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Ethanol has a much lower freezing point than water does, negative 114 degrees C. Waayy colder than your freezer, which is probably about -17. But Vodka will freeze, you just have to get it low enough.

Let's use Vodka as an example, since it's standardized at 40% alcohol. The more alcohol in a solution, the lower the freezing point. Vodka's 40% ethanol is enough to lower the freezing point to 27 degrees C. Dissolving things in water is generally a good way to lower it's melting point, which is why we put salt on the driveway in winter here in montana. The salt disolves in the water and lowers the freezing point below the temperature outside, so the ice melts and washes away.

Please note though, just because something has ethanol in it doesn't mean that it won't freeze in your freezer. Throw a beer in there and it will freeze so hard that, yes, it will explode and make your freezer an unhappy place.
Michael: Why doesn't liquor freeze?

Hank: Ethanol has a much lower freezing point than water does: -114º C, way colder than your freezer, which is probably about -17º. But vodka will freeze - you just have to get it cold enough.

So let's use vodka as an example, since it's standardized at 40% alcohol. The more alcohol in a solution, the lower the freezing point is. Vodka's 40% ethanol is enough to lower the freezing point to -27º C.

Please note, though - just because something has ethanol in it doesn't mean that it won't freeze in your freezer; beer, for example, will freeze without hesitation at -17º C, and the expansion of water in that beer will break the bottle and cause a mess. So, don't do that.