A200.0-g copper cylinder at 500°c is placed on a large block of ice at 0.00°c. assume that no energy is transferred to the surroundings.
what is the mass of the ice that will melt?
the specific heat of copper is 385 j/kg•°c.

0.115 kg

Explanation:

Since no energy is transferred to the surroundings, all the heat from the copper is used to melt the block of ice. So we can write:

where:

is the mass of the copper

Cc = 385 J/kg•°C is the specific heat of copper

is the change in temperature of the copper (the copper stops to give heat to the ice when they are in thermal equilibrium, so when they have reached the same temperature)

is the mass of ice

is the latent heat of fusion of ice

Solving the equation for the mass of the ice, we find