Answer to Question #123945 in Molecular Physics | Thermodynamics for Lucy

Question

75600J of thermal energy is needed to raise the temperature of a 2.0kg block of ice removed from a freezer at −18∘C to its melting point. Calculate the specific heat capacity.

Answer 1

The thermal energy required to heat a 2-kg block from -17°C to 0°C can be expressed as

$$Q=cm(t_f-t_i),\\\space\\ c=\frac{Q}{m(t_f-t_i)}=\frac{75600}{2(0-(-18))}=2100\space\frac{\text{J}}{\text{kg°C}}$$