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hram777 [196]
3 years ago
6

gThe atomic radii of a divalent cation and a monovalent anion are 0.085 nm and 0.125 nm, respectively. (a) Calculate the force o

f attraction between these two ions at their equilibrium interionic separation (i.e., when the ions just touch one another)./homework-help/electron-subshell-filled-rare-earth-series-elements-periodic-chapter-2-problem-14qp-solution-9781118324578-exc
Chemistry
1 answer:
frozen [14]3 years ago
6 0

Answer:

1.05 × 10⁻⁸ N

Explanation:

Using Coulomb's law

F force of attraction between them = k \frac{q^{2} }{r^{2} } = k \frac{z1z2q^{2} }{r^{2} }

K coulomb constant = 8.99 × 10⁹ N m²C⁻²

Z₁ = + 2 ( valency electron)

Z₂ = -1 ( valency electron)

r is the distance between then since they just touch one another = 0.085 nm + 0.125 nm = 0.21 nm = 0.21 × 10⁻⁹ m

q charge = 1.602 × 10⁻¹⁹ C of an electron

F = ( 2 × 1 × 8.99 × 10⁹ N m²C⁻² × (1.602 × 10⁻¹⁹ C)² / ( 0.21 × 10⁻⁹ m )² = 1046.34 × 10 ⁻¹¹ = 1.05 × 10⁻⁸ N

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