The theoretical density of AB(s) in kg/m3 is — Solid State Chemistry Question

💡 Solution & Explanation

Minimum distance d = r+ + r- = y^(1/3) nm = y^(1/3) * 10^-9 m. Cell edge a = 2*d = 2 * y^(1/3) * 10^-9 m => a^3 = 8 * y * 10^-27 m3. Theoretical density ρ = (Z * M) / (Na * a^3) = (4 * 6.023 * y * 10^-3 kg/mol) / (6.023 * 10^23 * 8 * y * 10^-27 m3) = 5.0 kg/m3.