J.R. S. answered 02/17/23
Ph.D. University Professor with 10+ years Tutoring Experience
Ba(OH)2 ==> Ba2+ + 2OH- .. complete dissociation
molar mass Ba(OH)2 = 171.3 g / mol
moles Ba(OH)2 = 3.09 mg x 1 g / 1000 mg x 1 mol / 171.3 g = 1.804x10-5 mols Ba(OH)2
moles OH- = 1.804x10-5 mols Ba(OH)2 x 2 mol OH- / mol Ba(OH)2 = 3.608x10-5 mols OH-
Since we have 1 L of solution, [OH-] = 3.608x10-5 M
pOH = -log [OH-] = -log 3.608x10-5 = 4.44
pH = 14 - 4.44
pH = 9.56