Question

A piece of cast-iron of mass 325 g is put into a calorimeter filled with melting ice. Find the quantity of ice that melts up to the time thermal equilibrium is established if the volume of the cast-iron was 48cm3 when put into the calorimeter. The density of cast-iron at 0°C is 6.8 g/cm3 ; its specific heat is 0.12, the coefficient of cubical expansion of cast-iron is 0.33 X 10-4/°C.

Answer 1

Explanation:

The density of the cast-iron at the instant it is placed into the calorimeter d = m/V is related to its density d0 at 0°C by the equation d = d0/(1 + βt). If d and d0 are known, the temperature of the cast-iron is given by

where β is the coefficient of cubical expansion of the cast-iron, m and V are the mass and volume at the time it is placed into the calorimeter. The quantity of ice melted is determined from the heat balance equation:

M = mCt/q

where C is the specific heat of the cast-iron and q is the latent heat of fusion of water.