When a gas is allowed to expand suddenly into a vacuum chamber, then : (a) heat supplied is zero

step 1 Hello students in this question we have given that when a gas is expanded is expanded suddenly i

When a gas is allowed to expand suddenly into a vacuum...

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Key Concepts

Free Expansion

Free expansion refers to the process where a gas expands into a vacuum without performing work on the surroundings because there is no external pressure resisting the expansion. This scenario is an example of an irreversible process where the gas rapidly fills the available space.

Adiabatic Process

An adiabatic process is one in which there is no heat transfer between the system and its surroundings. In the context of free expansion into a vacuum, the gas does not exchange heat with its environment, which is critical for understanding the behavior of the system during the process.

Internal Energy of an Ideal Gas

For an ideal gas, the internal energy depends solely on temperature. During a free expansion process, if no work is done and no heat is exchanged, the internal energy remains constant. Consequently, in the case of an ideal gas, this implies that the temperature remains constant despite the change in volume.

Ideal Gas Behavior

Ideal gas behavior is governed by the ideal gas law, where variables such as pressure, volume, and temperature are related. In scenarios like free expansion, the ideal gas assumption helps in simplifying the analysis by allowing the direct conclusion that a constant internal energy leads to a constant temperature, even when the gas expands into a larger volume.

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