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The reaction given:

2KOH + H2SO4 = K2SO4 + 2H2O

As 1 L = 1dm3 and 1 ml = 1 cm3, the number of moles of the reactants equals:

n(KOH) = M × V = 0.09 mol/L × 100 mL = 0.009 mol

n(H2SO4) = M × V = 0.1 mol/L × 120 mL = 0.012 mol

Since 2 mol of KOH are needed to neutralize 1 mole of acid, the number of moles of the acid left in the solution equals:

n(H2SO4) = 0.012 mol - (0.009 / 2) = 0.0075 mol

The concentration of H+ ions equals:

[H+] = (2 × 0.0075 mol) / (100 ml + 120 ml) = 0.068 M

From here, pH of the solution is:

pH = -log[H+] = 1.17 M

pOH = 14 - 1.17 = 12.83

From here:

[OH-] = 10-12.83 = 1.5 × 10-13 M

Answer: 1.5 × 10-13 M

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