MHT CET202526 Apr 2025Evening ShiftChemistryIonic EquilibriumActual
The solubility product of salt B ₂ ~A is 3.2 10⁻¹¹ at 298 K . What is solubility of the salt at same temperature ?
Options
- A5.52 10⁻⁵ ~mol~ dm ⁻³
- B4.92 10⁻⁴ ~mol~ dm ⁻³
- C2.00 10⁻⁴ ~mol~ dm ⁻³
- D3.52 10⁻⁵ ~mol~ dm ⁻³
Correct answer
C. 2.00 10⁻⁴ ~mol~ dm ⁻³
Step-by-step solution
The salt is B ₂ A , which dissociates in water as B ₂ A(s) 2 B ^+ (aq) + A ²⁻ (aq) . Let s represent the molar solubility. From stoichiometry, [ B ^+] = 2s and [ A ²⁻] = s . The solubility product is K_ sp = [ B ^+]^2 [ A ²⁻] = (2s)^2(s) = 4s^3 . Given K_ sp = 3.2 10⁻¹¹ , solving yields 4s^3 = 3.2 10⁻¹¹ s^3 = 3.2 10⁻¹¹ 4 = 8 10⁻¹² s = (8 10⁻¹²)^ 1/3 = 2 10⁻⁴ mol , dm ⁻³ . This value corresponds to option C . The answer is C .