

The temperature of an ideal gas is reduced from 927°C to 27°C. The r.m.s velocity of the molecules becomes

The root mean square speed of hydrogen molecules at 300 K is 1930 m/s. Then the root mean square speed of oxygen molecules at 900 K will be