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9 March, 08:55

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 much pressure is exerted on the sides of the cube? Hint: Imagine trying to squeeze the block of ice back into the original cube.

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  1. 9 March, 09:46
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    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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