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Newton's Law of Cooling states that the rate of change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature (i.e. the temperature of its surroundings).
  • As energy istransferredfrom the heat source to the heat sink, the temperatures of the source and the sink change of course. Because heat capacity is not strictly a linear function of temperature, the proportionality "constant" is in fact not constant but rather also a function of temperature.
  • Also, for large differences of temperature where the surroundings are some kind of fluid, significant convection occurs - which again will change the cooling rate in non- linear ways. For very small differences of temperature, the convection is not significant.
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Q: Why newtons law of colling holds good only for small difference of temperature?
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