Question

The ratio of heat capacity and specific heat capacity of a body gives its ____________.

Answer 1

Heat capacity:

1. Let a body absorbs $Q$ calories of heat energy and as a result, let its temperature rise by $∆{\theta }^{0}C$.
2. Then, for a rise of $1^{0}C$, the heat energy absorbed by the body is $\frac{Q}{∆\theta }$, which by definition is the heat capacity.

Specific heat capacity:

1. Specific heat capacity, $s=\frac{Q}{m\times ∆\theta }$, where $m$is the mass, $∆\theta$ is the rise in temperature and $Q$ is the heat energy absorbed by the body.

The ratio of heat capacity and specific heat capacity of a body:

1. Thus, the ratio is, $\frac{Heatcapacity}{Specificheatcapacity}=\frac{{\displaystyle \frac{Q}{∆\theta }}}{{\displaystyle \frac{Q}{m\times ∆\theta }}}=\frac{m}{1}$.
2. Hence, the ratio of heat capacity and specific heat capacity of a body gives its mass.