# 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. $$\frac{T_{H_2}}{2}=\frac{T_{He}}{4}$$ 3. $$5 T_{H_2}=3 T_{He}$$ 4. $$\frac{T_{H_{2}}}{5}=\frac{T_{\text {He }}}{3}$$

Subtopic:  Kinetic Energy of an Ideal Gas |
52%
From NCERT
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Select the correct option based on statements below:
 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 |
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From NCERT
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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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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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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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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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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. $$\frac{P}{2}$$
4. $$4 P$$
Subtopic:  Kinetic Energy of an Ideal Gas |
64%
From NCERT
NEET - 2013
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The pressure exerted by a gas enclosed within a room is due to:

 1 collisions of the gas molecules with the walls of the room. 2 repulsive force between molecules of the gas. 3 weight of the molecules of the gas. 4 angular momentum of the molecules.
Subtopic:  Kinetic Energy of an Ideal Gas |
90%
From NCERT
Hydrogen gas is contained in a vessel and the RMS speed of the gas molecules is $$v$$. The gas is heated isobarically so that its volume doubles, then it is compressed isothermally so that it returns to the same volume. The final RMS speed of the molecules will be:
 1 2$$v$$ 2 $$v$$/2 3 $$v$$$$\sqrt2$$ 4 $$v$$/$$\sqrt2$$