A kettle contains of water at an initial temperature of

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A kettle contains

1.5\,\text{L}

of water at an initial temperature of

15\,^\circ\text{C}

. The kettle is supplied with energy at a rate of

1.5\,\text{kW}

. The specific heat capacity of water is

4.2\,\text{kJ kg}^{-1}\,^\circ\text{C}^{-1}

, and its specific latent heat of vaporisation is

2.3\,\text{MJ kg}^{-1}

. Calculate the time taken for all the water to boil away. Assume no energy is lost to the kettle or surroundings.