The temperature of a gas is \(-50^\circ \mathrm{C}\). To what temperature the gas should be heated so that the rms speed is increased by \(3\) times?
1. \(223\) \(\text{K}\) 2. \(669^\circ \mathrm{C}\)
3. \(3295^\circ \mathrm{C}\) 4. \(3097\) \(\text{K}\)
Subtopic:  Types of Velocities |
 50%
From NCERT
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. \( 6.15 \times 10^5 \mathrm{~Pa} \) 2. \( 6.15 \times 10^4 \mathrm{~Pa} \)
3. \( 4.15 \times 10^5 \mathrm{~Pa} \) 4. \( 4.15 \times 10^6 \mathrm{~Pa}\)

Subtopic:  Ideal Gas Equation |
 56%
From NCERT
NEET - 2023
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The volume occupied by the molecules contained in \(4.5\) kg water at STP, if the molecular forces vanish away, is:
1. \(5.6\) m3
2. \(5.6\times10^{6}\) m3
3. \(5.6\times10^{3}\) m3
4. \(5.6\times10^{-3}\) m3
Subtopic:  Ideal Gas Equation |
From NCERT
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 \(15^{\circ} \mathrm{C}\) is: (Atomic mass of neon\(=20.2\) u, molecular mass of hydrogen\(=2\) u)
1. \(2.9\times10^{3}\) K
2. \(2.9\) K
3. \(0.15\times10^{3}\) K
4. \(0.29\times10^{3}\) K

Subtopic:  Types of Velocities |
 73%
From NCERT
NEET - 2022
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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 unequal number of respective molecules.
2.  the root mean square speed of molecules is same in all the 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 |
 71%
From NCERT
NEET - 2022
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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) \(\frac13nm\bar v^2\)
(B) the pressure exerted by an ideal gas (Q) \( \sqrt{\frac{3 R T}{M}} \)
(C) the average kinetic energy of a molecule (R) \( \frac{5}{2} R T \)
(D) the total internal energy of 1 mole of a diatomic gas (S) \(\frac32k_BT\)
 
(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 |
 75%
From NCERT
NEET - 2021
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The mean free path for a gas, with molecular diameter \(d\) and number density \(n,\) can be expressed as:
1. \( \frac{1}{\sqrt{2} n \pi \mathrm{d}^2} \)
2. \( \frac{1}{\sqrt{2} n^2 \pi \mathrm{d}^2} \)
3. \(\frac{1}{\sqrt{2} n^2 \pi^2 d^2} \)
4. \( \frac{1}{\sqrt{2} n \pi \mathrm{d}}\)

Subtopic:  Mean Free Path |
 81%
From NCERT
NEET - 2020
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A cylinder contains hydrogen gas at a pressure of \(249~\text{kPa}\) and temperature \(27^\circ~\mathrm{C}.\) Its density is: (\(R=8.3~\text{J mol}^{-1} \text {K}^{-1}\))
1. \(0.2~\text{kg/m}^{3}\)
2. \(0.1~\text{kg/m}^{3}\)
3. \(0.02~\text{kg/m}^{3}\)
4. \(0.5~\text{kg/m}^{3}\)

Subtopic:  Ideal Gas Equation |
 61%
From NCERT
NEET - 2020
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The average thermal energy for a mono-atomic gas is:
(\(k_B\) is Boltzmann constant and T absolute temperature)
1. \(\frac{3}{2}k_BT\)
2. \(\frac{5}{2}k_BT\)
3. \(\frac{7}{2}k_BT\)
4. \(\frac{1}{2}k_BT\)

Subtopic:  Kinetic Energy of an Ideal Gas |
 87%
From NCERT
NEET - 2020
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The mean free path \(l\) for a gas molecule depends upon the diameter, \(d\) of the molecule as:
1. \(l\propto \frac{1}{d^2}\)
2. \(l\propto d\)
3. \(l\propto d^2 \)
4. \(l\propto \frac{1}{d}\)

Subtopic:  Mean Free Path |
 83%
From NCERT
NEET - 2020
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