The molar concentration of Cl⁻ ions in a 1. 00 m solution of AgCl₂ with no excess silver ions is 0.020M.
Molar concentration of Chloride ions present in the silver chloride solution will be calculated by using the formation constant equation as:
Kf = [AgCl₂] / [Ag²⁺][Cl⁻]²
For AgCl₂ value of Kf is 2.5×10⁵.
Chemical reaction with ICE table is:
Ag²⁺(aq) + 2Cl⁻(aq) → AgCl₂
Initial: 0 0 1
Change: +x +2x -x
Equilibrium: x 2x 1-x
On putting all the values on the Kf equation, we get
2.5×10⁵ = (1-x) / (x)(2x)²
x is negligible as compared to 1 so the term 1-x becomes 1,
2.5×10⁵ = 1 / 4x³
x = 9.97 × 10⁻³ M
Concentration of chloride ions = 2x = 2(9.97 × 10⁻³) = 0.020M.
Hence the molar concentration of chloride ions is 0.020M.
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