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Moderate

Calculation: Equilibrium Constant from Cell Potential

CHEM-3AZUVB

What is the equilibrium constant, $K$, for the reaction shown below under standard conditions?

$$2{Cr}^{2+}(aq) + {{S}_{4}{O}_{6}}^{2-}(aq) \xrightarrow [ ]{ } 2{Cr}^{3+}(aq) + 2{{S}_{2}{O}_{3}}^{2-}(aq) \quad\quad E° = 0.670\ V$$

Hint: Use the Nernst equation.

A

$11.3$

B

$22.6$

C

$2.16 \times {10}^{22}$

D

$4.32 \times {10}^{22}$