# 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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When an ideal gas is compressed adiabatically, its temperature rises: the molecules on an average have more kinetic energy than before. The kinetic energy increases:

 1 because of collisions with moving parts of the wall only. 2 because of collisions with the entire wall. 3 because the molecules get accelerated in their motion inside the volume. 4 because of the redistribution of energy amongst the molecules.
Subtopic:  Kinetic Energy of an Ideal Gas |
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1 mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at 300 K (figure). One face of the cube (EFGH) is made up of a material which totally absorbs any gas molecule incident on it. At any given time:

 1 the pressure on EFGH would be zero. 2 the pressure on all the faces will be equal. 3 the pressure on EFGH would be double the pressure on ABCD. 4 the pressure on EFGH would be half that on ABCD.

Subtopic:  Kinetic Energy of an Ideal Gas |
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Diatomic molecules like hydrogen have energies due to both translational as well as rotational motion. From the equation in kinetic theory, $$PV = \dfrac{2}{3}E$$$,$ $$E$$ is:

 1 the total energy per unit volume. 2 only the translational part of energy because rotational energy is very small compared to translational energy. 3 only the translational part of the energy because during collisions with the wall, pressure relates to change in linear momentum. 4 the translational part of the energy because rotational energies of molecules can be of either sign and its average over all the molecules is zero.

Subtopic:  Kinetic Energy of an Ideal Gas |
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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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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 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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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 mean free path $$l$$ for a gas molecule depends upon the diameter, $$d$$ of the molecule as:

 1 $$l\propto \dfrac{1}{d^2}$$ 2 $$l\propto d$$ 3 $$l\propto d^2$$ 4 $$l\propto \dfrac{1}{d}$$
Subtopic:  Mean Free Path |
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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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