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Assuming a cooler with some quantity of ice less than the total volume of the cooler. Add water, wait a few minutes for heat exchange to stabilize temperature of ice water solution. The pop cans you place in cooler will warm to or cool to and, as long as both ice and water remain in solution, will remain at 32 deg f.

So adding water to a cooler of ice and soda will stabilize your soda temperature at 32 deg f. and it probably won't freeze.

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