J.R. S. answered 09/28/22
Ph.D. University Professor with 10+ years Tutoring Experience
Let's begin by looking at the equation for the reaction between sodium hydroxide and KHP:
NaOH + KHC8H4O4 ==> NaKC8H4O4 + H2O (note a 1:1 mole ration of NaOH:KHP)
Molar mass KHP = 204.2 g / mole
Moles KHP present = 3.427 g KHP x 1 mol / 204.2 g = 0.01678 moles KPH
Moles of NaOH needed to neutralize 0.01678 mols KHP = 0.01678 mols NaOH (1:1 mol ratio)
Concentration of NaOH = 0.01678 mol NaOH / 29.27 ml x 1000 ml / L = 0.5733 mol / L