Answer:

Introduction:
The work done by a gas is a product of the force applied and the distance that the gas moves. When a gas expands, it does work on its surroundings. The amount of work done depends on the conditions under which the expansion occurs.

Minimum work:
The minimum work is a situation where the gas is expanding under the conditions where the maximum amount of energy is conserved. This means that any additional work that the gas does will result in a loss of energy.

Expansions types:
There are four types of gas expansions: adiabatic, isothermal, isobaric, and isochoric.

Adiabatic Expansion:
An adiabatic expansion is one in which no heat is exchanged between the gas and its surroundings. The expansion occurs so quickly that there is no time for heat to be transferred. In this case, the gas performs the minimum work.

Isothermal Expansion:
An isothermal expansion is one in which the temperature of the gas remains constant throughout the expansion. The gas performs more work during an isothermal expansion than during an adiabatic expansion.

Isobaric Expansion:
An isobaric expansion is one in which the pressure of the gas remains constant throughout the expansion. In this case, the gas performs more work than during an adiabatic expansion but less work than during an isothermal expansion.

Isochoric Expansion:
An isochoric expansion is one in which the volume of the gas remains constant throughout the expansion. In this case, the gas performs no work.

Conclusion:
Therefore, the gas performs minimum work during an adiabatic expansion. During an adiabatic expansion, the gas expands quickly and does not exchange heat with its surroundings. This means that the gas does not lose any energy to its surroundings and performs the minimum amount of work.

Adiabatically.