Derive an expression for the fraction of ice

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A container of pure water is set outside on a cold night and supercools to a temperature T [Celsius] without freezing. Once it is disturbed, however, ice crystals form and rapidly spread throughout the container until all that remains is a fairly uniform ice-water slush with temperature of 0 Celsius.

(a) Derive an expression for the fraction of ice in the resulting mixture as a function of the initial temperature T.

(b) It is impossible to supercool pure water to less than about -40 Celsius without it spontaneous freezing. Therefore, what is the maximum fraction of ice that can be achieved from supercooled water without additional cooling?

Reference no: EM132448071

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