The equation for the reaction is
H2SO4 + 2 LiOH ---> Li2SO4 + 2 H2O
We have n(H2SO4) = cV = 0.0500 x 50.00 x 10-3 = 2.50 x 10-3 mol
And n(LiOH) = cV = 0.200 x 30.00 10-3 = 6.00 x 10-3 mol
And n(LiOH) used to neutralise H2SO4 = (2 / 1) x 2.50 x 10-3 = 5.00 x 10-3 mol
So, n(LiOH) after reaction = n(LiOH) initially - n(LiOH) reacted = 6.00 x 10-3 - 5.00 x 10-3 = 1.00 x 10-3 mol
So, after reaction, [OH-] = [LiOH] = n / V = 1.00 x 10-3 / [(50.00 + 30.00) x 10-3] = 0.0125 mol L-1 (3 sig fig)
So, assuming the temperature is 25 degC, pH = 14 + log_10 [OH-] = 12.097 (3 dec. pl.)
So, the answer is B.
The above response has the reaction of sulfuric acid and lithium hydroxide as 1:1, leading to an incorrect answer.