A rigid cube (each side is 0.10 m) is filled with water and frozen solid. When water freezes its volume expands about 9%. How mu ch pressure is exerted on the sides of the cube? Hint: Imagine trying to squeeze the block of ice back into the original cube.
1 answer:
Answer:
P = 1.89 10⁸ N / m²
Explanation:
To solve this problem we can use the definition of bulk modules
B = - P / (ΔV/V)
The negative sign is entered for the volume module to be positive, P is the pressure and ΔV/V is the volume change fraction
In this case the volume change is 9% this is
ΔV / V 100 = 9%
ΔV / V = 0.09
P = B ΔV / V
The bulk modulus value is that of water since it is in a liquid state and then freezes
B = 0.21 101¹⁰ N / m²
let's calculate
P = 0.21 10¹⁰ 0.09
P = 1.89 10⁸ N / m²
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