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. repulsive force between molecules of the gas.
3. weight of the molecules of the gas.
4. angular momentum of the molecules.
Subtopic:  Kinetic Energy of an Ideal Gas |
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A gas in a vessel is initially at pressure \(P.\) If the mass of all the gas molecules is halved and their speed is doubled, then the resultant pressure will be:
1. \(2 P\) 2. \(P\)
3. \(\dfrac{P}{2}\) 4. \(4 P\)
Subtopic:  Kinetic Energy of an Ideal Gas |
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Suppose that the average kinetic energy (translational & rotational) of random molecular motion of helium (\(He\)) at temperature \(T_{He}\) is equal to that of hydrogen (\(H_2\)) at temperature \(T_{H_2}\). Then, 
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. \(\dfrac{T_{H_{2}}}{5}=\dfrac{T_{{He }}}{3}\)
Subtopic:  Kinetic Energy of an Ideal Gas |
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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

Subtopic:  Kinetic Energy of an Ideal Gas |
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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 \(1\) 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)
Subtopic:  Kinetic Energy of an Ideal Gas |
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A cubic vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of \(500~\text{ms}^{-1}\) in the vertical direction. The pressure of the gas inside the vessel as observed by us on the ground:

1.  remains the same because  \(500~\text{ms}^{-1}\) is very much smaller than \(v_{rms}\) of the gas.
2.  remains the same because the motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls.
3. will increase by a factor equal to \(\left(\dfrac{v_{rms}^2+(500)^2}{v_{rms}^2}\right) \) where \(v_{rms}^2\) was the original mean square velocity of the gas.
4. will be different on the top wall and bottom wall of the vessel.

Subtopic:  Kinetic Energy of an Ideal Gas |
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