The average translational kinetic energy of $$O_2$$ (molar mass $$32$$) molecules at a particular temperature is $$0.048~\text{eV}$$. The translational kinetic energy of $$N_2$$ (molar mass $$28$$) molecules in $$\text{eV}$$ at the same temperature is:
1. $$0.0015$$
2. $$0.003$$
3. $$0.048$$
4. $$0.768$$

Subtopic:  Kinetic Energy of an Ideal Gas | Types of Velocities | Law of Equipartition of Energy |
81%
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In the PV graph shown below for an ideal diatomic gas, the change in the internal energy is:

1. $\frac{3}{2}\mathrm{P}\left({\mathrm{V}}_{2}-{\mathrm{V}}_{1}\right)$

2. $\frac{5}{2}\mathrm{P}\left({\mathrm{V}}_{2}-{\mathrm{V}}_{1}\right)$

3. $\frac{3}{2}\mathrm{P}\left({\mathrm{V}}_{1}-{\mathrm{V}}_{2}\right)$

4. $\frac{7}{2}\mathrm{P}\left({\mathrm{V}}_{1}-{\mathrm{V}}_{2}\right)$

Subtopic:  Law of Equipartition of Energy |
80%
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To find out the degree of freedom, the correct expression is:

1. $f=\frac{2}{\gamma -1}$

2. $f=\frac{\gamma +1}{2}$

3. $f=\frac{2}{\gamma +1}$

4. $f=\frac{1}{\gamma +1}$

Subtopic:  Law of Equipartition of Energy |
82%
From NCERT
AIPMT - 2000
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A gas mixture consists of $$2$$ moles of $$O_2$$ and $$4$$ moles of $$Ar$$ at temperature $$T.$$ Neglecting all the vibrational modes, the total internal energy of the system is:

 1 $$15RT$$ 2 $$9RT$$ 3 $$11RT$$ 4 $$4RT$$
Subtopic:  Law of Equipartition of Energy |
77%
From NCERT
NEET - 2017
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The change in the internal energy of an ideal gas does not depend on?

 1 Number of moles 2 Change in temperature 3 Specific heat at constant pressure $$C_p$$ of the gas 4 Specific heat at constant volume $$C_v$$ of the gas

Subtopic:  Law of Equipartition of Energy |
73%
From NCERT
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A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at $$300$$ K. The ratio of the average rotational kinetic energy per ${\mathrm{O}}_{2}$ molecule to that per ${\mathrm{N}}_{2}$ molecule is:

 1 1 : 1 2 1 : 2 3 2 : 1 4 depends on the moments of inertia of the two molecules

Subtopic:  Law of Equipartition of Energy |
70%
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The pressure in a diatomic gas increases from ${\mathrm{P}}_{0}$ to $3{\mathrm{P}}_{0}$, when its volume is increased from ${\mathrm{V}}_{0}$ $\mathrm{to}$ $2{\mathrm{V}}_{0}$. The increase in internal energy  will be:

1. $6{\mathrm{P}}_{\mathrm{o}}{\mathrm{V}}_{0}$

2. $8.5{\mathrm{P}}_{\mathrm{o}}{\mathrm{V}}_{0}$

3. $12.5{\mathrm{P}}_{\mathrm{o}}{\mathrm{V}}_{0}$

4. $14.5{\mathrm{P}}_{\mathrm{o}}{\mathrm{V}}_{0}$

Subtopic:  Law of Equipartition of Energy |
65%
From NCERT
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The translational kinetic energy of oxygen molecules at room temperature is 60 J. Their rotational kinetic energy will be?

1. 40 J

2. 60 J

3. 50 J

4. 20 J

Subtopic:  Law of Equipartition of Energy |
67%
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One mole of an ideal diatomic gas undergoes a transition from $$A$$ to $$B$$ along a path $$AB$$ as shown in the figure.

The change in internal energy of the gas during the transition is:

 1 $$20$$ kJ 2 $$-20$$ kJ 3 $$20$$ J 4 $$-12$$ kJ

Subtopic:  Law of Equipartition of Energy |
68%
From NCERT
NEET - 2015
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What is the average thermal energy of a helium atom at room temperature ($$27^{\circ}\mathrm{C}$$)?

 1 $$11 . 21 \times 10^{- 20} \text{J}$$ 2 $$3 . 09 \times 10^{- 16} \text{J}$$ 3 $$6 . 21 \times 10^{- 21} \text{J}$$ 4 $$5 . 97 \times 10^{- 19} \text{J}$$
Subtopic:  Law of Equipartition of Energy |
64%
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