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Question

What is the volume of ideal gas at absolute zero temperature?

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Solution

Theoratically, an ideal gas has zero volume at absolute zero temperature.

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Q. An ideal gas in thermally insulated vessel at internal pressure

= p_{1}

= V_{1}

and absolute temperature

= T_{1}

expands irreversibly against zero external pressure, as shown in the diagram.
The final internal pressure, volume and absolute temperature of the gas are

p_{2}, V_{2} a n d T_{2}

respectively.
For this expansion

Q. Assertion :The lowest hypothetical or imaginary temperature at which gases are supposed to occupy zero volume is called absolute zero. Reason: Volume of the gas at

- {273.15}^{\circ} C

becomes zero i.e. gas does not exist at this temperature.

Q. An ideal gas in a thermally insulated vessel at internal pressure

P_{1}

= V_{1}

and absolute temperature

= T_{1}

expands irreversiblly against zero external pressure, as shown in the diagram. The final external pressure, volume and absolute temperature of the gas are

P_{2}, V_{2}

T_{2}

respectively. For this expansion:

Q. An ideal gas in a thermally insulated vessel at internal pressure

= P_{1}

= V_{1}

and absolute temperature

= T_{1}

expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are

P_{2}, V_{2}

T_{2}

, respectively. For this expansion

Q. Assertion :Absolute zero is a theoretically possible temperature at which the volume of the gas becomes zero. Reason: The total kinetic energy of the molecule is zero at this temperature.

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