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 |
 80%
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 |
From NCERT
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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 |
From NCERT
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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 |
 83%
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 |
 52%
From NCERT
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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 |
 67%
From NCERT
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The quantity  \( {pV} \over kT\) 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 |
 68%
From NCERT
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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 |
 84%
From NCERT
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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.
Choose the correct option:
1. (a), (b) 
2. (b), (c) 
3. (c), (d) 
4. (a), (d) 
Subtopic:  Kinetic Energy of an Ideal Gas |
From NCERT
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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 greater average speed.
(b) with smaller average speed.
(c) with greater average kinetic energy.
(d) with smaller average kinetic energy.

Choose the correct option: 
1. (a), (b) 
2. (b) only
3. (c), (d) 
4. (a), (d) 

Subtopic:  Types of Velocities |
 77%
From NCERT
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