Two closed containers of equal volume are filled with air at pressure and temperature . Both are connected by a narrow tube. If one of the containers is maintained at temperature and the other at temperature T, then new pressure in the container will be:
1.
2.
3.
4.
The ratio of the average translatory kinetic energy of He gas molecules to gas molecules is:
1.
2.
3.
4. 1
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. |
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. | \(4v\) |
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. | \(5 . 97 \times 10^{- 19}~\text{J}\) |
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. |
\(1\) 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. |
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. |
The graph between volume and temperature in Charle's law is?
1. an ellipse
2. a circle
3. a straight line
4. a parabola
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. \( \frac{1}{\sqrt{2} n \pi \mathrm{d}}\)