Question

Newton's law of cooling is used in laboratory for the determination of the__________.

Answer 1

Newton's law of cooling

1. It states that the rate of loss of heat of a body, $\frac{-dQ}{dt}$ is directly proportional to the temperature difference between the body and its surroundings. That is, $$\begin{gathered} \frac{-dQ}{dt}\propto T-T_o \\ \Rightarrow -ms\frac{dT}{dt}=k(T-T_o) \end{gathered}$$
2. Where $k$ is the proportionality constant, $m$ is the mass, $s$ is the specific heat and $T$ is the temperature of the body, $T_o$ is the surrounding temperature and $t$ is the time.
3. Knowing $m,\frac{dT}{dt},k,Tand{T}_o$, we can calculate $s$.

Hence, Newton's law of cooling is used in laboratory for the determination of the specific heat of the liquids.