The standard potential for the following galvanic cell is +0.90 V: 3 Cu²⁺(aq) + 2 Ga(s) ⇌ 3 Cu(s) + 2 Ga³⁺(aq)
Given that the standard reduction potential for the Cu²⁺/Cu half-cell is +0.34 V,what is the standard reduction potential for the Ga³⁺/Ga half-cell?

Question

Quizplus · Accepted Answer

The standard cell potential ($E^\circ_{cell}$) is the sum of the standard reduction potential of the cathode ($E^\circ_{cathode}$) and the standard oxidation potential of the anode ($E^\circ_{anode}$). Since oxidation potential is the negative of reduction potential, $E^\circ_{cell} = E^\circ_{cathode} - E^\circ_{anode}$. Given $E^\circ_{cell} = +0.90 V$ and $E^\circ_{cathode} = +0.34 V$ for Cu$^{2+}$/Cu, we solve for $E^\circ_{anode}$ (which is the reduction potential for Ga$^{3+}$/Ga when considering it as a reduction process): $+0.90 V = +0.34 V - E^\circ_{anode}$, thus $E^\circ_{anode} = -0.56 V$.

The Standard Potential for the Following Galvanic Cell Is +0