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Q. No.The process on an ideal gas as shown in the figure given below is:
1. isothermal
2. isobaric
3. isochoric
4. none of these
2. isobaric
3. isochoric
4. none of these
Subtopic: Ideal Gas Equation |
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The quantity \( {pV} \over kT\) represents:
| 1. | mass of the gas |
| 2. | kinetic energy of the gas |
| 3. | number of moles of the gas |
| 4. | number of molecules in the gas |
Subtopic: Types of Velocities |
68%
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Suppose a container is evacuated to leave just one molecule of a gas in it. Let \(v_a\) and \(v_{rms}\) represent the average speed and the rms speed of the gas.
| 1. | \(v_a>v_{rms}\) |
| 2. | \(v_a<v_{rms}\) |
| 3. | \(v_a=v_{rms}\) |
| 4. | \(v_{rms}\) is undefined |
Subtopic: Types of Velocities |
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Which of the following parameters is the same for molecules of all gases at a given temperature?
| 1. | mass | 2. | speed |
| 3. | momentum | 4. | kinetic energy |
Subtopic: Kinetic Energy of an Ideal Gas |
70%
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Hydrogen gas is contained in a vessel and the RMS speed of the gas molecules is \(v\). The gas is heated isobarically so that its volume doubles, then it is compressed isothermally so that it returns to the same volume. The final RMS speed of the molecules will be:
| 1. | 2\(v\) | 2. | \(v\)/2 |
| 3. | \(v\)\(\sqrt2\) | 4. | \(v\)/\(\sqrt2\) |
Subtopic: Types of Velocities |
72%
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The pressure exerted by a gas enclosed within a room is due to:
| 1. | collisions of the gas molecules with the walls of the room. |
| 2. | repulsive force between molecules of the gas. |
| 3. | weight of the molecules of the gas. |
| 4. | angular momentum of the molecules. |
Subtopic: Kinetic Energy of an Ideal Gas |
90%
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Suppose that the average kinetic energy (translational & rotational) of random molecular motion of helium (\(He\)) at temperature \(T_{He}\) is equal to that of hydrogen (\(H_2\)) at temperature \(T_{H_2}\). Then,
1. \(T_{H_{2}}=T_{H e}\)
2. \(\frac{T_{H_2}}{2}=\frac{T_{He}}{4}\)
3. \(5 T_{H_2}=3 T_{He}\)
4. \(\frac{T_{H_{2}}}{5}=\frac{T_{\text {He }}}{3}\)
1. \(T_{H_{2}}=T_{H e}\)
2. \(\frac{T_{H_2}}{2}=\frac{T_{He}}{4}\)
3. \(5 T_{H_2}=3 T_{He}\)
4. \(\frac{T_{H_{2}}}{5}=\frac{T_{\text {He }}}{3}\)
Subtopic: Kinetic Energy of an Ideal Gas |
52%
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Select the correct option based on statements below:
| Assertion (A): | As a gas bubble rises from the bottom of a lake, its volume decreases. |
| Reason (R): | As the gas bubble rises from the bottom of a lake-the pressure of the gas within decreases. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Ideal Gas Equation |
68%
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One mole of an equimolar mixture of monoatomic \((He)\) and diatomic \((H_2)\) gases is heated to raise the temperature by \(1\) K under constant pressure. The amount of heat used in this process is (nearly):
1. \(8.3\) J
2. \(16.6\) J
3. \(25\) J
4. \(29\) J
1. \(8.3\) J
2. \(16.6\) J
3. \(25\) J
4. \(29\) J
Subtopic: Specific Heat |
60%
From NCERT
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Match Column - I and Column - II and choose the correct match from the given choices.
| Column - I | Column - II | ||
| (A) | root mean square speed of gas molecules | (P) | \(\frac13nm\bar v^2\) |
| (B) | the pressure exerted by an ideal gas | (Q) | \( \sqrt{\frac{3 R T}{M}} \) |
| (C) | the average kinetic energy of a molecule | (R) | \( \frac{5}{2} R T \) |
| (D) | the total internal energy of 1 mole of a diatomic gas | (S) | \(\frac32k_BT\) |
| (A) | (B) | (C) | (D) | |
| 1. | (Q) | (P) | (S) | (R) |
| 2. | (R) | (Q) | (P) | (S) |
| 3. | (R) | (P) | (S) | (Q) |
| 4. | (Q) | (R) | (S) | (P) |
Subtopic: Kinetic Energy of an Ideal Gas |
76%
From NCERT
NEET - 2021
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