Apply your knowledge of the kinetic theory of gases to the following situations.
(a) Two flasks of volumes V1 and V2 (V2. V1) contain the same number of helium atoms at the same temperature.
(i) Compare the root-mean-square (rms) speeds and average kinetic energies of the helium (He) atoms in the flasks.
(ii) Compare the frequency and the force with which the He atoms collide with the walls of their containers.
(b) Equal numbers of He atoms are placed in two flasks of the same volume at temperatures T1 and T2 (T2 > T1).
(i) Compare the rms speeds of the atoms in the two flasks.
(ii) Compare the frequency and the force with which the He atoms collide with the walls of their containers.
(c) Equal numbers of He and neon (Ne) atoms are placed in two flasks of the same volume, and the temperature of both gases is 74°C. Comment on the validity of the following statements:
(i) The rms speed of He is equal to that of Ne.
(ii) The average kinetic energies of the two gases are equal.
(iii) The rms speed of each He atom is 1.47 × 103 m/s.