The mass will have little to do with it. A gram of water is a gram of water.
My high school physics teacher threw a knuckleball into an extra credit question on an exam once.
Take a 500 gram snowball of uniform temperature of -5*C. Throw it at a wall. How fast does it have to be going to melt completely on impact?
The red herring was the mass. It made no difference. Each gram/mole/molecule of water requires the same amount of energy to warm to the melting point. Similarly, each unit of mass of the water needs to transfer sufficient energy out to freeze.
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Today's Featured Article - The David Brown Rose Badge - by Samuel Kennedy. In the 13th century civil war was raging in England. Two English noblemen were involved in a conflict which became known as the War of the Roses. The Duke of York had as his emblem a white rose and the Earl of Lancaster had a red rose. Today the white rose is the official emblem of the county of Yorkshire and the red rose has been adopted by the neighboring county of Lancashire.
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