Convert between the solubility product Ksp and the molar solubility s of a salt AₓBᵧ: enter x, y and either of the two values.
Open in the full calculator → — with every other tool, the AI tutor and PNG export.
From the article Ksp and Solubility — Converting Between Them Correctly.
Ksp(AgCl) = 1.8 × 10⁻¹⁰ at 298 K. Find the molar solubility and the solubility in g/L.
AgCl ⇌ Ag⁺ + Cl⁻, so [Ag⁺] = [Cl⁻] = s and Ksp = s²
s = √(1.8 × 10⁻¹⁰) = √1.8 × 10⁻⁵ = 1.342 × 10⁻⁵ M
M(AgCl) = 107.868 + 35.45 = 143.32 g mol⁻¹
Solubility = 1.342 × 10⁻⁵ × 143.32 = 1.92 × 10⁻³ g/L
s = 1.34 × 10⁻⁵ M, i.e. about 1.9 mg per litre.
Note the square-root trick: split 1.8 × 10⁻¹⁰ into 1.8 × (10⁻⁵)² so the exponent is even and comes out cleanly.
Worked in full in Ksp and Solubility — Converting Between Them Correctly.
This is one of the tools in the Chemistry Calculator Suite, a free calculator built for IIT-JAM, CSIR-NET, GATE and CUET (Chemical Science) preparation. Nothing is behind a login and no result is stored on a server — the arithmetic runs in your own browser.
The K sp ↔ Solubility calculator above is the live tool — type your values and press its button; the answer appears in the same box. The link under it opens the full suite with this tool already selected, next to the others.