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Q. No.Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic), the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct statement, among the following, is:
1.
All vessels contain an unequal number of respective molecules.
2.
The root mean square speed of molecules is the same in all three cases.
3.
The root mean square speed of helium is the largest.
4.
The root mean square speed of sulfur hexafluoride is the largest.
Subtopic: Types of Velocities |
75%
Level 2: 60%+
NEET - 2022
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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: Types of Velocities |
76%
Level 2: 60%+
NEET - 2022
Hints
The volume occupied by the molecules contained in \(4.5~\text{kg}\) water at STP, if the molecular forces vanish away, is:
1. \(5.6~\text{m}^3\)
2. \(5.6\times10^{6}~\text{m}^3\)
3. \(5.6\times10^{3}~\text{m}^3\)
4. \(5.6\times10^{-3}~\text{m}^3\)
1. \(5.6~\text{m}^3\)
2. \(5.6\times10^{6}~\text{m}^3\)
3. \(5.6\times10^{3}~\text{m}^3\)
4. \(5.6\times10^{-3}~\text{m}^3\)
Subtopic: Ideal Gas Equation |
Level 3: 35%-60%
NEET - 2022
Hints
The temperature of a gas is \(-50^\circ \text{C}.\) To what temperature the gas should be heated so that the RMS speed is increased by \(3\) times?
1. \(223~\text{K}\)
2. \(669^\circ \text{C}\)
3. \(3295^\circ \text{C}\)
4. \(3097~\text{K}\)
1. \(223~\text{K}\)
2. \(669^\circ \text{C}\)
3. \(3295^\circ \text{C}\)
4. \(3097~\text{K}\)
Subtopic: Types of Velocities |
54%
Level 3: 35%-60%
NEET - 2023
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A container of volume \(200\) cm3 contains \(0.2\) mole of hydrogen gas and \(0.3\) mole of argon gas. The pressure of the system at temperature \(200\) K (\(R=8.3\) JK–1 mol–1) will be:
1. \( 6.15 \times 10^5 ~\text{Pa} \)
2. \( 6.15 \times 10^4 ~\text{Pa} \)
3. \( 4.15 \times 10^5 ~\text{Pa} \)
4. \( 4.15 \times 10^6 ~\text{Pa}\)
1. \( 6.15 \times 10^5 ~\text{Pa} \)
2. \( 6.15 \times 10^4 ~\text{Pa} \)
3. \( 4.15 \times 10^5 ~\text{Pa} \)
4. \( 4.15 \times 10^6 ~\text{Pa}\)
Subtopic: Ideal Gas Equation |
61%
Level 2: 60%+
NEET - 2023
Hints
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) | \(\dfrac13nm\bar v^2\) |
| (B) | The pressure exerted by an ideal gas | (Q) | \( \sqrt{\dfrac{3 R T}{M}} \) |
| (C) | The average kinetic energy of a molecule | (R) | \( \dfrac{5}{2} R T \) |
| (D) | The total internal energy of a mole of a diatomic gas | (S) | \(\dfrac32k_BT\) |
| (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 |
80%
Level 1: 80%+
NEET - 2021
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The diameter of the water vapour molecule is \(2 \times 10^{- 10} \text{ m} \) and the number of molecules per unit volume at STP is \(2 . 7 \times 10^{25} \text{ m}^{- 3} .\) The mean free path for a water molecule in water vapour at \(373~\text{K}\) is:
1. \(2 . 5 \times 10^{- 7} ~\text{m}\)
2. \(6 \times 10^{- 7} ~\text{m}\)
3. \(3 \times 10^{- 7}~\text{m}\)
4. \(4 \times 10^{- 7}~\text{m}\)
1. \(2 . 5 \times 10^{- 7} ~\text{m}\)
2. \(6 \times 10^{- 7} ~\text{m}\)
3. \(3 \times 10^{- 7}~\text{m}\)
4. \(4 \times 10^{- 7}~\text{m}\)
Subtopic: Mean Free Path |
54%
Level 3: 35%-60%
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A cylinder of fixed capacity \(44.8\) litres contains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by \(15.0^\circ~\text{C}?\) (\(R=8.31\) J mol–1 K–1)
| 1. | \(379\) J | 2. | \(357\) J |
| 3. | \(457\) J | 4. | \(374\) J |
Subtopic: Specific Heat |
56%
Level 3: 35%-60%
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When a molecule (or an elastic ball) hits a ( massive) wall, it rebounds with the same speed. When a ball hits a massive bat held firmly, the same thing happens. However, when the bat is moving towards the ball, the ball rebounds at a different speed. Does the ball move faster or slower?
1. faster
2. slower
3. The speed of the ball does not change
4. none of these
Subtopic: Ideal Gas Equation |
73%
Level 2: 60%+
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Uranium has two isotopes of masses \(235 \) and \(238\) units. If both are present in Uranium hexafluoride gas. If the atomic mass of fluorine is \(19\) units, what is the percentage difference in speeds of isotopes of Uranium at any temperature?
1. \(0.43\)%
2. \(0.34\)%
3. \(0.55\)%
4. Data insufficient
1. \(0.43\)%
2. \(0.34\)%
3. \(0.55\)%
4. Data insufficient
Subtopic: Types of Velocities |
Level 3: 35%-60%
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