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Q. No.The following figure shows graphs of pressure versus density for an ideal gas at two temperatures \(T_1\) and \(T_2.\)
Then:
1.
\(T_1>T_2\)
2.
\(T_1 = T_2\)
3.
\(T_1<T_2\)
4.
any of the three is possible
Then:
Subtopic: Ideal Gas Equation |
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The mean square speed of the molecules of a gas at absolute temperature \(T\) is proportional to:
1. \(1 \over T\)
2. \( \sqrt{T} \)
3. \(T\)
4. \(T^2\)
Subtopic: Types of Velocities |
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Suppose a container is evacuated to leave just one molecule of a gas in it. Let \(v_a\) and \(v_{rms}\) represent the average speed and the RMS speed of the gas.
| 1. | \(v_a>v_{rms}\) |
| 2. | \(v_a<v_{rms}\) |
| 3. | \(v_a=v_{rms}\) |
| 4. | \(v_{rms}\) is undefined |
Subtopic: Types of Velocities |
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The rms speed of oxygen at room temperature is about \(500\) m/s. The rms speed of hydrogen at the same temperature is about:
1. \(125\) m s–1
2. \(2000\) m s–1
3. \(8000\) m s–1
4. \(31\) m s–1
1. \(125\) m s–1
2. \(2000\) m s–1
3. \(8000\) m s–1
4. \(31\) m s–1
Subtopic: Types of Velocities |
83%
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The pressure of a gas kept in an isothermal container is \(200~\text{kPa}.\) If half the gas is removed from it, the pressure will be:
1. \(100~\text{kPa}\)
2. \(200~\text{kPa}\)
3. \(400~\text{kPa}\)
4. \(800~\text{kPa}\)
Subtopic: Ideal Gas Equation |
55%
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The rms speed of oxygen molecules in a gas is \(v.\) If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become:
1. \(v\)
2. \(v\sqrt{2}\)
3. \(2v\)
4. \(4v\)
1. \(v\)
2. \(v\sqrt{2}\)
3. \(2v\)
4. \(4v\)
Subtopic: Types of Velocities |
67%
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The quantity; \(\dfrac {PV}{kT}\) represents:
| 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 |
Subtopic: Types of Velocities |
71%
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The process on an ideal gas as shown in the figure given below is:
1. isothermal
2. isobaric
3. isochoric
4. none of these
Subtopic: Ideal Gas Equation |
86%
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Consider a collision between an oxygen molecule and a hydrogen molecule in a mixture of oxygen and hydrogen kept at room temperature. Which of the following are possible?
| (a) | The kinetic energies of both the molecules increase. |
| (b) | The kinetic energies of both the molecules decrease. |
| (c) | The kinetic energy of the oxygen molecule increases and that of the hydrogen molecule decreases. |
| (d) | The kinetic energy of the hydrogen molecule increases and that of the oxygen molecule decreases. |
1. (a), (b)
2. (b), (c)
3. (c), (d)
4. (a), (d)
Subtopic: Kinetic Energy of an Ideal Gas |
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Consider a mixture of oxygen and hydrogen kept at room temperature. As compared to a hydrogen molecule, an oxygen molecule hits the wall:
| (a) | with a greater average speed |
| (b) | with a smaller average speed |
| (c) | with greater average kinetic energy |
| (d) | with smaller average kinetic energy |
Choose the correct option from the options given below:
| 1. | (a) and (b) only |
| 2. | (b) only |
| 3. | (c) and (d) only |
| 4. | (a) and (d) only |
Subtopic: Types of Velocities |
81%
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