Final answer:
The correct half-reaction occurring at the cathode under alkaline conditions in a hydrogen fuel cell is O2(g) + 2H2O(l) + 4e- → 4OH-(aq). In a galvanic cell, the cathode is positive and the anode is negative.
Step-by-step explanation:
The student's question involves writing the equation for the half-reaction that occurs at the cathode in a hydrogen fuel cell under alkaline conditions. The correct half-reaction for the oxygen reduction at the cathode under alkaline conditions is:
O2(g) + 2H2O(l) + 4e- → 4OH-(aq)
For a typical hydrogen fuel cell, the anode reaction would involve the oxidation of hydrogen:
2H2(g) → 4H+(aq) + 4e-
In a galvanic cell, the electrode at which reduction occurs is the cathode, which is positive, and the electrode at which oxidation occurs is the anode, which is negative.