To calculate the pH of the solution we need to find the [H+],concentration of H+ or [OH-],concentration of OH-.
Millimoles = Molarity*Volume(in mL)
Millimoles of NaOH = Molarity of NaOH*Volume(in mL) = 0.7*19 = 13.3 millimoles
MIlimoles of HCl = Molarity of HCl*Volume(in mL) = 0.4*9 = 3.6 millimoles
Since HCl is an acid and NaOH is base, neutralization reaction will occur and form NaCl and water, HCl + NaOH → NaCl + H2O. As we can 1 mole of HCl will 1 mole of NaOH to form 1 mole of NaCl and 1 mole of water. In the solution there are 3.6 millimoles of HCl that will react with 3.6 milimoles of NaOH to take part in neutralization reaction. So there will left only NaOH in the solution as there will no more HCl to react with.
Remaining NaOH = 13.3 - 3.6 = 9.7 millimoles = 9.7*10-3 moles
Moles of OH- = Moles of NaOH = 9.7*10-3 moles
Final Volume of Solution = 50+19+9 =78mL
Molarity of OH-,[OH-] = Moles of OH- / Final Volume(in litres) = 9.7*10-3/ 78*10-3 = 0.1243M
pOH = -log10[OH-] = -log10[0.1243] = 0.9053
At room temperature(25 degree Celsius), pOH + pH = 14
Therefore pH = 14 - pOH = 14 - 0.9053 = 13.094
pH of the resulting solution is 13.094.
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