A solid material is supplied with heat at a c | vedclass

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(D) The graph shows the temperature versus heat input for a substance.$OA$: The temperature increases while the substance is in the solid state.$AB$:

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inverse of heat capacity of vapour

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(D) The graph shows the temperature versus heat input for a substance.$OA$: The temperature increases while the substance is in the solid state.$AB$: The temperature remains constant,indicating a phase change from solid to liquid (melting).$BC$: The temperature increases while the substance is in the liquid state.$CD$: The temperature remains constant,indicating a phase change from liquid to gas (boiling).$DE$: The temperature increases while the substance is in the gaseous phase. Since the rate of heat supply is constant,the slope of the temperature-heat graph is given by $\frac{dT}{dQ} = \frac{1}{ms}$,where $m$ is the mass and $s$ is the specific heat capacity. Thus,the slope is inversely proportional to the heat capacity $(ms)$. However,in the context of such problems,the slope represents the reciprocal of the heat capacity of the substance in that phase. Given the options,$D$ is the most appropriate description as the slope is $\frac{1}{ms}$.

$A$ solid material is supplied with heat at a constant rate. The temperature of the material changes with heat input as shown in the figure. What does the slope of $DE$ represent?

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