# 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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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 |
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The rms speed of the molecules of an enclosed gas is $$v$$. What will be the rms speed if the pressure is doubled, keeping the temperature constant?

 1 $$v \over 2$$ 2 $$v$$ 3 $$2v$$ 4 $$4v$$
Subtopic:  Types of Velocities |
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Two closed containers of equal volume are filled with air at pressure ${\mathrm{P}}_{0}$ and temperature ${\mathrm{T}}_{0}$. Both are connected by a narrow tube. If one of the containers is maintained at temperature ${\mathrm{T}}_{0}$ and the other at temperature T, then new pressure in the container will be:

1. $\frac{2{\mathrm{P}}_{0}\mathrm{T}}{\mathrm{T}+{\mathrm{T}}_{0}}$

2. $\frac{{\mathrm{P}}_{0}\mathrm{T}}{\mathrm{T}+{\mathrm{T}}_{0}}$

3. $\frac{{\mathrm{P}}_{0}\mathrm{T}}{2\left(\mathrm{T}+{\mathrm{T}}_{0}\right)}$

4. $\frac{\mathrm{T}+{\mathrm{T}}_{0}}{{\mathrm{P}}_{0}}$

Subtopic:  Ideal Gas Equation |
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The ratio of the average translatory kinetic energy of He gas molecules to ${\mathrm{O}}_{2}$ gas molecules is:

1. $\frac{25}{21}$

2. $\frac{21}{25}$

3. $\frac{3}{2}$

4. 1

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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Heat is  associated with:

 1 kinetic energy of random motion of molecules. 2 kinetic energy of orderly motion of molecules. 3 total kinetic energy of random and orderly motion of molecules. 4 kinetic energy of random motion in some cases and kinetic energy of orderly motion in other cases.

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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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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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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