The graph given below shows heat energy supplied against change in temperature when no energy is lost to the surrounding. The slope of this graph will give :

1. Specific heat capacity
2. Latent heat of fusion
3. Latent heat of vaporization
4. Heat capacity

Heat capacity

Reason — When no energy is lost to the surrounding, the amount of heat energy supplied is directly proportional to the change in temperature △t i.e.

$\text Q ∝ △\text t\\[1em] \text {or} \\[1em] \text Q = \text {mc} △\text t$

Where,

m : mass of a substance

c : specific heat capacity of the substance

So,

$\dfrac {\text Q}{△\text t} = \text {mc} \\[1em] \text {Slope of Q vs △\text t graph} = \dfrac {\text Q}{△\text t} = \text {mc}$

And mc is the heat capacity (C) of the body

Hence, slope of Q vs △t graph gives the value of the heat capacity.