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RoughRoad
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I read it in my book that Newton's law of cooling can be derived from Stefan's law. Is it possible, and if so, how?
Newton's law of cooling from Stefan's law is a mathematical relationship that describes the rate at which an object cools down or loses heat to its surroundings. It states that the rate of heat loss is proportional to the difference in temperature between the object and its surroundings.
Newton's law of cooling from Stefan's law takes into account the surface area and emissivity of the object, while Newton's law of cooling only considers the temperature difference between the object and its surroundings. This makes Newton's law of cooling from Stefan's law more accurate for objects with different surface areas and materials.
Stefan's law, also known as the Stefan-Boltzmann law, is a fundamental law of physics that describes the total amount of radiation emitted by a blackbody object at a given temperature. It states that the rate of energy emitted is proportional to the fourth power of the object's absolute temperature.
Newton's law of cooling from Stefan's law is used in various applications, such as in the design of cooling systems for electronic devices, refrigerators, and air conditioning units. It is also used in meteorology to predict the rate at which the Earth's surface cools down at night.
Newton's law of cooling from Stefan's law assumes that the surrounding temperature remains constant, which may not always be the case in real-life situations. It also only applies to objects that are much larger than the wavelengths of radiation they emit. Additionally, it does not account for other factors that may affect the rate of heat loss, such as wind or humidity.