The overall formation constant of the [Co(NH3)6]2+ ion in aqueous solution is 105 and the standard potentials for the reduction of Co3+ (aq) and [Co(NH3)6]3+(aq) are as followsCo3+(aq)+e−⇌Co2+(aq)E0=+1.9V;CoNH363+(aq)+e−CoNH362+(aq)E0=+0.1VCalculate the nearest overall formation constant of the [Co(NH3)6]3+ ion

The overall formation constant of the [Co(NH3)6]2+ ion in aqueous solution is 105 and the standard potentials for the reaction of Co3+(aq) and [Co(NH3)6]3+ are as followsCo3+(aq)+⇌Co2+(aq)E0=+1.91/CoNH363+(aq)+e⇌CoNH362+ (aq) E0=+0.1VCalculate the overall formation constant of theCoNH363+Co+2+6NH3⇌CoNH36+2⋅k1=105Co+3+6NH3⇌CoNH36+3 k2=?Co+3+e →Co+2 E0=1.9VCoNH36+2 →CoNH36+3+e E0=0.1V ___________________ Co+3+CoNH36+2⇌Co+2+CoNH36+3 E0=1.8V E0=0.0691log⁡k2k11.8=0.059log⁡x105 k2=1035

The overall formation constant of the [Co(NH3)6]2+ ion in aqueous solution is 105 and the standard potentials for the reduction of Co3+ (aq) and [Co(NH3)6]3+(aq) are as followsCo3+(aq)+e−⇌Co2+(aq)E0=+1.9V;CoNH363+(aq)+e−CoNH362+(aq)E0=+0.1VCalculate the nearest overall formation constant of the [Co(NH3)6]3+ ion

The overall formation constant of the [Co(NH3)6]2+ ion in aqueous solution is 105 and the standard potentials for the reaction of Co3+(aq) and [Co(NH3)6]3+ are as followsCo3+(aq)+⇌Co2+(aq)E0=+1.91/CoNH363+(aq)+e⇌CoNH362+ (aq) E0=+0.1VCalculate the overall formation constant of theCoNH363+Co+2+6NH3⇌CoNH36+2⋅k1=105Co+3+6NH3⇌CoNH36+3 k2=?Co+3+e →Co+2 E0=1.9VCoNH36+2 →CoNH36+3+e E0=0.1V ___________________ Co+3+CoNH36+2⇌Co+2+CoNH36+3 E0=1.8V E0=0.0691log⁡k2k11.8=0.059log⁡x105 k2=1035

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The overall formation constant of the [Co(NH₃)₆]²⁺ ion in aqueous solution is 10⁵ and the standard potentials for the reduction of Co³⁺ (aq) and [Co(NH₃)₆]³⁺(aq) are as follows
${Co}^{3 +} (aq) + e^{-} ⇌ {Co}^{2 +} (aq) E^{0} = + 1.9 V; {[Co {({NH}_{3})}_{6}]}^{3 +} (aq) + e^{-} {[Co {({NH}_{3})}_{6}]}^{2 +} (aq) E^{0} = + 0.1 V$
Calculate the nearest overall formation constant of the [Co(NH₃)₆]³⁺ ion

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10³⁸

10³³

10³⁰

10³⁵

answer is C.

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Detailed Solution

The overall formation constant of the [Co(NH₃)₆]²⁺ ion in aqueous solution is 10⁵ and the standard potentials for the reaction of Co³⁺(aq) and [Co(NH₃)₆]³⁺ are as follows
$\begin{array}{l} {Co}^{3 +} (aq) + ⇌ {Co}^{2 +} (aq) \\ E^{0} = + 1 .91 / \\ {[Co {({NH}_{3})}_{6}]}^{3 +} (aq) + e ⇌ {[Co {({NH}_{3})}_{6}]}^{2 +} \end{array}$
$(aq) E^{0} = + 0.1 V$
Calculate the overall formation constant of the
$\begin{array}{l} {[Co {({NH}_{3})}_{6}]}^{3 +} \\ {Co}^{+ 2} + 6 {NH}_{3} ⇌ {[Co {({NH}_{3})}_{6}]}^{+ 2} \cdot k_{1} = 10^{5} \\ {Co}^{+ 3} + 6 {NH}_{3} ⇌ {[Co {({NH}_{3})}_{6}]}^{+ 3} k_{2} = ? \end{array}$
$\begin{array}{lll} {Co}^{+ 3} + e \to {Co}^{+ 2} E^{0} = 1 .9 V \\ Co {({NH}_{3})}_{6}^{+ 2} \to Co {({NH}_{3})}_{6}^{+ 3} + e E^{0} = 0 .1 V \end{array}___________________{Co}^{+ 3} + Co {({NH}_{3})}_{6}^{+ 2} ⇌ {Co}^{+ 2} + Co {({NH}_{3})}_{6}^{+ 3} E^{0} = 1 .8 V \begin{array}{l} E^{0} = \frac{0 .069}{1} \log \frac{k_{2}}{k_{1}} \\ 1 .8 = 0 .059 \log \frac{x}{10^{5}} k_{2} = 10^{35} \end{array}$