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Q. No.An oxygen cylinder of volume \(30\) litre has \(18.20\) moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to \(11\) atmospheric pressure at temperature \(27^{\circ} \text{C}.\) The mass of the oxygen withdrawn from the cylinder is nearly equal to:
\([\)Given, \(R=\frac{100}{12}~ \text{J} \mathrm{~mol}^{-1} {~\text K}^{-1},\) and molecular mass of \(O_2=32,\) \(1\) atm pressure \(\left.=1.01 \times 10^5 \mathrm{~N} / \mathrm{m}\right]\)
1. \(0.116\text{ kg}\)
2. \(0.156\text{ kg}\)
3. \(0.125\text{ kg}\)
4. \(0.144\text{ kg}\)
\([\)Given, \(R=\frac{100}{12}~ \text{J} \mathrm{~mol}^{-1} {~\text K}^{-1},\) and molecular mass of \(O_2=32,\) \(1\) atm pressure \(\left.=1.01 \times 10^5 \mathrm{~N} / \mathrm{m}\right]\)
1. \(0.116\text{ kg}\)
2. \(0.156\text{ kg}\)
3. \(0.125\text{ kg}\)
4. \(0.144\text{ kg}\)
Subtopic: Ideal Gas Equation |
Level 4: Below 35%
NEET - 2025
Please attempt this question first.
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Please attempt this question first.
The following graph represents the \(T\text -V\) curves of an ideal gas (where \(T\) is the temperature and \(V\) the volume) at three pressures \(P_1, P_2\) and \(P_3\) compared with those of Charles's law represented as dotted lines.
Then the correct relation is:
Then the correct relation is:
| 1. | \(P_1>P_3>P_2 \) | 2. | \(P_2>P_1>P_3 \) |
| 3. | \( P_1>P_2>P_3\) | 4. | \(P_3 > P_2>P_1\) |
Subtopic: Ideal Gas Equation |
67%
Level 2: 60%+
NEET - 2024
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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. | \( 4.15 \times 10^6 ~\text{Pa}\) |
Subtopic: Ideal Gas Equation |
61%
Level 2: 60%+
NEET - 2023
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. | \(5.6\times10^{-3}~\text{m}^3\) |
Subtopic: Ideal Gas Equation |
Level 3: 35%-60%
NEET - 2022
Hints
An ideal gas equation can be written as \(P = \dfrac{ρRT}{M_{0}}\) where \(\rho\) and \(M_{0}\) are respectively:
| 1. | mass density, the mass of the gas. |
| 2. | number density, molar mass. |
| 3. | mass density, molar mass. |
| 4. | number density, the mass of the gas. |
Subtopic: Ideal Gas Equation |
79%
Level 2: 60%+
NEET - 2020
Hints
In the given \({(V\text{-}T)}\) diagram, what is the relation between pressure \({P_1}\) and \({P_2}\)?
| 1. | \(P_2>P_1\) | 2. | \(P_2<P_1\) |
| 3. | cannot be predicted | 4. | \(P_2=P_1\) |
Subtopic: Ideal Gas Equation |
84%
Level 1: 80%+
AIPMT - 2013
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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) | \(\dfrac13nm\bar v^2\) |
| (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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A gas in a vessel is initially at pressure \(P.\) If the mass of all the gas molecules is halved and their speed is doubled, then the resultant pressure will be:
| 1. | \(2 P\) | 2. | \(P\) |
| 3. | \(\dfrac{P}{2}\) | 4. | \(4 P\) |
Subtopic: Kinetic Energy of an Ideal Gas |
65%
Level 2: 60%+
NEET - 2013
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
Hints
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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