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Methods for Ester Synthesis

The overall f...

Question

The overall formation constant for the reaction of $6 m o l of -^{C} N i o n s$ with Co(II) ions is $10^{20}$ . The standard reduction potential for the reaction $[C o (C N)_{6}]^{3 -} + e^{-} \to [C o (C N)_{6}]^{4 -} is - 0.78 V$
$C o^{3 +} + e^{-} \to C o^{2 +} E^{\circ} = 1.80 V$
If the formation constant for $[C o (C N)_{6}]^{3 -} is 10 a$ , then the value of a is

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Solution

$(1) C o^{2 +} + 6 C N^{-} \to [C o (C N)_{6}]^{4 -} K_{f} = 10^{20}$
$(2) C o^{3 +} + e^{-} \to C o^{2 +} = E^{o} = 1.80 V$
$K c_{2} = 10^{30}$
$(3) [C o (C N)_{6}]^{3 -} + e^{-} \to [C o (C N)_{6}]^{4 -} E^{o} = - 0.78 V$
$K c_{3} = 10^{- 13}$
$(4) C o^{3 +} + 6 C N^{-} \to [C o (C N)_{6}]^{3 -} k_{f_{4}}$
$e q 1 + e q 2 - e q 3 = e q 4$
Formation constant
$k_{f_{4}} = \frac{k_{f} \times k_{c_{2}}}{k_{c_{3}}} = \frac{10^{20} \times 0^{30}}{10^{- 13}}$ .

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