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22 March, 02:06

Calculate the coulombic force of attraction between ca2 + and o2 - in cao, which has the nacl-type structure

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  1. 22 March, 05:56
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    We determine the Coulombic force using the Coulomb's Law:

    F = kQ₁Q₂/d²

    where

    k is equal to 9*10⁹ N·m²/C²

    Q₁ and Q₂ are the charges of the two particles

    d is the distance between them

    For this problem, Q₁ = + 2 (0.16*10⁻¹⁸ C) and Q₂ = - 2 (0.16*10⁻¹⁸ C), because a single electron or proton has a charge of 0.16*10⁻¹⁸ C. The distance between the two ions is the sum of their radii.

    d = radius of Ca²⁺ + radius of O²⁻

    d = 0.106*10⁻⁹ m + 0.132*10⁻⁹ m

    d = 0.238*10⁻⁹ m

    F = (9*10⁹ N·m²/C²) (+2 (0.16*10⁻¹⁸ C)) (-2 (0.16*10⁻¹⁸ C)) / (0.238*10⁻⁹ m) ²

    F = 1.017*10¹¹ N
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