The value of ksp for silver carbonate, ag2co3, is 8.10×10−12. calculate the solubility of ag2co3 in grams per liter.

Verified Answer :

znk

Answer:  

0.0349 g/L  

Explanation:  

Let s = the molar solubility.  

                     Ag₂CO₃(s) ⇌ 2Ag⁺(aq) + CO₃²⁻(aq); \(K_{sp}\) = 8.10 × 10⁻¹²

E/mol·L⁻¹:                                2s                 s  

\(K_{sp}\) =[Ag⁺]²[CO₃²⁻] = (2s)²×s = 4s^3 = 8.10 × 10⁻¹²  

\(s^{3}= \frac{8.10 \times 10^{-12}}{4} = 2.025 \times 10^{-12}\)

\(s = \sqrt[3]{2.025\times 10^{-12}} \text{ mol/L}= 1.27 \times 10^{-4} \text{ mol/L}\)

\(s = 1.27 \times 10^{-4} \text{ mol/L} \times 275.75 \text{ g/mol} = \text{0.0349 g/L}\)