The value \(\gamma = \dfrac{C_P}{C_V}\) for hydrogen, helium, and another ideal diatomic gas \(X\) (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to:
1. \(\dfrac{7}{5}, \dfrac{5}{3}, \dfrac{9}{7}\)
2. \(\dfrac{5}{3}, \dfrac{7}{5}, \dfrac{9}{7}\)
3. \(\dfrac{5}{3}, \dfrac{7}{5}, \dfrac{7}{5}\)
4. \(\dfrac{7}{5}, \dfrac{5}{3}, \dfrac{7}{5}\)

Subtopic:  Law of Equipartition of Energy |
 56%
From NCERT
NEET - 2019
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An increase in the temperature of a gas-filled in a container would lead to:
1. decrease in intermolecular distance.
2. increase in its mass.
3. increase in its kinetic energy.
4. decrease in its pressure.

Subtopic:  Kinetic Energy of an Ideal Gas |
 87%
From NCERT
NEET - 2019
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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 \(27^\circ\text{C}.\) 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. \(\dfrac{3}{2}k_BT\) 2. \(\dfrac{5}{2}k_BT\)
3. \(\dfrac{7}{2}k_BT\) 4. \(\dfrac{1}{2}k_BT\)
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. \(l\propto \dfrac{1}{d^2}\) 2. \(l\propto d\)
3. \(l\propto d^2 \) 4. \(l\propto \dfrac{1}{d}\)
Subtopic:  Mean Free Path |
 84%
From NCERT
NEET - 2020
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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 |
 78%
From NCERT
NEET - 2020
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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 \(1\) 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 |
 76%
From NCERT
NEET - 2021
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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 |
 74%
From NCERT
NEET - 2022
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