Question

A system that does work on the surroundings with no heat change (i.e., q = 0) has:

Answer 1

A system that performs work on the surroundings without any heat exchange (q = 0) undergoes an adiabatic process.

Step-by-step explanation:

When a system performs work on its surroundings without any heat transfer, it indicates that the heat exchanged (q) is zero. This scenario aligns with an adiabatic process, characterized by the absence of heat exchange between the system and its surroundings. In thermodynamics, an adiabatic process involves a change in the system's internal energy due solely to work done on or by the system.

In this case, the system's energy change is entirely due to work, and the absence of heat transfer distinguishes it as an adiabatic process. Such processes can occur rapidly or slowly, depending on the conditions, but the crucial aspect is the absence of heat exchange during the work done by or on the system.

This scenario could occur in various situations, such as a perfectly insulated container or a system undergoing quick, reversible compression or expansion without allowing time for heat transfer to occur.

Answer 2

If a system does work on the surroundings with no heat exchange (q = 0), its internal energy change is solely attributed to the work done by the system on the surroundings.

If a system does work on the surroundings with no heat exchange
`(\(q = 0\))`, it implies that the internal energy change
`(\(\Delta U\))` within the system is solely due to work
`(\(w\))` done on the surroundings.

According to the First Law of Thermodynamics
`(\(\Delta U = q + w\)), when \(q = 0\)`, the internal energy change is solely attributed to work done by the system on the surroundings. Therefore, in this scenario, the system's internal energy change is equal to the work done on the surroundings
`(\(\Delta U = w\)).`