J.R. S. answered 05/06/20
Ph.D. University Professor with 10+ years Tutoring Experience
pH = -log [H+], so we have to find [H+] in order to find pH.
HCl + NaOH ==> H2O + NaCl
moles HCl present = 10 ml x 1 L/1000 ml x 0.20 mol/L = 0.002 moles HCl
moles NaOH present = 15 ml x 1 L/1000 ml x 0.10 mol/L = 0.0015 moles NaOH
moles HCl left over after reaction with NaOH = 0.002 - 0.0015 = 0.0005 moles HCl = 0.0005 moles H+
Final volume of solution = 10 ml + 15 ml = 25 ml = 0.025 L
[H+] = 0.0005 moles / 0.025 L = 0.02 M
pH = -log 0.02
pH = 1.7