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Mpemba effect

The Mpemba effect is the somewhat surprising phenomenon whereby hot water can, under certain conditions, freeze faster than cold water.

The effect is named for its rediscoverer, the Tanzanian high-school student Erasto B. Mpemba, in 1963 after observing the freezing of ice cream in cookery classes; he published experimental results with Dr. Denis G. Osborne in 1969. At first sight, the effect is contrary to Newton's law of cooling. However, it has been widely reproduced though it is still poorly understood. The effect is not universal under all experimental conditions, so its exact requirements have proved difficult to specify.

It is believed that the effect arises from some interaction between:

  • Evaporation reducing the volume to be frozen
  • Effect of boiling on dissolved gases and ions (lime scale formation). The more dissolved material the lower the freezing point and more time required to freeze.
  • Convection
  • Effects from surroundings such as the insulating effects of frost
  • Supercooling, initially hot water may be less likely to supercool than cold water. Therefore ice formation occurs at different final temperatures in hot and cold water.
  • Different definitions of the term "freezing". Is it the physical definition of the point at which water reaches 0 C, or the point at which the water forms a visible surface layer of ice, or the point at which the entire volume of water becomes a solid block of ice?
  • The material freezing in question. Mpemba's inital observations were with ice cream mixtures, not water. The anecdotal evidence for the Mpemba effect came from a variety of ice cream manufacterers and the food processing industry worldwide, for a variety of water containing foodstuffs.

The effect was known to ancient and medieval scientists such as Aristotle, Francis Bacon and René Descartes. Aristotles's explanation was that this was due to a physical property he called antiperistasis, defined as "the supposed increase in the intensity of a quality as a result of being surrounded by its contrary quality". He used the concept of antiperistasis to prove that human bodies and bodies of water were hotter in the winter than in the summer, a prediction that was later disproved by Medieval and Renaissance observations. As the explanations of the freezing effect lacked a testable theory, modern science had reduced the observations to folklore.

Mpemba's story is often given as a cautionary parable to those who reject theories or experiments solely because they seem counterintuitive, or contradict accepted theories, or because their proponent is not an expert. In the six years between Mpemba's discovery and his publication, his ideas were rejected on a number of occasions by his physics teachers and other authorities, and it was only the reproducibility of the effect by himself and others that drove Mpemba to persist against this resistance.

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