Question

State and Derive Expression for Newton's Law of Cooling.

Answer 1

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 provided the temperature difference is small and the nature of radiating surface remains same.

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Answer 2

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).

Newton's Law makes a statement about an instantaneous rate of change of the temperature.

We will see that when we translate this verbal statement into a differential equation, we arrive at a differential equation.

The solution to this equation will then be a function that tracks the complete record of the temperature over time.