Q. No.A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of the average rotational kinetic energy per O2 molecule to that per N2 molecule is:
1. 1: 1
2. 1: 2
3. 2: 1
4. Depends on the moments of inertia of the two molecules
A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglecting effect of gravity, pressure in the compartment is:
1. same everywhere
2. lower in the front
3. lower in the rear side
4. lower in the upper side
Diatomic molecules like hydrogen have energies due to both translational as well as rotational motion. From the equation in kinetic theory , E is:
1. the total energy per unit volume.
2. only the translational part of energy because rotational energy is very small compared to the translational energy.
3. only the translational part of the energy because during collisions with the wall, pressure relates to change in linear momentum.
4. the translational part of the energy because rotational energies of molecules can be of either sign and is average over all the molecules is zero.
When an ideal gas is compressed adiabatically, its temperature rises and thus, the molecules on the average have more kinetic energy than before. The kinetic energy
increases:
1. because of collisions with moving parts of the wall only.
2. because of collisions with the entire wall.
3. because the molecules gets accelerated in their motion inside the volume.
4. because of redistribution of energy amongst the molecules.
A jar has a mixture of hydrogen and oxygen gases in the ratio of 1: 5. The ratio of mean kinetic energies of hydrogen and oxygen molecules is:
1. 1: 16
2. 1: 4
3. 1: 5
4. 1: 1
Heat is associated with:
| 1. | kinetic energy of random motion of molecules. |
| 2. | kinetic energy of orderly motion of molecules. |
| 3. | total kinetic energy of random and orderly motion of molecules. |
| 4. | kinetic energy of random motion in some cases and kinetic energy of orderly motion in other cases. |
| (a) | obeys Maxwell’s distribution. |
| (b) | have the same value for all molecules. |
| (c) | equals the translational kinetic energy for each molecule. |
| (d) | is \(\frac{2}{3}\text{rd}\) the translational kinetic energy for each molecule. |
| 1. | (a), (b) | 2. | (a), (d) |
| 3. | (c), (d) | 4. | (a), (c) |
Which of the following diagrams (figure) depicts ideal gas behaviour?
| 1. | (a), (c) | 2. | (a), (d) |
| 3. | (c), (d) | 4. | (a), (b) |
A cubic vessel (with faces horizontal \(+\) vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of \(500~\text{ms}^{-1}\) in the vertical direction. The pressure of the gas inside the vessel as observed by us on the ground:
| 1. | remains the same because \(500~\text{ms}^{-1}\) is very much smaller than \(v_\text{rms}\) of the gas. |
| 2. | remains the same because the motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls. |
| 3. | will increase by a factor equal to \(\left(\dfrac{v_\text{rms}^2+(500)^2}{v_\text{rms}^2}\right) \) where \(v_\text{rms}^2\) was the original mean square velocity of the gas. |
| 4. | will be different on the top wall and bottom wall of the vessel. |
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