An electric kettle is filled with `1.3 kg` of water at `20^(@)C`. The power of the heating coil of the kettle is 2.0 KW. After switching it on the water begins to boil in `220s` . If the kettle was kept on for a further interval of `Delta t` it was observed that only 200g water remained in the kettle and remaining water vaporized (the vapor is allowed to escape through a small vent). The specific latent heat of vaporization of water at `100^(@)C` (boiling point) is `L = 2.26 KJ//g`. Calculate the specific heat capacity of water and the interval `Delta t`. Assume that heat supplied by the heater is completely absorbed by the water.
