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An iron boiler of mass 180 kg contains 770 kg of water at 21 ∘C. A...

An iron boiler of mass 180 kg contains 770 kg of water at 21 ∘C. A heater supplies energy at the rate of 58,000 kJ/h. The specific heat of iron is 450 J/kg⋅C∘, the specific heat of water is 4186 J/kg⋅C∘, the heat of vaporization of water is 2260 kJ/kg⋅C∘. Assume that before the water reaches the boiling point, all the heat energy goes into raising the temperature of the iron or the steam, and none goes to the vaporization of water. After the water starts to boil, all the heat energy goes into boiling the water, and none goes to raising the temperature of the iron or the steam.

How long does it take for the water to all have changed to steam from 21 ∘C∘C?

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