Question

How much energy must be removed from a 500 g block of ice to cool it from 0∘c to -35 ∘c? the specific heat of ice is 2090 jkg⋅k?

Answer 1

The quantity of heat (i.e. energy) needed to change the temperature of a substance by a certain $\Delta T$ is
$Q=m C_S \Delta T$
where m is the mass of the block of ice, m=500 g=0.5 Kg, $C_S=2090~J Kg /K$ is its specific heat, and $\Delta T = 35~K$. Using these data, we obtain
$Q=36575~J = 36.6~kJ$
and this is the energy we must remove.