under what condition will the condensation of a liquid be an irreversible process?

At a temperature below the boiling point.

The condensation of a liquid can be either a reversible or an irreversible process, depending on the conditions involved.

In general, condensation is the transition of a gas or vapor to a liquid state when it loses energy (usually heat) to its surroundings. If the process occurs reversibly, it means that it can be reversed by applying the appropriate conditions (e.g., changing the temperature or pressure).

However, under certain conditions, condensation can be considered irreversible. Here are a few possible scenarios:

1. Two-phase mixture: If the condensing substance forms a two-phase mixture (i.e., a mixture of liquid and vapor) and the vapor phase is continuously removed, the process is irreversible. This occurs, for example, when vapor is being condensed in a condenser unit, and the condensed liquid is collected separately.

2. Unrecoverable heat loss: If during condensation, the liquid loses heat irreversibly to its surroundings (e.g., if it condenses against a colder surface or is mixed with a much colder liquid), the process is irreversible. Heat loss cannot be recovered by simply reversing the conditions.

3. Chemical reactions: If the condensation process is accompanied by chemical reactions that permanently alter the molecular structure or composition of the substance, the process is irreversible. This typically happens when condensation reactions involve catalysts or reactants that irreversibly combine or decompose.

It's important to note that the distinction between reversible and irreversible processes depends on the specific conditions and assumptions considered. In practice, many condensation processes can be approximated as reversible under ideal conditions, but in real-world scenarios, irreversibilities often occur.