# Given below are two statements:  Assertion (A): The average velocity of the molecules of an ideal gas increases when the temperature rises. Reason (R): The internal energy of an ideal gas increases with temperature, and this internal energy is the random kinetic energy of molecular motion.   1. (A) is True but (R) is False. 2. (A) is False but (R) is True. 3. Both (A) and (R) are True and (R) is the correct explanation of (A). 4. Both (A) and (R) are True but (R) is not the correct explanation of (A).

Subtopic:  Types of Velocities |
From NCERT
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Given below are two statements:
 Assertion (A): The mean free path of gas molecules varies inversely with the density of the gas. Reason (R): The mean free path varies inversely with the pressure of the gas.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

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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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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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In a vessel, the gas is at a pressure $$P$$. If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will be:
1. $$2 P$$
2. $$P$$
3. $$\dfrac{P}{2}$$
4. $$4 P$$
Subtopic:  Kinetic Energy of an Ideal Gas |
64%
From NCERT
NEET - 2013
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One mole of an equimolar mixture of monoatomic $$(He)$$ and diatomic $$(H_2)$$ gases is heated to raise the temperature by $$1$$ K under constant pressure. The amount of heat used in this process is (nearly):
1. $$8.3$$ J
2. $$16.6$$ J
3. $$25$$ J
4. $$29$$ J
Subtopic:  Specific Heat |
60%
From NCERT
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Given below are two statements:
 Assertion (A): As a gas bubble rises from the bottom of a lake, its volume decreases. Reason (R): As the gas bubble rises from the bottom of a lake, the pressure of the gas within decreases.

 1 (A) is True but (R) is False. 2 (A) is False but (R) is True. 3 Both (A) and (R) are True and (R) is the correct explanation of (A). 4 Both (A) and (R) are True but (R) is not the correct explanation of (A).
Subtopic:  Ideal Gas Equation |
68%
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What is the molar-specific heat capacity of a diatomic gas in an isochoric process if it has an additional vibrational mode?
\begin{align} & {{1}{.}\;\frac{5}{2}{R}}\\ & {{2}{.}\;\frac{3}{2}{R}}\\ & {{3}{.}\;\frac{7}{2}{R}}\\ & {{4}{.}\;\frac{9}{2}{R}} \end{align}
Subtopic:  Law of Equipartition of Energy |
71%
From NCERT
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Suppose that the average kinetic energy (translational & rotational) of random molecular motion of helium ($$He$$) at temperature $$T_{He}$$ is equal to that of hydrogen ($$H_2$$) at temperature $$T_{H_2}$$. Then,
 1 $$T_{H_{2}}=T_{H e}$$ 2 $$\dfrac{T_{H_2}}{2}=\dfrac{T_{He}}{4}$$ 3 $$5 T_{H_2}=3 T_{He}$$ 4 $$\dfrac{T_{H_{2}}}{5}=\dfrac{T_{{He }}}{3}$$
Subtopic:  Kinetic Energy of an Ideal Gas |
51%
From NCERT