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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 |
68%
Level 2: 60%+
NEET - 2026
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An ideal gas is made of polyatomic molecules. Each of the molecules has three translational, three rotational and \(f\) number of vibrational modes. If the ratio of heat capacities \(C_p/C_V\) of the gas is \(8/7,\) then \(f\) is:
1. \(1\)
2. \(4\)
3. \(3\)
4. \(2\)
1. \(1\)
2. \(4\)
3. \(3\)
4. \(2\)
Subtopic: Law of Equipartition of Energy |
Level 3: 35%-60%
NEET - 2026
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The mean free path of molecules in an ideal gas \(A\) is half that of another ideal gas \(B.\) The diameter of the spherical molecules of gas \(A\) is twice the diameter of the molecules of \(B.\) If number densities of the gases \(A\) and \(B\) are \(n_A\) and \(n_B\), respectively, then the correct option is:
1. \(n_A = \dfrac{1}{2} n_B\)
2. \(n_A = n_B~\)
3. \(n_A = 2 n_B\)
4. \(n_A = \dfrac{1}{4} n_B\)
1. \(n_A = \dfrac{1}{2} n_B\)
2. \(n_A = n_B~\)
3. \(n_A = 2 n_B\)
4. \(n_A = \dfrac{1}{4} n_B\)
Subtopic: Mean Free Path |
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Level 3: 35%-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 |
67%
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%
Level 2: 60%+
NEET - 2024
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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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