Chemistry

Chemistry

Problem

What will be the EMF for the given cell Pt∣H2(P1)∣H+(aq)∣H2(P2)∣Pt\text{Pt} | \text{H}_2(\text{P}_1) | \text{H}^+(\text{aq}) | \text{H}_2(\text{P}_2) | \text{Pt} (a) RTFln⁡P1P2\frac{RT}{F} \ln \frac{P_1}{P_2} (b) RT2Fln⁡P1P2\frac{RT}{2F} \ln \frac{P_1}{P_2} (c) RT2Fln⁡P2P1\frac{RT}{2F} \ln \frac{P_2}{P_1} (d) none of these
Intuitive explanation

This is a concentration cell where both electrodes are identical (platinum with hydrogen gas), but at different pressures—so the driving force isn't a chemical difference, but an imbalance in partial pressure. The key insight is that the standard cell potential is zero (same half-reactions), so you'll use the Nernst equation with the pressure ratio to find how much voltage this imbalance creates. Think of it as the system "wanting" to equalize the hydrogen pressure on both sides.

Intuitive explanation

This is a concentration cell where both electrodes are identical (platinum with hydrogen gas), but at different pressures—so the driving force isn't a chemical difference, but an imbalance in partial pressure. The key insight is that the standard cell potential is zero (same half-reactions), so you'll use the Nernst equation with the pressure ratio to find how much voltage this imbalance creates. Think of it as the system "wanting" to equalize the hydrogen pressure on both sides.

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