Ionic EquilibriumHard

Question

For a tribasic acid, H3A, Ka1 = 2 × 10−5, Ka2 = 5 × 10−9 and Ka3 = 4 × 10−12. The value of $\frac{\left\lbrack A^{3 -} \right\rbrack}{\left\lbrack H_{3}A \right\rbrack}$at equilibrium in an aqueous solution originally having 0.2 M – H3A is

Options

A.5 × 10−17
B.5 × 10−9
C.1 × 10−17
D.2 × 10−22

Solution

$\left\lbrack H^{+} \right\rbrack = \sqrt{0.2 \times 2 \times 10^{- 5}} = 2 \times 10^{- 3}\text{ M}$

Now, $\left( 2 \times 10^{- 5} \right) \times \left( 5 \times 10^{- 9} \right) \times \left( 4 \times 10^{- 12} \right) = \frac{\left( 2 \times 10^{- 3} \right)^{3} \times \left\lbrack A^{3 +} \right\rbrack}{\left\lbrack H_{3}A \right\rbrack}$

$\therefore\frac{\left\lbrack A^{3 -} \right\rbrack}{\left\lbrack H_{3}A \right\rbrack} = 5 \times 10^{- 17}$

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