# Calorimetry

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By Expert Faculty of Sri Chaitanya
Question

# The melting temperature of a certain mass of a solid object is 20°C. When a heat Q is added to the object, its $\frac{3}{4}$material melts. When an additional amount of Q heat is added the material transforms to its liquid state at 50°C. Find the ratio of specific latent heat of fusion (in J/g) to the specific heat capacity of the liquid (in J g-1 °C-1) for the material.

Moderate
Solution

## Let the mass of the solid object be m, and specific latent heat of fusion be L ,According to problem, $\mathrm{Q}=\frac{3}{4}\mathrm{mL}$ ……..(i)$2\mathrm{Q}=\mathrm{mL}+\mathrm{ms}\left(50-20\right)$   ………(ii)From (i) and (ii), $\frac{3}{2}\mathrm{mL}=\mathrm{mL}+30\mathrm{ms}$$⇒\frac{\mathrm{L}}{2}=30\mathrm{s}⇒\frac{\mathrm{L}}{\mathrm{s}}=60$

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