J.R. S. answered 11/06/22
Ph.D. University Professor with 10+ years Tutoring Experience
H2SO4 + 2KOH ==> K2SO4 + 2H2O ... balanced equation
moles H2SO4 = 0.550 L x 0.500 mol / L = 0.275 mols H2SO4 present
moles KOH = 0.500 L x 0.200 mol / L = 0.100 moles KOH
Since the balanced equation tells us that it takes 2 moles KOH for every 1 mol H2SO4, clearly there isn't enough KOH to react with all of the H2SO4. So, KOH is limiting and will run out, leaving H2SO4 left over.
moles H2SO4 used up = 0.100 mols KOH x 1 mol H2SO4 / 2 mols KOH = 0.0500 mols H2SO4 used
moles H2SO4 left over = 0.275 mols - 0.0500 mols = 0.225 mols H2SO4 left over
Final volume = 0.550 L + 0.500 L = 1.05 L
[H2SO4] after reaction = 0.225 mols / 1.05 L = 0.214 M