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27 November, 12:45

How long does it take a 750-W coffeepot to bring to a boil 0.65 L of water initially at 13 ∘C? Assume that the part of the pot which is heated with the water is made of 360 g of aluminum, and that no water boils away. Ignore the heat loss to the surrounding environment. The value of specific heat for water is 4186 J/kg⋅C∘ and for aluminum is 900 J/kg⋅C∘.

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  1. 27 November, 14:46
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    353 s

    Explanation:

    Energy = energy needed to raise the temperature of pot to 100°C +

    required energy needed to raise the temperature of water to 100°C

    = MCΔT + mcΔT

    = 0.65 kg * 4186 J/kg-°C * 87 °C + 0.36 kg * 900 J/kg-°C * 87 °C

    = 264 906.3 J

    Energy required = energy delivered * time

    264 906.3 J = 750 J/s * time

    time = 353 s
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