The temperature of boiling water remains constant because the heat added will only change the liquid state of water into gaseous vapor state.
Once the water starts boiling, the addition of heat into the water will not change it's temperature. Heat energy will only increase the kinetic energy of the molecules.
The boiling point of water is 100°C at 1 atmospheric pressure. At this temperature water exist in vapor-liquid state. The more you provide heat, more water will turn into the vapor state keeping the overall temperature constant. The boiling point of water may vary depending upon the atmospheric temperature.
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