- 1(current)
Q. No.The temperature at which the RMS speed of atoms in neon gas is equal to the RMS speed of hydrogen molecules at \(15^{\circ} \text{C}\) is:
(the atomic mass of neon \(=20.2~\text u,\) molecular mass of hydrogen \(=2~\text u\))
1. \(2.9\times10^{3}~\text K\)
2. \(2.9~\text K\)
3. \(0.15\times10^{3}~\text K\)
4. \(0.29\times10^{3}~\text K\)
Subtopic: Â Types of Velocities |
 76%
Level 2: 60%+
NEET - 2022
Hints
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: Â Types of Velocities |
 71%
Level 2: 60%+
Hints
The molecules of a given mass of gas have RMS velocity of \(200~\text{ms}^{-1}\) at \(27^\circ \text{C}\) and \(1.0\times 10^{5}~\text{Nm}^{-2}\) pressure. When the temperature and the pressure of the gas are respectively, \(127^\circ \text{C}\) and \(0.05\times10^{5}~\text{Nm}^{-2},\) the RMS velocity of its molecules in \((\text{ms}^{-1})\) is:
1. \(\frac{400}{\sqrt{3}}\)
2. \(\frac{100\sqrt{2}}{3}\)
3. \(\frac{100}{3}\)
4. \(100\sqrt{2}\)
1. \(\frac{400}{\sqrt{3}}\)
2. \(\frac{100\sqrt{2}}{3}\)
3. \(\frac{100}{3}\)
4. \(100\sqrt{2}\)
Subtopic: Â Types of Velocities |
 83%
Level 1: 80%+
NEET - 2016
Hints
Links
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 |
Level 4: Below 35%
Hints
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: Â Types of Velocities |
Level 3: 35%-60%
Hints
The quantity; \(\dfrac {PV}{kT}\) 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: Â Types of Velocities |
 70%
Level 2: 60%+
Hints
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