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Normality

When 10 mL of...

Question

When $10 m L$ of an aqueous solution of $F e^{2 +}$ ions was titrated in the presence of dil $H_{2} S O_{4}$ using diphenylamine indicator, $15 m L of$ $0.02 M$ solution of $K_{2} C r_{2} O_{7}$ was required to get the end point. The molarity of the solution containing $F e^{2 +}$ ions is $x \times 10^{- 2} M$ . The value of $x$ is ___. (Nearest integer)

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Solution

The reaction involved in the given titration is,
$F e^{2 +} + C r_{2} O_{7}^{2 -} \to 6 F e^{3 +} + 2 C r^{3 +}$
Balancing the above equation,
$6 F e^{2 +} + C r_{2} O_{7}^{2 -} + 14 H^{+} \to F e^{3 +} + C r^{3 +} + 7 H_{2} O$

$milli~equivalents~of~ F e^{2 +} = milli-equivalents of~ K_{2} C r_{2} O_{7}$

$M \times 10 \times 1 = 0.02 \times 15 \times 6$

$M = 0.18 = 18 \times 10^{- 2} M$

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