198k views
1 vote
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?

User Pawegio
by
5.4k points

1 Answer

3 votes

Answer:

36 kg

Step-by-step 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

User Phil Gref
by
6.0k points