Explain why chlorine gas can be prepared by electrolyzing an aqueous solution of \(\mathrm{NaCl}\) but fluorine gas cannot be prepared by electrolyzing an aqueous solution of NaF.

Short Answer

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Chlorine gas can be prepared by electrolyzing an aqueous solution of \(\mathrm{NaCl}\) because the reduction potential of chlorine gas to form chloride ions is positive. Conversely, in the electrolysis of an aqueous solution of \(\mathrm{NaF}\), water has a higher tendency to get oxidized to form oxygen gas and \(\mathrm{H^+}\) ions instead of fluoride ions getting reduced to fluorine gas.

Step by step solution

01

Understanding Electrolysis

Electrolysis is a process by which a chemical reaction is driven by the input of electrical energy. In the electrolysis of a salt solution, the ion that is more eager to accept electrons (the one with a more positive reduction potential) will be reduced at the cathode, while the ion that is less willing to accept electrons (the one with a less positive reduction potential) will be oxidized at the anode.
02

Applying the Concept to Chlorine

Looking at the standard electrode potentials, it can be seen that the reduction potential for chlorine gas (\(\mathrm{Cl_2}\)) to form chloride ions (\(\mathrm{Cl^-}\)) is positive. This means that in the electrolysis of \(\mathrm{NaCl}\), the chloride ions are likely to be reduced to form chlorine gas at the cathode. Simultaneously at the anode, water will get oxidized to form oxygen and H+ ions.
03

Applying the Concept to Fluorine

In contrast, the reduction potential for fluorine (\(\mathrm{F_2}\)) to form fluoride ions (\(\mathrm{F^-}\)) is more positive than that for water. This means that in electrolysis of \(\mathrm{NaF}\), instead of the formation of fluorine gas at the anode, water itself gets oxidized to oxygen gas and \(\mathrm{H^+}\) ions. Thus, fluorine gas is not formed.

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