firstly molarity is defined as moles of solute per litre solution
2KOH + H2SO4 -> K2SO4 + 2H2O
Moles of solute (K2SO4):
n=m/M
=112/(39+16+1)
=2 moles KOH
n=0.5mol/L*.5Litres=0.25 mol H2SO4
since the molar ratio of KOH to H2SO4 is 2:1, our limiting reagent is H2SO4 because we have less than half the moles of KOH of H2SO4.
Since we have 0.25 mol H2SO4, using the balanced equation we find that we get 0.25 mol K2SO4. (1:1 molar ratio H2SO4:K2SO4)
Litres solution:
We have a 500 mL or .5 L solution as seen in the problem
Final Calculation:
Molarity K2SO4 =mol K2SO4/Litres Solution
=.25molK2SO4/.5Litres solution
=.125 (mol/L)
I'm pretty sure that's how it's done, let me know what you think