Question

the standard reduction potentials for fluorine gas to the fluoride ion and the aluminum (iii) ion to aluminum metal are 2.866 v and -1.662 v, respectively. write the balanced equation for the spontaneous redox reaction that occurs in an electrochemical cell under standard conditions. include states of matter.

Answer 1

The balanced equation for the spontaneous redox reaction in an electrochemical cell under standard conditions between fluorine gas and aluminum is 3 F2(g) + 2 Al(s) → 6 F-(aq) + 2 Al3+(aq). This reaction is spontaneous with a positive standard cell potential.

Step-by-step explanation:

The question asks for the balanced equation for the spontaneous redox reaction that occurs under standard conditions in an electrochemical cell involving fluorine and aluminum. The given standard reduction potentials indicate that fluorine gas (F2) is reduced to fluoride ions (F-) and aluminum ions (Al3+) are oxidized to aluminum metal (Al). Using the potentials, we can predict that the reaction is spontaneous, as the cell potential will be positive. Here is the balanced redox equation including the states of matter:

3 F2(g) + 2 Al(s) → 6 F-(aq) + 2 Al3+(aq)

This equation represents the overall cell reaction, combining the reduction of fluorine and the oxidation of aluminum. The standard cell potential of this reaction can be calculated by subtracting the standard reduction potential of aluminum from that of fluorine, which results in a positive value indicating a spontaneous reaction.