Q. No.In a diatomic molecule, the rotational energy at a given temperature:
| (a) | obeys Maxwell’s distribution. |
| (b) | have the same value for all molecules. |
| (c) | equals the translational kinetic energy for each molecule. |
| (d) | is (2/3)rd the translational kinetic energy for each molecule. |
Choose the correct alternatives:
| 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)
When an ideal gas is compressed adiabatically, its temperature rises: the molecules on an 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 get accelerated in their motion inside the volume. |
| 4. | because of the redistribution of energy amongst the molecules. |
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 in the vertical direction. The pressure of the gas inside the vessel as observed by us on the ground:
| 1. | remains the same because \(500\) \(\mathrm{ms^{-1}}\) is very much smaller than \(v_{rms}\) 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 \(\Big(\frac{v_{rms}^2+(500)^2}{v_{rms}^2}\Big)\)where \(v_{rms}^2\) was the original mean square velocity of the gas. |
| 4. | will be different on the top wall and bottom wall of the vessel. |
1 mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at 300 K (figure). One face of the cube (EFGH) is made up of a material which totally absorbs any gas molecule incident on it. At any given time:
| 1. | the pressure on EFGH would be zero. |
| 2. | the pressure on all the faces will be equal. |
| 3. | the pressure on EFGH would be double the pressure on ABCD. |
| 4. | the pressure on EFGH would be half that on ABCD. |
Boyle's law is applicable for an:
| 1. | adiabatic process |
| 2. | isothermal process |
| 3. | isobaric process |
| 4. | isochoric process |
A cylinder containing an ideal gas is in a vertical position and has a piston of mass M that is able to move up or down without friction (figure). If the temperature is increased,
1. both P and V of the gas will change.
2. only P will increase according to Charles' law.
3. V will change but not P.
4. P will change but not V.
The volume versus temperature graphs for a given mass of an ideal gas are shown in the figure at two different values of constant pressure. What can be inferred about relation between \(\mathrm{P_1}\) and \(\mathrm{P_2}\)?
1. \(\mathrm{P_1}>\mathrm{P_2} \)
2. \(\mathrm{P_1}=\mathrm{P_2} \)
3. \(\mathrm{P_1}<\mathrm{P_2} \)
4. data is insufficient
1 mole of gas is contained in a box of volume V = 1.00 at T = 300 K. The gas is heated to a temperature of T = 3000 K and the gas gets converted to a gas of hydrogen atoms. The final pressure would be: (considering all gases to be ideal)
1. same as the pressure initially
2. 2 times the pressure initially
3. 10 times the pressure initially
4. 20 times the pressure initially
An inflated rubber balloon contains one mole of an ideal gas, has a pressure \(P,\) volume \(V\) and temperature \(T.\) If the temperature rises to \(1.1T,\) and the volume is increased to \(1.05V,\) the final pressure will be:
| 1. | \(1.1P\) |
| 2. | \(P\) |
| 3. | less than \(P\) |
| 4. | between \(P\) and \(1.1P\) |
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