The process on an ideal gas as shown in the figure given below is:
1. isothermal
2. isobaric
3. isochoric
4. none of these
1. | mass of the gas |
2. | kinetic energy of the gas |
3. | number of moles of the gas |
4. | number of molecules in the gas |
1. | \(v_a>v_{rms}\) |
2. | \(v_a<v_{rms}\) |
3. | \(v_a=v_{rms}\) |
4. | \(v_{rms}\) is undefined |
Which of the following parameters is the same for molecules of all gases at a given temperature?
1. mass
2. speed
3. momentum
4. kinetic energy
Hydrogen gas is contained in a vessel and the RMS speed of the gas molecules is \(v\). The gas is heated isobarically so that its volume doubles, then it is compressed isothermally so that it returns to the same volume. The final RMS speed of the molecules will be:
1. | \(v\) | 22. | \(v\)/2 |
3. | \(v\)\(\sqrt2\) | 4. | \(v\)/\(\sqrt2\) |
The pressure exerted by a gas enclosed within a room is due to:
1. | collisions of the gas molecules with the walls of the room |
2. | the repulsive force between molecules of the gas |
3. | weight of the molecules of the gas |
4. | angular momentum of the molecules |
1. | \(T_{H_{2}}=T_{H e}\) | 2. | \(\dfrac{T_{H_2}}{2}=\dfrac{T_{He}}{4}\) |
3. | \(5 T_{H_2}=3 T_{He}\) | 4. | \(\dfrac{T_{H_{2}}}{5}=\dfrac{T_{{He }}}{3}\) |
Assertion (A): | As a gas bubble rises from the bottom of a lake, its volume decreases. |
Reason (R): | As the gas bubble rises from the bottom of a lake, the pressure of the gas within decreases. |
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). |
Match Column I and Column II and choose the correct match from the given choices.
Column I | Column II | ||
(A) | Root mean square speed of gas molecules | (P) | \(\dfrac13nm\bar v^2\) |
(B) | The pressure exerted by an ideal gas | (Q) | \( \sqrt{\dfrac{3 R T}{M}} \) |
(C) | The average kinetic energy of a molecule | (R) | \( \dfrac{5}{2} R T \) |
(D) | The total internal energy of a mole of a diatomic gas | (S) | \(\dfrac32k_BT\) |
(A) | (B) | (C) | (D) | |
1. | (Q) | (P) | (S) | (R) |
2. | (R) | (Q) | (P) | (S) |
3. | (R) | (P) | (S) | (Q) |
4. | (Q) | (R) | (S) | (P) |