An ideal gas is confined in a closed container and slowly heated. As the temperature rises, which of the following statements are correct?
(A) | The mean free path of gas molecules decreases. |
(B) | The mean collision time between the molecules decreases. |
(C) | The mean free path remains unchanged. |
(D) | The mean collision time remains unchanged. |
1. | (C) and (D) only |
2. | (A) and (B) only |
3. | (A) and (D) only |
4. | (B) and (C) only |
If the ratio of the number density per cm3 of the two gases is \(5:3\) and the ratio of the diameters of the molecules of the two gases is \(4:5,\) then, the ratio of the mean free path of molecules of two gases is:
1. | \(\dfrac{16}{15}\) | 2. | \(\dfrac{15}{16}\) |
3. | \(\dfrac{3}{4}\) | 4. | \(\dfrac{4}{3}\) |
(A) | the motion of the gas molecules freezes at \(0^\circ\text C.\) |
(B) | the mean free path of gas molecules decreases if the density of molecules is increased. |
(C) | the mean free path of gas molecules increases if the temperature is increased keeping the pressure constant. |
(D) | \(\dfrac32k_B T\) (for monoatomic gases). | average kinetic energy per molecule per degree of freedom is
1. | (A) and (C) only |
2. | (B) and (C) only |
3. | (A) and (B) only |
4. | (C) and (D) only |