# explain the concept of newtons law of cooling and its applications

Arun
25758 Points
4 years ago

Newton’s law of cooling describes the rate at which an exposed body changes temperature through radiation which is approximately proportional to the difference between the object’s temperature and its surroundings, provided the difference is small, i.e.,

$\frac{dT}{dt}\alpha&space;(T_{t}-&space;T_{s})$

The Newton’s law of cooling is given by,

dT/dt = k(T– Ts)

Where

Tt = temperature at time t and

Ts = temperature of the surrounding,

k = constant.

The Newton’s Law of Cooling Formula is expressed by

T(t) = Ts + (T0 – Ts) e-Kt

Where,

t = time,

T(t) = temperature of the given body at time t,

Ts = surrounding temperature,

To = initial temperature of the body,

k = constant.

Please note that greater the difference in temperature between the system and surrounding, more rapidly the body temperature changes.