A2 Daily A Level Physics question

Two 1.0 kg samples, one aluminium and one water, start at the same temperature. Each is heated by an identical 200 W heater for 100 s. The specific heat capacity of water is four times that of aluminium. Which statement must be true about their temperature rises after 100 s? Give a reason.

1. A They increase by the same amount, because both receive the same energy.
2. B Water’s temperature increase is four times aluminium’s, because water has the larger specific heat capacity.
3. C Aluminium’s temperature increase is four times water’s, because with equal mass and energy, temperature rise is inversely proportional to specific heat. (correct)
4. D Aluminium’s temperature increase is sixteen times water’s, because the ratio combines with the equal power and time.