The reaction has a standard cell potential at and involves electrons

CHEMISTRY · Subjective · AP · Chemistry · Thermodynamics and Electrochemistry · Thermodynamics and Electrochemistry

Problem

The reaction

2\,\text{Cr}^{3+}(aq) + 3\,\text{Fe}(s) \rightleftharpoons 2\,\text{Cr}(s) + 3\,\text{Fe}^{2+}(aq)

has a standard cell potential

E^\circ = +0.30\,\text{V}

298\,\text{K}

and involves

n = 6

electrons. Initial concentrations are

[\text{Cr}^{3+}] = 0.20\,\text{M}

and

[\text{Fe}^{2+}] = 1.0 \times 10^{-4}\,\text{M}

; all solids are in their standard states. Determine whether the system will spontaneously form more

\text{Cr}(s)

(proceed to the right) or oxidize

\text{Cr}(s)

(proceed to the left) as it moves toward equilibrium, and support your answer with a brief calculation.