Part of PC-07 — Redox Reactions & Electrochemistry

Worked Problems — Numerical Solutions

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Problem 1: Cell EMF Calculation (E°cell)

Q: Calculate the standard cell EMF for Fe|Fe2+Fe^{2+}||Ag+Ag^{+}|Ag. E°(Fe2+Fe^{2+}/Fe) = −0.44 V, E°(Ag+Ag^{+}/Ag) = +0.80 V.

Step 1: Identify cathode and anode.

  • Cell notation: left = anode (Fe), right = cathode (Ag)
  • Fe is oxidized (anode): Fe → Fe2+Fe^{2+} + 2ee^{-}
  • Ag+Ag^{+} is reduced (cathode): Ag+Ag^{+} + ee^{-} → Ag

Step 2: Apply formula. Ecell=EcathodeEanode=(+0.80)(0.44)=+1.24 VE^\circ_{cell} = E^\circ_{cathode} - E^\circ_{anode} = (+0.80) - (-0.44) = +1.24 \text{ V}

Step 3: Verify sign. E°cell = +1.24 V > 0 → spontaneous galvanic cell. ✓

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