# 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 |
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How does the pressure of an ideal gas change during the process shown in the diagram?

 1 pressure increases continuously. 2 pressure decreases continuously. 3 pressure first increases and then decreases. 4 pressure first decreases and then increases.

Subtopic:  Ideal Gas Equation |
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How does the temperature change when the state of an ideal gas is changed according to the process shown in the figure?

 1 temperature increases continuously. 2 temperature decreases continuously. 3 temperature first increases and then decreases. 4 temperature first decreases and then increases.

Subtopic:  Ideal Gas Equation |
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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 |
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The figure shows a process for a gas in which pressure (P) and volume (V) of the gas change. If ${C}_{1}$ and ${C}_{2}$ are the molar heat capacities of the gas during the processes AB and BC respectively, then:

1. ${C}_{1}={C}_{2}$

2. ${C}_{1}>{C}_{2}$

3. ${C}_{1}<{C}_{2}$

4. ${C}_{1}\le {C}_{2}$

Subtopic:  Specific Heat |
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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 |
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When the gas in an open container is heated, the mean free path:

 1 Increases 2 Decreases 3 Remains the same 4 Any of the above depending on the molar mass

Subtopic:  Mean Free Path |
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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 |
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The translational kinetic energy of moles of a diatomic gas at absolute temperature is given by:
1. $\frac{5}{2}nRT$
2. $\frac{3}{2}nRT$
3. $\mathit{5}nRT$
4. $\frac{7}{2}nRT$

Subtopic:  Kinetic Energy of an Ideal Gas |
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If the pressure of a gas is doubled, then the average kinetic energy per unit volume of the gas will be:

 1 half of its initial value. 2 double its initial value. 3 one-fourth of its initial value. 4 four times its initial value.
Subtopic:  Kinetic Energy of an Ideal Gas |
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