Water weighing 1.5 kg is brought to a boil in a kettle with a power of 2 kW, having an efficiency of 84%.

Water weighing 1.5 kg is brought to a boil in a kettle with a power of 2 kW, having an efficiency of 84%. How long will it take to heat up if the initial water temperature is 20 degrees?

Task data: m (water mass) = 1.5 kg; N (kettle power, consumed power) = 2 kW (2 * 103 W); η (kettle efficiency) = 84% (0.84); t0 (initial water temperature) = 20 ºС.

Reference data: t (boiling point of water) = 100 ºС; Sv (specific heat of water) = 4200 J / (kg * K).

The duration of heating the water in the kettle is expressed from the formula: η = An / Az = Sv * m * (t – t0) / (N * t), whence t = Sv * m * (t – t0) / (η * N).

Calculation: t = 4200 * 1.5 * (100 – 20) / (0.84 * 2 * 103) = 300 s (5 min).



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