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Heat is supplied to a certain homogeneous sample of matter, at a uniform rate. Its temperature is plotted against time, as shown. Which of the following conclusions can be drawn?

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Its specific heat capacity is greater in the solid than in the liquid state

Its specific heat capacity is greater in the liquid state than in the solid state

Its latent heat of vaporization is greater than its latent heat of fusion

Its latent heat of vaporization is smaller than its latent of fusion.

answer is B, C.

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Detailed Solution

$d Q = m C d T$

$H d t = m C d T$

$∴$ $C = (\frac{H}{m}) \frac{1}{(d T / d t)}$

As $\frac{d T}{d t}$ of CD is smaller, so $C_{l i q u i d} > C_{s o l i d}$

$Q_{1} = H (Δ t_{1})$ and $Q_{2} = H (Δ t_{2})$

As $Δ t_{2} > Δ t_{1}, ∴ Q_{2} > Q_{1}$ .

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