Staying up late to study, and having no stove to heat water, you use a 200-W heater

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Staying up late to study, and having no stove to heat water, you use a 200-W heater from the lab to make coffee throughout the night. If 90% of the energy produced by the heater goes toward heating the water in your cup,

(a) How long does it take to heat 0.25 kg of water from 15 to 100oC?

(b) If you fall asleep while the water is heating, how long will it take to boil away after it reaches 100oC?

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