## Elementary Applications

## Newton's Law of Cooling

*Newton's Law of Cooling* states that the temperature of a body changes at a rate proportional to the difference in temperature between its own temperature and the temperature of its surroundings.

We can therefore write

$\dfrac{dT}{dt} = -k(T - T_s)$

where,*T* = temperature of the body at any time, *t**T _{s}* = temperature of the surroundings (also called ambient temperature)

*T*= initial temperature of the body

_{o}*k*= constant of proportionality

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