Answer:
The correct answer should be 12.72 pH of the mixed solution and 9.94g mass of solid BASO4 formed.
The molecules of Ba(OH)2 are : 1.00M x 0.05L = 0.05 ( moles )
The molecules of H2SO4 are : 0.494M x 0.0864L = 0.0426816
Ba(OH)2 + H2SO4 ----> BaSO4 + 2 H2O
0.0426816<--- 0.0426816
The mixed solution is Ba(OH)2 with 0.05 - 0.0426816 = 0.0073184
The concentration of mixed solution is : 0.0073184 : ( 0.05 + 0.0864 ) = 0.054 M
The pH of mixed solution is 14 - -log[0.054] = 14 - 1.27 = 12.73 PH
And the mass of BaSO4 is 0.0426816 x ( 137 + 32 + 16 x 4 ) = 9.94 gams.