supercoolin water?

Question

after you supercool water and it freezes if you let it melt can you supercool it again

Answer 1

Water does not retain a memory of being frozen. Once it is thawed again, it can be supercooled as many times as you like (assuming there are no impurities for ice crystals to form on).

Answer 2

Yes. You can supercool it ∞ times. The water has Alzheimer's Disease and won't remember.☺

See ►supercooling [ wikipedia ]:
A liquid below its melting point will crystallize in the presence of a seed crystal or nucleus around which a crystal structure can form. However, lacking any such nucleus, the liquid phase can be maintained all the way down to the temperature at which crystal homogeneous nucleation occurs. The homogeneous nucleation can occur above the glass transition where the system is an amorphous—that is, non-crystalline—solid.

Water has a melting point of 273.15 K (0 °C or 32 °F) but can be supercooled at standard pressure down to its crystal homogeneous nucleation at almost 231 K (−42.15 °C).[1] If cooled at a rate on the order of 1 million kelvins per second, the crystal nucleation can be avoided and water becomes a glass