Newton's law of cooling is a physical law that describes the rate at which an object cools down when placed in a different temperature environment.
The law states that the rate of cooling of an object is directly proportional to the temperature difference between the object and its surroundings. This means that the larger the temperature difference, the faster the object will cool down.
The formula for Newton's law of cooling is T(t) = Ts + (T0 - Ts)e-kt, where T(t) is the temperature of the object at time t, Ts is the temperature of the surroundings, T0 is the initial temperature of the object, and k is a constant determined by the properties of the object and its surroundings.
Newton's law of cooling assumes that the temperature difference between the object and its surroundings is constant, the object is in a well-mixed environment, and there is no heat generated or lost by the object. These assumptions may not hold true in real-world situations, leading to deviations from the predicted cooling rate.
Newton's law of cooling can be applied in various everyday situations, such as cooking, heating and cooling systems, and refrigeration. It is also used in fields like meteorology and food preservation to understand and predict temperature changes. Additionally, it has practical applications in industries like engineering and materials science.