Chemistry > Stoichiometry > 7.0 Titration
Stoichiometry
1.0 The Mole
2.0 The Limiting Reagent
3.0 Gravimetric Analysis
4.0 Volumetric Analysis
5.0 Calculation of n-factor
6.0 Redox Reactions
7.0 Titration
7.1 Simple Titration
7.2 Double Titration
7.3 Method
7.4 Titration of the solution containing both $N{a_2}C{O_3}$ and $NaHC{O_3}$
7.5 Titration of the solution containing both $NaOH$ and $N{a_2}C{O_3}$
7.6 Back Titration
8.0 Iodimetric and Iodometric Titrations
9.0 Volume strength peroxide solution
10.0 Percentage Labeling of Oleum
11.0 Hardness of Water
7.6 Back Titration
7.2 Double Titration
7.3 Method
7.4 Titration of the solution containing both $N{a_2}C{O_3}$ and $NaHC{O_3}$
7.5 Titration of the solution containing both $NaOH$ and $N{a_2}C{O_3}$
7.6 Back Titration
Let us consider that we have an impure solid substance $‘Z’$ weighing $‘w’$ $g$ and we are required to calculate the percentage purity of $‘Z’$ in the sample. We are also provided with two solutions $‘X’$ and $‘Y’$, where the concentration of $‘Y’$ is known $\left( {{N_1}} \right)$ and that of $‘X’$ is unknown. For the back titration to work, following conditions are to be satisfied
(a) Compounds $‘X’$, $‘Y’$ and $‘Z’$ should be such that $‘X’$ and $‘Y’$ reacts with each other.
(b) $‘X’$ and pure $‘Z’$ also reacts with each other but the impurity present in $‘Z’$ does not react with $‘X’$.
\[Z{\text{ }} + {\text{ }}X{\text{ }}\left( {excess} \right) \to Product{\text{ }}1\]
\[Remaining{\text{ }}\left( X \right){\text{ }} + {\text{ }}Y \to Product{\text{ }}2\]
Note: Product $1$ should not react with $Y$
Milli equivalent of $Y{\text{ }} = {\text{ }}{N_2}{V_2}$
Where ${N_2}$ and ${V_2}$ (ml) is the normality and volume of $Y$
Initial mili equivalent of $X{\text{ }} = {\text{ }}{N_1}{V_1}$
Where ${N_1}$ and ${V_1}$ (ml) is the normality and volume of $X$
Remaining milli equivalents of $X$ after reacting with $Y{\text{ }} = {\text{ }}{N_1}{V_1}-{\text{ }}{N_2}{V_2}$
Remaining milli equivalents of $X$ = milli equivalents of $Z$
$${N_1}{V_1}-{\text{ }}{N_2}{V_2} = \frac{{a \times 1000}}{{{\text{Equivalent weight}}}}$$
Where $‘a’$ is the weight of pure $Z$ which is reacted.
$$a = {\text{ }}\frac{{{\text{Molecular weight (}}{{\text{N}}_{\text{1}}}{V_1} - {N_2}{V_2})}}{{n - factor}}$$
$\therefore $ Percentage purity of $‘Z’$ is $$\frac{{({N_1}{V_1} - {N_1}{V_2})}}{{n - factor}} \times \frac{{Molar{\text{ Mass of `Z'}}}}{W} \times 100$$