Final answer:
The maximum standard voltage of the voltaic cell using the given half-reactions is +2.87 V, calculated by subtracting the anode potential (0.00 V) from the cathode potential (2.87 V).
Step-by-step explanation:
The question asks us to calculate the maximum standard voltage of a voltaic cell using given half-reactions. The half-reactions provided are:
- 2H+(aq) + 2e- → H₂(g) with E° = 0.00 V
- F₂(g) + 2e- → 2F-(aq) with E° = 2.87 V
To calculate the standard cell potential (E°cell), we use the formula:
E°cell = E°cathode - E°anode
First, identify the reduction and oxidation reactions. The fluoride ion is reduced as it gains electrons and has a higher reduction potential, so it serves as the cathode. Hydrogen is oxidized at the anode. Using the provided standard reduction potentials:
E°cell = 2.87 V (cathode) - 0.00 V (anode) = +2.87 V
This is the maximum standard voltage possible under standard conditions (1 M concentrations for aqueous species, 1 atm for gases, and a temperature of 25°C).