J.R. S. answered 10/29/19
Ph.D. University Professor with 10+ years Tutoring Experience
H2SO4 + 2NaOH ==> Na2SO4 + 2H2O
moles H2SO4 present = 0.020 L x 0.26 mol/L = 0.0052 moles
moles NaOH needed for complete neutralization (to 2nd equivalence) = 0.0052 mol H2SO4 x 2 mol NaOH/mole H2SO4 = 0.0104 moles NaOH needed
Volume of NaOH needed: (x L)(0.287 mol/L) = 0.0104 moles
x = 0.0362 L
x = 36.2 mls = 36 mls NaOH needed (to 2 significant figures)