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Sagot :
Based on the calculations, the molar solubility of AgCl in 0. 500 M of NH₃ is equal to 2.77 × 10⁻² M.
Given the following data:
- Ksp of mg(oh)₂ = 1.8 × 10⁻¹⁰
- Concentration of NH₃ = 0.500
- Kf of ag(nh₃)₂⁺ = 1.7 × 10⁷
How to determine the molar solubility.
First of al, we would write the properly balanced chemical equation for this chemical reaction:
[tex]AgCl(s)\rightleftharpoons Ag^{+} (aq)+ Cl^{-}(aq)[/tex] Ksp = 1.8 × 10⁻¹⁰
[tex]AgCl(s) + 2NH_3(aq)\rightleftharpoons Ag(NH_3)_2^{+}(aq)[/tex] Kf = 1. 7 × 10⁷
K = Ksp × Kf
K = 1. 80 × 10⁻¹⁰ × 1.7 × 10⁷
K = 3.06 × 10⁻³
Mathematically, the Ksp for the above chemical reaction is given by:
[tex]K=\frac{ [Ag(NH_3)_2^{+}][Cl]}{[NH_3]^2}\\\\3.06 \times 10^{-3}=\frac{[x][x]}{0.50^{2 }}\\\\3.06 \times 10^{-3}=\frac{x^2}{0.25}\\\\x^2 = 7.65\times 10^{-4}\\\\x=\sqrt{7.65\times 10^{-4}}[/tex]
x = 2.77 × 10⁻² M.
Read more on solubility here: https://brainly.com/question/3006391
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