Theoretical max. pressure of a given quantity of water freezing to ice

AI Thread Summary
The discussion centers on calculating the maximum pressure exerted by freezing water in rock crevices, which contributes to erosion. At a temperature of 263.15 K, the densities of ice and water are provided as 0.9 g/cm³ and 1.0 g/cm³, respectively. The volume change during freezing is noted to be 20 cm³ for 1 mole of water, with a ΔV of 2 cm³. Participants express uncertainty in relating the change in volume to pressure due to a lack of information on the geometry and area involved. The conversation highlights the complexity of determining the force exerted by expanding ice and its implications for rock erosion.
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Homework Statement



Water in rock crevices often causes erosion when it freezes, given it expands and exerts pressure on the rock. What is the maximum pressure that water can exert when it freezes?

T = 263.15 K
dice @ 263.15 K = 0.9 g cm3
dwater @ 263.15 K = 1.0 g cm3

Homework Equations



Force = Pressure x Area

Perhaps?...

The Attempt at a Solution



Assuming 1 mole of water, the volume of the ice would be 20 cm3 (ΔV = 2 cm3).

I don't know how to relate the change in volume to the pressure exerted, though. It's not like I know the geometry of the water and how much area it has to be able to use the equation in 2. Nor do I know how to determine the force exerted by the water as it expands (I know how much mass is being displaced, but don't know how to determine it's acceleration, assuming I need to use Force = Mass x Acceleration).
 
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anisotropic said:
P = force x area

That's wrong.

Not that it changes anything.
 
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