Two gases of equal mass are in thermal equilibrium. If  and ${\mathrm{V}}_{\mathrm{a}}$ and ${\mathrm{V}}_{\mathrm{b}}$ are their respective pressures and volumes, then which relation is true

1.

2.

3. $\frac{{\mathrm{P}}_{\mathrm{a}}}{{\mathrm{V}}_{\mathrm{a}}}=\frac{{\mathrm{P}}_{\mathrm{b}}}{{\mathrm{V}}_{\mathrm{b}}}$

4.

Concept Questions :-

Ideal gas
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Difficulty Level:

The vapor of a substance behaves as a gas :

1. Below critical temperature

2. Above critical temperature

3. At 100°C

4. At 1000°C

Concept Questions :-

Maxwell distribution curve

Difficulty Level:

The temperature below which gas should be cooled, before it can be liquified by pressure only is termed as :

1. The dew point

2. The freezing point

3. The saturation point

4. The critical point

Concept Questions :-

Maxwell distribution curve

Difficulty Level:

The mean free path of gas molecules depends on (d = molecular diameter)

1. $\mathrm{d}$

2. ${\mathrm{d}}^{2}$

3. ${\mathrm{d}}^{-2}$

4. ${\mathrm{d}}^{-1}$

Concept Questions :-

Mean free path
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Difficulty Level:

For Boyle's law to hold the gas should be :

1. Perfect and of constant mass and temperature

2. Real and of constant mass and temperature

3. Perfect and at a constant temperature but variable mass

4. Real and at a constant temperature but variable mass

Concept Questions :-

Ideal gas
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Difficulty Level:

Consider a 1 c.c. sample of air at the absolute temperature ${\mathrm{T}}_{0}$ at sea level and another 1 c.c. sample of air at a height where the pressure is the one-third atmosphere. The absolute temperature T of the sample at that height is :

1. Equal to ${\mathrm{T}}_{0}/3$

2. Equal to $3/{\mathrm{T}}_{0}$

3. Equal to ${\mathrm{T}}_{0}$

4. Cannot be determined in terms of ${\mathrm{T}}_{0}$ from the above data

Concept Questions :-

Ideal gas
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Difficulty Level:

To double the volume of a given mass of an ideal gas at 27°C keeping the pressure constant, one must raise the temperature in degree centigrade to

1. 54°

2. 270°

3. 327°

4. 600°

Concept Questions :-

Ideal gas
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Difficulty Level:

Which of the following statements about kinetic theory of gases is wrong

1. The molecules of a gas are in continuous random motion

2. The molecules continuously undergo inelastic collisions

3. The molecules do not interact with each other except during collisions

4. The collisions amongst the molecules are of short duration

Concept Questions :-

Kinetic energy of gas
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Difficulty Level:

If a Vander-Waal's gas expands freely, then final temperature is

1. Less than the initial temperature

2. Equal to the initial temperature

3. More than the initial temperature

4. Less or more than the initial temperature depending on the nature of the gas

Concept Questions :-

Maxwell distribution curve
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Difficulty Level:

In Vander Waal's equation $\left[\mathrm{P}+\frac{\mathrm{a}}{{\mathrm{V}}^{2}}\right]\left(\mathrm{V}-\mathrm{b}\right)=\mathrm{RT},$ the dimensions of a are

1. ${\mathrm{M}}^{1}{\mathrm{L}}^{5}{\mathrm{T}}^{-2}$

2. ${\mathrm{M}}^{0}{\mathrm{L}}^{2}{\mathrm{T}}^{-3}$

3. ${\mathrm{M}}^{1}{\mathrm{L}}^{3}{\mathrm{T}}^{-2}$

4. ${\mathrm{M}}^{1}{\mathrm{L}}^{1}{\mathrm{T}}^{-2}$

Concept Questions :-

Ideal gas