student intends to titrate a solution of a weak monoprotic acid with a sodium hydroxide solution but reverses the two solutions and places the weak acid solution in the buret. After 23.25 mL of the weak acid solution has been added to 50.0 mL of the 0.100 M solution, the pH of the resulting solution is 10.50. Calculate the original concentration of the solution of weak acid. Concentration =__ M
weak acid = HA
is titrated with NaOH
then
V = 23.25 mL of weak acid
V = 50 mL base, M = 0.1 M base
ph = 10.50
find original solution of acid
mmol of base initially = MV = 0.1*50 = 5
mmol of acid added = let it be "x"
after addition
mmol of base left = 5-x
from pH
pOH = 14-pH = 14-10.50 = 3.5
[OH-] = 10^-pOH = 10^-3.5 = 0.0003162 M left
V total = 23.25 + 50 = 73.25mL
mmol of OH- left = MV = 73.25*0.0003162 = 0.023161
then
mmol of acid added = (5-0.023161) = 4.976839
mmol of acid added was = 4.976839
[HA] = mmol of aid/Vadded = 4.976839 / 23.25 = 0.21405 M
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