In the electrolysis of molten \(\mathrm{BaI}_{2}\) (a) What product forms at the negative electrode? (b) What product forms at the positive electrode?

Short Answer

Expert verified
Barium metal forms at the negative electrode and iodine gas forms at the positive electrode.

Step by step solution

01

Understanding Electrolysis

Electrolysis is a chemical process where electrical energy is used to drive a non-spontaneous reaction. In this case, molten \(\mathrm{BaI}_2\) is subjected to electrolysis.
02

Identify the Ions

\(\mathrm{BaI}_2\) dissociates into its ions: \(\mathrm{Ba}^{2+}\) and \(\mathrm{I}^{-}\). These ions will move towards the electrodes based on their charges.
03

Determine the Cathode (Negative Electrode) Reaction

At the negative electrode (cathode), reduction occurs. The \(\mathrm{Ba}^{2+}\) ions gain electrons. The reaction is: \[\mathrm{Ba}^{2+} + 2e^{-} \rightarrow \mathrm{Ba} (s)\]. Thus, barium metal is formed at the cathode.
04

Determine the Anode (Positive Electrode) Reaction

At the positive electrode (anode), oxidation occurs. The \(\mathrm{I}^{-}\) ions lose electrons. The reaction is: \[2\mathrm{I}^{-} \rightarrow \mathrm{I}_2 (g) + 2e^{-}\]. Thus, iodine gas is formed at the anode.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

electrode reactions
During the electrolysis of molten \(\text{BaI}_2\), the ions move towards their respective electrodes based on their charge. The system has a negative electrode (cathode) and a positive electrode (anode). The nature of the reactions occurring at these electrodes depends on the movement of ions.

At the cathode, reduction takes place. Reduction is the gain of electrons. In this process, \(\text{Ba}^{2+}\) ions migrate to the cathode where they gain electrons to form barium metal (\(\text{Ba (s)}\)).

At the anode, oxidation occurs. Oxidation is the loss of electrons. Here, \(\text{I}^{-}\) ions move towards the anode where they lose electrons to form iodine gas (\(\text{I}_2 (g)\)).

This movement of ions ensures that each ion goes to the appropriate electrode to undergo the correct electrochemical reaction.
oxidation and reduction
The principles of oxidation and reduction are essential in understanding electrolysis.

Oxidation: This involves the loss of electrons. During the electrolysis of molten \(\text{BaI}_2\), \(\text{I}^{-}\) ions at the anode (positive electrode) lose electrons to form iodine gas.
The reaction at the anode is:
\[2\text{I}^{-} \rightarrow \text{I}_2 (g) + 2e^{-}\]

Reduction: This is the gain of electrons. In the same scenario, \(\text{Ba}^{2+}\) ions at the cathode (negative electrode) gain electrons to form solid barium.
The reaction at the cathode is:
\[\text{Ba}^{2+} + 2e^{-} \rightarrow \text{Ba (s)}\]

In simple terms, oxidation always involves losing electrons and reduction always involves gaining electrons. The mnemonic 'OIL RIG' can help you remember: Oxidation Is Loss, Reduction Is Gain.
ion movement in electrolysis
In electrolysis, the movement of ions is key to the reaction occurring.

When molten \(\text{BaI}_2\) is subjected to electrolysis, it dissociates into \(\text{Ba}^{2+}\) and \(\text{I}^{-}\) ions.
  • Positive ions (cations) like \(\text{Ba}^{2+}\) move towards the negative electrode (cathode).
  • Negative ions (anions) like \(\text{I}^{-}\) move towards the positive electrode (anode).
This directional movement is driven by the attraction between opposite charges.

At the cathode, the positive \(\text{Ba}^{2+}\) ions gain electrons (reduction) to form barium metal. At the anode, the negative \(\text{I}^{-}\) ions lose electrons (oxidation) to form iodine gas.

By understanding this movement and the resulting electrode reactions, one can predict the products of electrolysis effectively.

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Most popular questions from this chapter

Commercial electrolytic cells for producing aluminum operate at \(5.0 \mathrm{~V}\) and \(100,000 \mathrm{~A}\). (a) How long does it take to produce exactly 1 metric ton ( \(1000 \mathrm{~kg}\) ) of aluminum? (b) How much electrical power (in kilowatt-hours, \(\mathrm{kW} \cdot \mathrm{h}\) ) is used \(\left(1 \mathrm{~W}=1 \mathrm{~J} / \mathrm{s} ; 1 \mathrm{~kW} \cdot \mathrm{h}=3.6 \times 10^{3} \mathrm{~kJ}\right) ?\) (c) If electricity costs \(\$ 0.123\) per \(\mathrm{kW} \cdot \mathrm{h}\) and cell efficiency is \(90 . \%\) what is the cost of electricity to produce exactly 1 lb of aluminum?

A voltaic cell consists of \(\mathrm{A} / \mathrm{A}^{+}\) and \(\mathrm{B} / \mathrm{B}^{+}\) half-cells, where A and \(B\) are metals and the A electrode is negative. The initial \(\left[\mathrm{A}^{+}\right] /\left[\mathrm{B}^{+}\right]\) is such that \(E_{\text {cell }}>E_{\text {cell }}^{\circ}\) (a) How do \(\left[\mathrm{A}^{+}\right]\) and \(\left[\mathrm{B}^{+}\right]\) change as the cell operates? (b) How does \(E_{\text {cell }}\) change as the cell operates? (c) What is \(\left[\mathrm{A}^{+}\right] /\left[\mathrm{B}^{+}\right]\) when \(E_{\text {cell }}=E_{\text {cell }}^{\circ} ?\) Explain. (d) Is it possible for \(E_{\text {cell to be less than } E_{\text {cell }}^{\circ} \text { ? Explain. }}\)

To examine the effect of ion removal on cell voltage, a chemist constructs two voltaic cells, each with a standard hydrogen electrode in one compartment. One cell also contains a \(\mathrm{Pb} / \mathrm{Pb}^{2+}\) half-cell; the other contains a \(\mathrm{Cu} / \mathrm{Cu}^{2+}\) half-cell. (a) What is \(E^{\circ}\) of each cell at \(298 \mathrm{~K} ?\) (b) Which electrode in each cell is negative? (c) When \(\mathrm{Na}_{2} \mathrm{~S}\) solution is added to the \(\mathrm{Pb}^{2+}\) electrolyte, solid \(\mathrm{PbS}\) forms. What happens to the cell voltage? (d) When sufficient \(\mathrm{Na}_{2} \mathrm{~S}\) is added to the \(\mathrm{Cu}^{2+}\) electrolyte, CuS forms and \(\left[\mathrm{Cu}^{2+}\right]\) drops to \(1 \times 10^{-16} \mathrm{M} .\) Find the cell voltage.

An inexpensive and accurate method of measuring the quantity of electricity flowing through a circuit is to pass the current through a solution of a metal ion and weigh the metal deposited. A silver electrode immersed in an Ag \(^{+}\) solution weighs \(1.7854 \mathrm{~g}\) before the current has passed and weighs \(1.8016 \mathrm{~g}\) after the current has passed. How many coulombs have passed?

Even though the toxicity of cadmium has become a concern, nickel-cadmium (nicad) batteries are still used commonly in many devices. The overall cell reaction is $$\mathrm{Cd}(s)+2 \mathrm{NiO}(\mathrm{OH})(s)+2 \mathrm{H}_{2} \mathrm{O}(I) \longrightarrow 2 \mathrm{Ni}(\mathrm{OH})(s)+\mathrm{Cd}(\mathrm{OH})_{2}(s)$$ A certain nicad battery weighs \(18.3 \mathrm{~g}\) and has a capacity of 300\. mA \(h\) (that is, the cell can store charge equivalent to a current of \(300 .\) mA flowing for \(1 \mathrm{~h}\) ). (a) What is the capacity of this cell in coulombs? (b) What mass of reactants is needed to deliver \(300 . \mathrm{mA} \cdot \mathrm{h} ?\) (c) What percentage of the cell mass consists of reactants?

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