If pH of a saturated solution of Ba ( OH )₂ is 12 , the value of its K_ s p is

Step-by-step solution

Given, pH of Ba ( OH )₂=12 aligned [ H ⁺ ] & = [1 10⁻¹² ] and [ OH ⁻ ] & = 1 10⁻¹⁴ 1 10⁻¹² [ [ H ⁺ ] [ OH ⁻ ]=1 10⁻¹⁴ ] aligned aligned &=1 10⁻² ~mol / L & Ba ( OH )₂ Ba ²⁺+2 OH ⁻ & K _ sp = [ Ba ²⁺ ] [ OH ⁻ ]^2 &=[ s ][2 ~s ]^2 &= [ 1 10⁻² 2 ] (1 10⁻² )^2 &=0.5 10⁻⁶=5.0 10⁻⁷ M ^3 aligned