Question

A substance is in the solid form at $0^{o}C$. The amount of head added to this substance about its temperature are plotted in the following graph. If the relative specific heat capacity of the solid substance is $0.5$ find from the graph
(i) the mass of the substance
(ii) the specific latent heat of the melting process and
(iii) the specific heat of the substance in the liquid state.

Answer 1

$\left(i\right)\text{The mass of the substance}$

$\theta =ms\Delta TS=0.5\times \perp$
$1000=m\times \perp \times .5\times 80$
$m=25g$
$\theta =mS\Delta T\Delta =80-0=80$
$800=m\times 1.5\times 80$
$m=20g$

$\left(ii\right)\text{Latent Heat}$ $=\frac{HeataddedfromA-B}{m}=\frac{1600-800}{20}$
$=\frac{800}{20}=40$

$=40$ calories $/gm$

$\left(iii\right)\text{The specific heat of the substance in the liquid state}$
$\theta =mS\Delta T$
from $B\to C$ (Liquid state)
$600=20\times S\times (120-80)$
$S=.75$ calories $/gmc$