- 1(current)
Q. No.On the basis of the kinetic theory of gases, one compares \(1~\text{gm}\) of hydrogen with \(1~\text{gm}\) of argon both at \(0^\circ \text{C}.\) Then:
| 1. | the same temperature implies that the average kinetic energy of the molecules is the same in both cases. |
| 2. | the same temperature implies that the average potential energy of the molecules is the same in both cases. |
| 3. | the internal energies in both cases are equal. |
| 4. | when both the samples are heated by \(1^\circ \text{C},\) the total energy added to both of them is the same. |
Subtopic: Â Kinetic Energy of an Ideal Gas |
From NCERT
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Hints
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Given below are two statements:
| Assertion (A): | The translational kinetic energy of every molecule of an ideal gas increases by \(50\%,\) if the absolute temperature is raised by \(50\text{%}.\) |
| Reason (R): | The average translational kinetic energy of the molecules of an ideal gas is directly proportional to its absolute temperature. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Â Kinetic Energy of an Ideal Gas |
From NCERT
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An equimolar mixture of helium \(\mathrm{(He)}\) and hydrogen \(\mathrm{(H_2)}\) gases is kept in a vessel at a temperature of \(500~\text{K}.\) Then:
| 1. | helium and hydrogen molecules have the same kinetic energy on average. |
| 2. | RMS speeds of helium and hydrogen molecules are equal. |
| 3. | the translational kinetic energy of hydrogen and helium molecules is equal. |
| 4. | all of the above are true. |
Subtopic: Â Kinetic Energy of an Ideal Gas |
From NCERT
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An ideal gas at absolute temperature \(T\) is contained in a cubical vessel of side \(L.\) The average momentum of the gas molecules, in a direction parallel to a side of the vessel, is:
| 1. | \(\propto T\) | 2. | \(\propto\sqrt T\) |
| 3. | \(T^{-1/2}\) | 4. | zero |
Subtopic: Â Kinetic Energy of an Ideal Gas |
From NCERT
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A molecule of helium \((He),\) having a speed equal to the RMS speed at a temperature of \(400~\text K,\) is introduced into hydrogen gas \((H_2)\) at \(300~\text K.\) After sufficient time (and collisions with the hydrogen gas molecules), the speed of the helium molecule will (on average):
1. increase
2. decrease
3. remain the same
4. become zero
1. increase
2. decrease
3. remain the same
4. become zero
Subtopic: Â Kinetic Energy of an Ideal Gas |
 51%
From NCERT
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Suppose that the average kinetic energy (translational & rotational) of random molecular motion of helium \(\mathrm{(He})\) at temperature \(T_\mathrm{He}\) is equal to that of hydrogen \(\mathrm{(H_2})\) at temperature \(T_\mathrm{H_2}.\) Then;
| 1. | \(T_\mathrm {H_{2}}=T_\mathrm{H e}\) | 2. | \(\dfrac{T_\mathrm{H_2}}{2}=\dfrac{T_\mathrm{He}}{4}\) |
| 3. | \(5 T_\mathrm{H_2}=3 T_\mathrm{He}\) | 4. | \(\dfrac{T_\mathrm{H_{2}}}{5}=\dfrac{T_\mathrm{{He }}}{3}\) |
Subtopic: Â Kinetic Energy of an Ideal Gas |
 54%
From NCERT
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The average internal kinetic energy, due to translational motion of a molecule in an ideal gas at absolute temperature \(T,\) is \(E_{tr}.\) This quantity, \(E_{tr},\) depends on:
Choose the correct option:
1. C
2. B
3. B, C
4. A, B, C
| (A) | mass of a molecule |
| (B) | number of atoms in a molecule |
| (C) | temperature, \(T\) |
1. C
2. B
3. B, C
4. A, B, C
Subtopic: Â Kinetic Energy of an Ideal Gas |
 54%
From NCERT
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The pressure of an ideal gas is written as \(p=\dfrac{2E}{3V},\) where \(E\) is the total kinetic energy, and \(V\) is the volume.
This statement is:
| 1. | always true. |
| 2. | true for mono-atomic gases. |
| 3. | always false. |
| 4. | true for diatomic gases. |
Subtopic: Â Kinetic Energy of an Ideal Gas |
 56%
From NCERT
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