A thermally insulated piston divides a container into two compartments.  Volume, temperature, and pressure in the right compartment are \(2V\), \(T\) and \(2P\), while in the left compartment the respective values are \(V\), \(T\) and \(P\).  If the piston can slide freely, then in the final equilibrium position, the volume of the right-hand compartment will be:

1. \(V\) 2. \(3V \over 5\)
3. \(9V \over 4\) 4. \(12V \over 5\)

Subtopic:  Ideal Gas Equation |
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The graph which represents the variation of mean kinetic energy of molecules with temperature t°C is ?

1. 2.
3. 4.

Subtopic:  Kinetic Energy of an Ideal Gas |
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Vrms,Vav,Vmp are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

1. Vrms<Vav<Vmp

2. Vrms>Vav>Vmp

3. Vrms < Vav>Vmp

4. Vavg>Vrms<Vmp

Subtopic:  Types of Velocities |
 82%
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Gas is found to obey the law P2V = constant. The initial temperature and volume are T0 and V0. If the gas expands to a volume 3V0, its final temperature becomes:

1. T03           

2. T03

3. 3T0           

4. None of these

Subtopic:  Ideal Gas Equation |
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For a gas, the r.m.s speed at 800 K is:

1. Four times the value at 200 K

2. Half the value at 200 K

3. Twice the value at 200 K

4. Same as at 200 K

Subtopic:  Types of Velocities |
 68%
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The average kinetic energy of a helium atom at 30°C is:                                                                                           [MP PMT 2004]

1. Less than 1 eV

2. A few KeV

3. 50-60 eV

4. 13.6 eV

Subtopic:  Kinetic Energy of an Ideal Gas |
From NCERT
PMT - 2004
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Choose the correct option related to the specific heat at constant volume CV -

1. CV=12fR           

2. CV=Rγ-1

3. CV=CPγ               

4. All of these

Subtopic:  Specific Heat |
 74%
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The curve between absolute temperature and \(\mathrm{v}^2_{rms}\) is:

1. 2.
3. 4.
Subtopic:  Types of Velocities |
 72%
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Five molecules of a gas have speeds, 1, 2, 3, 4 and 5 kms-1.  The value of the root mean square speed of the gas molecules is:

1. 3 kms-1           

2. 11 kms-1

3. 12π kms-1   

4. 3.5 kms-1

Subtopic:  Types of Velocities |
 78%
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The average velocity of an ideal gas molecule is:

1. proportional to \(\sqrt{T}\)
2. proportional to \(T^2\)
3. proportional to \(T^3\)
4. zero
Subtopic:  Types of Velocities |
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