MHT CET202519 Apr 2025Evening ShiftChemistryIonic EquilibriumActual
What is the value of K _ sp for saturated solution of Ba ( OH )₂ having pH 12 ?
Options
- A4 10⁻⁴
- B4 10⁻⁶
- C5 10⁻⁶
- D5 10⁻⁷
Correct answer
D. 5 10⁻⁷
Step-by-step solution
Determining K_ sp for barium hydroxide Given the solution pH of 12, the pOH is calculated as pOH = 14 - 12 = 2 . The hydroxide ion concentration is [ OH ^-] = 10⁻² , M . From the dissociation equilibrium: Ba(OH)₂(s) Ba²⁺(aq) + 2OH^-(aq) The stoichiometry indicates [ Ba ²⁺] = 1 2 [ OH ^-] = 5 10⁻³ , M . The solubility product is then: K_ sp = [ Ba ²⁺][ OH ^-]^2 = (5 10⁻³)(10⁻²)^2 = 5 10⁻⁷ This matches option D.