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 ratio of the average translatory kinetic energy of He gas molecules to gas molecules is:
1.
2.
3.
4. 1
To find out the degree of freedom, the correct expression is:
1.
2.
3.
4.
The graph between volume and temperature in Charle's law is?
1. an ellipse
2. a circle
3. a straight line
4. a parabola
An increase in the temperature of a gas-filled in a container would lead to:
1. | decrease in the intermolecular distance. |
2. | increase in its mass. |
3. | increase in its kinetic energy. |
4. | decrease in its pressure. |
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. \( \frac{1}{\sqrt{2} n \pi \mathrm{d}}\)
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. |
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. | \(2\times10^{6}\) |
The translational kinetic energy of n moles of a diatomic gas at absolute temperature T is given by:
1.
2.
3.
4.
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