A metal piece weighing $$15$$ g is heated to $$1000C$$ and then immersed in a mixture of ice and water at the thermal equilibrium. The volume of the mixture is found to be reduced by $$0.15$$ $$cm3$$ with the temperature of mixture remaining constant. Find the specific heat of the metal. Given specific gravity of ice $$=$$ $$0.92$$, specific gravity of water at $$00C$$ $$=$$ $$1.0$$, latent heat of fusion of ice $$=$$ $$80$$ $$cal-g-1$$

Question

A metal piece weighing $$15$$ g is heated to $$1000C$$ and then immersed in a mixture of ice and water at the thermal equilibrium. The volume of the mixture is found to be reduced by $$0.15$$ $$cm3$$ with the temperature of mixture remaining constant. Find the specific heat of the metal. Given specific gravity of ice $$=$$ $$0.92$$, specific gravity of water at $$00C$$ $$=$$ $$1.0$$, latent heat of fusion of ice $$=$$ $$80$$ $$cal-g-1$$

Infinity Learn · Accepted Answer

mρ$$ice-m$$ρ$$H2o$$ $$=$$ $$0.15m$$ $$=$$ $$0.15$$×$$0.920.08$$∴     Hlost $$=$$ Hgained   ⇒ $$15$$×S×$$100$$ $$=$$ $$0.15$$×$$0.920.08$$×$$80S$$ $$=$$ $$0.092$$ $$cal/gm0C$$

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