In: Chemistry
A 35.00 mL sample of an unknown H3PO4solution is titrated with a 0.130 M NaOH solution. The equivalence point is reached when 25.83 mLof NaOH solution is added.
What is the concentration of the unknown H3PO4 solution? The neutralization reaction is
H3PO4(aq)+3NaOH(aq)→3H2O(l)+Na3PO4(aq)
Ans. Balanced reaction: H3PO4(aq) + 3 NaOH (aq) ------> Na3PO4(aq) + 3 H2O
At equivalence point, the total number of moles of H+ from acid is equal to total number of OH- from base.
That is- x(M1V1), acid = y(M2V2), base
Where, x = moles of H+ produced per mol acid = 3 for H3PO4
y = moles of OH- produced per mol base = 1 for NaOH
V and M are volume and molarity of respective solution.
Putting the values in above expression-
3 (M1 x 35.0 mL) = 1 x (0.130 M x 25.83 mL)
Or, M1 = (0.130 M x 25.83 mL) / (3 x 35.0 mL)
Therefore, M1 = 0.03198 M
Therefore, molarity of H3PO4 = 0.03198 M
# Method 2:
Balanced reaction: H3PO4(aq) + 3 NaOH (aq) ------> Na3PO4(aq) + 3 H2O
# Moles of NaOH consumed = Molarity x Volume of solution in liters
= 0.130 M x 0.02583 L
= 0.0033579 mol
# According to the stoichiometry of balanced reaction, 1 mol H3PO4 neutralizes 3 mol NaOH.
So,
Required moles of H3PO4 = (1/3) x Moles of NaOH
= (1/3) x 0.0033579 mol
= 0.0011193 mol
# Now,
Molarity of H3PO4 = Moles of H3PO4 / Volume of solution in liters
= 0.0011193 mol / 0.0350 L
= 0.03198 M