# 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%
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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 |
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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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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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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
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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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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