# Without change in temperature, a gas is forced in a smaller volume. Its pressure increases because its molecules: 1. strike the unit area of the container wall more often. 2. strike the unit area of the container wall at a higher speed. 3. strike the unit area of the container wall with greater force. 4. have more energy.

Subtopic:  Kinetic Energy of an Ideal Gas |
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A gas at pressure ${\mathrm{P}}_{0}$ is contained in a vessel. If the masses of all the molecules are halved and their speeds doubled, the resulting pressure would be:

1. $4{\mathrm{P}}_{0}$

2. $2{\mathrm{P}}_{0}$

3. ${\mathrm{P}}_{0}$

4. $\frac{{\mathrm{P}}_{0}}{2}$

Subtopic:  Kinetic Energy of an Ideal Gas |
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The mean free path for a gas, with molecular diameter $$d$$ and number density $$n,$$ can be expressed as:
1. $$\frac{1}{\sqrt{2} n \pi \mathrm{d}^2}$$
2. $$\frac{1}{\sqrt{2} n^2 \pi \mathrm{d}^2}$$
3. $$\frac{1}{\sqrt{2} n^2 \pi^2 d^2}$$
4. $$\frac{1}{\sqrt{2} n \pi \mathrm{d}}$$

Subtopic:  Mean Free Path |
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If at a pressure of $$10^6$$ dyne/cm2, one gram of nitrogen occupies $$2\times10^4$$ c.c. volume, then the average energy of a nitrogen molecule in erg is:

 1 $$14\times10^{-13}$$ 2 $$10\times10^{-12}$$ 3 $$10^{6}$$ 4 $$2\times10^{6}$$
Subtopic:  Kinetic Energy of an Ideal Gas |
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The graph between volume and temperature in Charle's law is?
1. an ellipse
2. a circle
3. a straight line
4. a parabola

Subtopic:  Ideal Gas Equation |
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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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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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Two isotherms are drawn at temperatures ${\mathrm{T}}_{1}$ $\mathrm{and}$ ${\mathrm{T}}_{2}$ as shown. The ratio of mean speed  at ${\mathrm{T}}_{1}$ $\mathrm{and}$ ${\mathrm{T}}_{2}$ is:

 1 1: 4 2 1: 2 3 2: 1 4 4: 1
Subtopic:  Types of Velocities |
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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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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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