How is newton law of cooling is related from stefan law of thermal radiation of 1?
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Newton's law of cooling is valid for heat transfer via conduction only and does not hold good for heat transfer via convection or radiation. On the other hand, Stefan- Boltzmann law states that: “The heat 'radiated' by a body, per unit area, per unit time is directly proportional to the fourth power of temperature.”
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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).
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.