When water is heated from 15 to 100 degrees C, its internal energy increases by 178.8 kJ

When water is heated from 15 to 100 degrees C, its internal energy increases by 178.8 kJ Find the mass of heated water

Initial data: t0 (water temperature before heating) = 15 ºС; t (final heating temperature) = 100 ºС; Q (increase in the internal energy of water) = 178.8 kJ = 178800 J.

Reference values: C (specific heat capacity of water) = 4200 J / (kg * K).

The mass of heated water is determined from the following formula: Q = C * m * (t – t0), whence m = Q / (C * (t – t0)).

Let’s calculate: m = 178800 / (4200 * (100 – 15)) = 0.5 kg.

Answer: The mass of water is 0.5 kg.