Derive Newton's law of cooling to show that the rate of loss of heat from the body is
proportional to the temperature difference between the body and its surroundings.
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Newton's law of cooling. Newton's law of cooling states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its surroundings. ... This equation has a solution that specifies a simple negative exponential rate of temperature-difference decrease, over time
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Derivation of Newton's Law of Cooling from Stefan's Law:
∴ T = To + x. Where E & Eb, are the emissive powers of the body and perfectly black body respectively. Therefore, for given body, As x /To is small so higher powers of x /To will be very small and hence those terms can be neglected.
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