I love this question, but had to look up the answer as I had no idea! So most paints are water based, and the rate of water evaporation depends upon the vapour pressure above the surface of a liquid. In a sealed paint time, vapour pressure can build up in the tin above the paint, meaning that the water in the paint will not evaporate, keeping it liquid. When the paint is put on the wall, the water can easily evaporate, leaving a dried film of solid paint on the wall. In oil based paints, oil does not evaporate, but undergoes a chemical reaction when exposed to air, causing the paint to set.
I’ll just add that the usual reason we put things in tins is to keep them sealed from the outside world. Paint tins keep moisture in and prevent paint from drying out, and baked bean tins prevent microbes from getting to your food and it going rotten. You might also keep tobacco or firelighters in a tin to keep them dry (rather than to keep them wet like paint).
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