A gas behaves more closely as an ideal gas at:

1. low pressure and low temperature
2. low pressure and high temperature
3. high pressure and low temperature
4. high pressure and high temperature

Subtopic:  Ideal Gas Equation |
 84%
From NCERT
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The pressure of an ideal gas is written as \(P= \frac{2E}{3V}\). Here \(E\) refers to:

1. translational kinetic energy
2. rotational kinetic energy
3. vibrational kinetic energy
4. total kinetic energy
Subtopic:  Kinetic Energy of an Ideal Gas |
 51%
From NCERT
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The energy of a given sample of an ideal gas depends only on its:
1. volume
2. pressure 
3. density
4. temperature.

Subtopic:  Kinetic Energy of an Ideal Gas |
 87%
From NCERT
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Which of the following gases has maximum rms speed at a given temperature?
1. hydrogen
2. nitrogen
3. oxygen
4. carbon dioxide

Subtopic:  Types of Velocities |
 89%
From NCERT
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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
Subtopic:  Ideal Gas Equation |
 77%
From NCERT
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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 
Subtopic:  Types of Velocities |
 82%
From NCERT
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The pressure of a gas kept in an isothermal container is 200 kPa. If half the gas is removed from it, the pressure will be

1.  100 kPa

2.  200 kPa

3.  400 kPa

4.  800 kPa.

Subtopic:  Ideal Gas Equation |
 51%
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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. \(4v\)
Subtopic:  Types of Velocities |
 66%
From NCERT
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