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9 December, 10:54

You want a pot of water to boil at 105celcius. How heavy a

lid should you put on the 15 cm diameterpot when Patm =

101 kPa?

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Answers (1)
  1. 9 December, 10:55
    0
    36 kg

    Explanation:

    For water to boil at 105 C it needs a pressure of 121 kPa (this is the vapor pressure of water at 105 C).

    In the lid there will be a difference of pressure from one side to the other, this will be compensated by the weight of the lid.

    Δp = pwater - patm

    Δp = 121 - 101 = 20 kPa

    The pressure caused by the weigh of the lid is:

    Δp = w / A

    Δp = m * g / A

    Rearranging

    m = Δp * A / g

    m = Δp * π/4 * d^2 / g

    m = 20000 * π/4 * 0.15^2 / 9.81 = 36 kg
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