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16 August, 17:28

When water freezes, its volume increases by 9.05% (that is, ΔV V0 = 9.05 ✕ 10-2). What force per unit area is water capable of exerting on a container when it freezes? (It is acceptable to use the bulk modulus of water in this problem.

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  1. 16 August, 20:03
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    2.0*10⁸ N/m².

    Explanation:

    Bulk modulus, B is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume

    B = - V₀ * (Δp/ΔV)

    Given:

    ΔV/V₀ = 9.05*10⁻²

    Bw = 0.22*10¹⁰

    Δp = - B * (ΔV/V₀)

    = (0.22*10¹⁰) * (9.05*10⁻²)

    = 2.0*10⁸ N/m².
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