- 1(current)
Q. No.Given below are two statements:
| Statement I: | The average momentum of a molecule in a sample of an ideal gas depends on temperature. |
| Statement II: | The RMS speed of oxygen molecules in a gas is \(v\). If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the RMS speed will become \(2v\). |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Both Statement I and Statement II are incorrect. |
| 3. | Statement I is correct but Statement II is incorrect. |
| 4. | Statement I is incorrect but Statement II is correct. |
Subtopic: Â Types of Velocities |
From NCERT
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Given below are two statements:
| Assertion (A): | The average velocity of the molecules of an ideal gas increases when the temperature rises. |
| Reason (R): | The internal energy of an ideal gas increases with temperature, and this internal energy is the random kinetic energy of molecular motion. |
| 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: Â Types of Velocities |
From NCERT
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Given below are two statements:
| Statement I: | In an ideal gas, all the molecules move with the same RMS speed but in different directions. |
| Statement II: | The molecules of an ideal gas undergo random elastic collisions with the walls of the container. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Â Types of Velocities |
From NCERT
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The average momentum of the molecules in a sample of \(H_2\) - gas at temperature 300 K has a magnitude \(p_1\) and that for He-gas at the same temperature has the magnitude \(p_2.\) Then,
| 1. | \(p_1 > p_2\) |
| 2. | \(p_2 > p_1\) |
| 3. | \(p_1 = p_2\) |
| 4. | the relationship between \(p_1\) and \(p_2\) depends on pressure. |
Subtopic: Â Types of Velocities |
From NCERT
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The temperature of a mono-atomic gas is measured by indirectly measuring the RMS speed of its molecules \(v_r.\) The gas is enclosed in a cubical vessel of side-\(L,\) and this gas expands adiabatically with the side-\(L\) expanding. During the process:
| 1. | \(v_r~L^{1/3}=\text{constant}\) | 2. | \(v_r~L^{2}=\text{constant}\) |
| 3. | \(v_r~L=\text{constant}\) | 4. | \({\large\dfrac{v_r}{L}}=\text{constant}\) |
Subtopic: Â Types of Velocities |
From NCERT
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