Newton’s Law of Cooling Formula
Newton’s Law of Cooling Formula is a formula for calculating the temperature of a material as it loses heat to its surrounding through radiation.
According to Newton’s law of cooling,
The rate of loss of heat (– dQ/dt) of the body is directly proportional to the difference in temperature [ΔT = (T2 – T1)] of the body and the surroundings.
We can represent it as,
– dQ/dt ∝ (T2 – T1)
– dQ/dt = k(T2 – T1)
where,
k is a proportionality constant
Solving the above differential equation we get,
T(t) = Ts + (To – Ts) e-kt
where,
t is the time
T(t) is the temperature of the Body at time t
Ts is the surrounding temperature
To is the Initial temperature of the body
k is the proportionality constant
Newton’s Law of Cooling
Newton’s Law of Cooling is the fundamental law that describes the rate of heat transfer by a body to its surrounding through radiation. This law state that the rate at which the body radiate heats is directly proportional to the difference in the temperature of the body from its surrounding, given that the difference in temperature is low. i.e. the higher the difference between the temperature of the body and its surrounding the more heat is lost and the lower the temperature the less heat is lost. Newton’s Law of Cooling is a special case of Stefan-Boltzmann’s Law.
In this article, we will learn about, Newton’s Law of Cooling, Newton’s Law of Cooling Formula, its Derivation, Examples, and others in detail.
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