The metal deposited first at the cathode when a solution containing \(\mathrm{Fe}^{+2}, \mathrm{Cu}^{+2}\) is electrolyzed is (a) \(\mathrm{Fe}\) (b) \(\mathrm{Cu}\) (c) \(\mathrm{Fe}^{+3}\) (d) both 1 and 2

Short Answer

Expert verified
Answer: (b) \(\mathrm{Cu}\)

Step by step solution

01

List the reduction reactions and their respective reduction potentials.

The reduction potentials of the \(\mathrm{Fe}^{+2}\) and \(\mathrm{Cu}^{+2}\) ions are as follows: \(\mathrm{Fe}^{2+} + 2e^{-} \rightarrow \mathrm{Fe}\), Reduction potential = -0.44 V \(\mathrm{Cu}^{2+} + 2e^{-} \rightarrow \mathrm{Cu}\), Reduction potential = +0.34 V
02

Compare the reduction potentials.

Now that we have the reduction potentials, we can compare them. A higher reduction potential indicates a greater tendency for reduction to occur. In our case, the reduction potential of the \(\mathrm{Cu}^{+2}\) ion (+0.34 V) is higher than that of the \(\mathrm{Fe}^{+2}\) ion (-0.44 V).
03

Identify which metal will be deposited first.

Since \(\mathrm{Cu}^{+2}\) has a higher reduction potential, this means that it has a greater tendency to be reduced, or more likely to gain electrons and turn into a metal. Therefore, \(\mathrm{Cu}\) will be deposited first at the cathode when the solution containing \(\mathrm{Fe}^{+2}\) and \(\mathrm{Cu}^{+2}\) ions is electrolyzed.
04

Choose the correct answer among the options.

The correct answer is: (b) \(\mathrm{Cu}\)

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