A bottle is partly filled with liquid water, sealed shut, and then placed under a heat lamp. The volume of the liquid water eventually reaches a stable level because:

Because the rate at which water vapour condenses gets increase slowly to get equal to the rate of evaporation of the water.

Explanation:

When a bottle is partly filled with liquid water is leaves space for vapours to escape and get condensed equally.

When sealed and kept below the lamp the rate of condensation increases due to the empty space in the bottle for getting vapours cool down.

A point arrives when evaporation equates the condensation of the liquid in bottle becomes stable because vapours cannot pass the bottle eventually condense and become liquid.

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