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Q. No.A flask contains argon and chlorine in the ratio of \(2:1\) by mass. The temperature of the mixture is \(27^{\circ}\text{C}.\) The ratio of root mean square speed of the molecules of the two gases \(\left(\dfrac{v_{\text{rms}}^{\text{Ar}}}{v_{\text{rms}}^{\text{Cl}}}\right)~~\) is:
(atomic mass of argon \(=40.0~\text{u}\) and molecular mass of chlorine\(=70.0~\text{u}\))
1. \(\dfrac{\sqrt{7}}{2}\)
2. \(\dfrac{7}{2}\)
3. \(\dfrac{7}{4}\)
4. \(\dfrac{2}{\sqrt{7}}\)
(atomic mass of argon \(=40.0~\text{u}\) and molecular mass of chlorine\(=70.0~\text{u}\))
1. \(\dfrac{\sqrt{7}}{2}\)
2. \(\dfrac{7}{2}\)
3. \(\dfrac{7}{4}\)
4. \(\dfrac{2}{\sqrt{7}}\)
Subtopic: Types of Velocities |
73%
Level 2: 60%+
NEET - 2026
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A container has two chambers of volumes \(V_1=2~\text{litres} \) and \(V_2=3~\text{litres} \) separated by a partition made of a thermal insulator. The chambers contains \( n_1=5 \) and \( n_2=4 \) moles of ideal gas at pressures \(p_1=1~\text{atm} \) and \(p_2=2~\text{atm}, \) respectively. When the partition is removed, the mixture attains an equilibrium pressure of:
| 1. | \(1.4 ~\text{atm} \) | 2. | \(1.8 ~\text{atm} \) |
| 3. | \(1.3 ~\text{atm} \) | 4. | \(1.6 ~\text{atm} \) |
Subtopic: Ideal Gas Equation |
Level 3: 35%-60%
NEET - 2025
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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 After some oxygen is withdrawn from the cylinder, its gauge pressure drops to \(11\) atmospheric pressure at temperature \(27^{\circ} \text{C}.\) The mass of the oxygen withdrawn from the cylinder is nearly equal to: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
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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 |
66%
Level 2: 60%+
NEET - 2024
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An ideal gas at \(0^{\circ}\text{C}\) and atmospheric pressure \(P\) has volume \(V.\) The percentage increase in its temperature needed to expand it to \(3V\) at constant pressure is:
| 1. | \(100\%\) | 2. | \(200\%\) |
| 3. | \(300\%\) | 4. | \(50\%\) |
Subtopic: Ideal Gas Equation |
69%
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According to the law of equipartition of energy, the number of vibrational modes of a polyatomic gas of constant \(\gamma=\dfrac{C_{\mathrm{p}}}{C_{\mathrm{v}}}\) is (where \(C_p\) and \(C_v\) are the specific heat capacities of the gas at constant pressure and constant volume, respectively):
| 1. | \(\dfrac{4+3\gamma}{\gamma-1}\) | 2. | \(\dfrac{3+4\gamma}{\gamma-1}\) |
| 3. | \(\dfrac{4-3\gamma}{\gamma-1}\) | 4. | \(\dfrac{3-4\gamma}{\gamma-1}\) |
Subtopic: Law of Equipartition of Energy |
Level 3: 35%-60%
NEET - 2024
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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. | \( 4.15 \times 10^6 ~\text{Pa}\) |
Subtopic: Ideal Gas Equation |
61%
Level 2: 60%+
NEET - 2023
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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
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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
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