# 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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