Most microwave ovens emit electro-magnetic radiation with a wavelength () of 12.24 cm. This EM- radiation is used to heat stuff up, like food, and it is emitted at a rate of 6.30 × 1026 photons/second for a typical microwave. How long will it take to boil a 175.0 mL cup of water initially at 25.5 ºC (water boils at 100.0 ºC) if 45.0% of the photons emitted by the microwave oven are absorbed by the water?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Most microwave ovens emit electro-magnetic radiation with a wavelength () of 12.24 cm. This EM-
radiation is used to heat stuff up, like food, and it is emitted at a rate of 6.30 × 1026 photons/second for a
typical microwave. How long will it take to boil a 175.0 mL cup of water initially at 25.5 ºC (water boils at
100.0 ºC) if 45.0% of the photons emitted by the microwave oven are absorbed by the water? My answer does not even make any sort of rational sense...

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Isn't the heat capacity for water 4.184 not 4200?

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