If \(\mathrm{Br}^{-}\) and \(\mathrm{I}^{-}\) occur together in an aqueous solution, I can be oxidized to \(\mathrm{IO}_{3}^{-}\) with an excess of \(\mathrm{Cl}_{2}(\mathrm{aq})\) Simultaneously, \(\mathrm{Br}^{-}\) is oxidized to \(\mathrm{Br}_{2},\) which is extracted with \(\mathrm{CS}_{2}(1) .\) Write chemical equations for the reactions that occur.

Short Answer

Expert verified
Equations for reactions: \(2 I^{-} (aq) + 2 Cl_{2} (aq) \rightarrow 2 IO_{3}^{-} + 4 Cl^{-}\) and \(2 Br^{-} (aq) + Cl_{2} (aq) \rightarrow 2 Br_{2} + 2 Cl^{-}\)

Step by step solution

01

Identify the initial state of substances

In this scenario, the initial state of the substances involved are \(Br^{-}\), \(I^{-}\) and \(Cl_2 (aq)\).
02

Identify the final state of substances

The final state of the substances after oxidation are \(IO_3^{-}\) for \(I^{-}\) and \(Br_2\) for \(Br^{-}\).
03

Write the balanced oxidation equations

For iodine - \(I^{-}\), we can write: \(2 I^{-} (aq) + 2 Cl_{2} (aq) \rightarrow 2 IO_{3}^{-} + 4 Cl^{-}\).For bromine - \(Br^{-}\), the equation will be: \(2 Br^{-} (aq) + Cl_{2} (aq) \rightarrow 2 Br_{2} + 2 Cl^{-}\). CS_2 is used to extract Br_2, but it does not participate in the actual reactions.

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Key Concepts

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

Understanding Oxidation-Reduction Equations
When we speak about chemistry, one of the most significant reactions that occur is oxidation-reduction, commonly known as redox reactions. These are processes where electrons are transferred between substances, changing their oxidation states. In a redox reaction, one substance is oxidized by losing electrons, and another is reduced by gaining electrons.

In the provided exercise, we see iodide (\(I^{-}\)) and bromide (\(Br^{-}\)) ions being oxidized. Chlorine (\(Cl_2\text{(aq)}\)) acts as the oxidizing agent, causing iodide to become iodate (\(IO_3^{-}\)) and bromide to elemental bromine (\(Br_2\text{(l)}\)). When writing oxidation-reduction equations, it's crucial to ensure the transfer of electrons is equal and opposite for both the oxidizing and reducing agents. This ensures that the equation is balanced in terms of both mass and charge.
Aqueous Solution Reactions
Many chemical reactions occur in aqueous solutions, where water is the solvent. In an aqueous medium, the reactants, often in ionic form, interact and produce new products. Substances in aqueous solutions are dissociated into ions, which are free to move and react with other ions. This is why reactions in aqueous solutions can proceed rapidly.

For instance, in our exercise, when chlorine gas is dissolved in water, it reacts with the iodide and bromide ions. However, the product, bromine (\(Br_2\text{(l)}\)), is not soluble in water, thus it is extracted with carbon disulfide (\(CS_2\text{(l)}\)), highlighting the importance of solubility considerations in aqueous solution reactions.
Halogens Chemistry
The halogens include elements like fluorine, chlorine, bromine, and iodine, which are found in Group 17 of the periodic table. These elements are highly reactive, especially due to their seven valence electrons, wanting to gain one more to achieve a stable octet configuration. Halogens can undergo various chemical reactions, and they often act as oxidizing agents, as seen with chlorine in the textbook exercise.

Halogens can react with each other through interhalogen reactions. In our example, chlorine gas (\(Cl_2\text{(aq)}\)) oxidizes iodide to iodate and bromide to bromine. The reactivity of halogens decreases as you move down the group; therefore, chlorine can oxidize both iodide and bromide, which are below it in the periodic table.

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Most popular questions from this chapter

Write equations to show how to prepare \(\mathrm{H}_{2}(\mathrm{g})\) from each of the following substances: \((a) \mathrm{H}_{2} \mathrm{O} ;\) (b) \(\mathrm{HI}(\mathrm{aq})\) (c) \(\mathrm{Mg}(\mathrm{s}) ;\) (d) \(\mathrm{CO}(\mathrm{g})\). Use other common laboratory reactants as necessary, that is, water, acids or bases, metals, and so on.

When heated, each of the following substances decomposes to the products indicated. Write balanced equations for these reactions. (a) \(\mathrm{NH}_{4} \mathrm{NO}_{3}(\mathrm{s})\) to \(\mathrm{N}_{2}(\mathrm{g}), \mathrm{O}_{2}(\mathrm{g}),\) and \(\mathrm{H}_{2} \mathrm{O}(\mathrm{g})\) (b) \(\mathrm{NaNO}_{3}(\mathrm{s})\) to sodium nitrite and oxygen gas (c) \(\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}(\mathrm{s})\) to lead(II) oxide, nitrogen dioxide, and oxygen.

When iodine is added to an aqueous solution of iodide ion, the \(I_{3}^{-}\) ion is formed, according to the reaction below: $$\mathrm{I}_{2}(\mathrm{aq})+\mathrm{I}^{-}(\mathrm{aq}) \rightleftharpoons \mathrm{I}_{3}^{-}(\mathrm{aq})$$ The equilibrium constant for the reaction above is \(K=7.7 \times 10^{2}\) at \(25^{\circ} \mathrm{C}\) (a) What is \(E^{\circ}\) for the reaction above? (b) If a 0.0010 mol sample of \(I_{2}\) is added to 1.0 L of \(0.0050 \mathrm{M} \mathrm{NaI}(\mathrm{aq})\) at \(25^{\circ} \mathrm{C},\) then what fraction of the \(\mathrm{I}_{2}\) remains unreacted at equilibrium?

Figure \(15-1\) (page 656 ) shows that \(I_{2}\) is considerably more soluble in \(\mathrm{CCl}_{4}(1)\) than it is in \(\mathrm{H}_{2} \mathrm{O}(1) .\) The concentration of \(I_{2}\) in its saturated aqueous solution is \(1.33 \times 10^{-3} \mathrm{M},\) and the equilibrium achieved when \(\bar{I}_{2}\) distributes itself between \(\mathrm{H}_{2} \mathrm{O}\) and \(\mathrm{CCl}_{4}\) is $$\mathrm{I}_{2}(\mathrm{aq}) \rightleftharpoons \mathrm{I}_{2}\left(\mathrm{CCl}_{4}\right) \quad K_{\mathrm{c}}=85.5$$ (a) \(\mathrm{A} 10.0 \mathrm{mL}\) sample of saturated \(\mathrm{I}_{2}(\mathrm{aq})\) is shaken with \(10.0 \mathrm{mL} \mathrm{CCl}_{4} .\) After equilibrium is established, the two liquid layers are separated. How many milligrams of \(I_{2}\) will be in the aqueous layer? (b) If the \(10.0 \mathrm{mL}\) of aqueous layer from part (a) is extracted with a second \(10.0 \mathrm{mL}\) portion of \(\mathrm{CCl}_{4}\) how many milligrams of \(\mathrm{I}_{2}\) will remain in the aqueous layer when equilibrium is reestablished? (c) If the 10.0 mL sample of saturated \(I_{2}(\) aq) in part (a) had originally been extracted with \(20.0 \mathrm{mL} \mathrm{CCl}_{4}\) would the mass of \(I_{2}\) remaining in the aqueous layer have been less than, equal to, or greater than that in part (b)? Explain.

Write a plausible chemical equation to represent the reaction of \((\mathrm{a}) \mathrm{Cl}_{2}(\mathrm{g}) \quad\) with cold \(\quad \mathrm{NaOH}(\mathrm{aq})\) (b) \(\mathrm{NaI}(\mathrm{s})\) with hot \(\mathrm{H}_{2} \mathrm{SO}_{4}(\text { concd aq }) ;\) (c) \(\mathrm{Cl}_{2}(\mathrm{g})\) with \(\mathrm{KI}_{3}(\mathrm{aq}) ; \quad\) (d) \(\quad \mathrm{NaBr}(\mathrm{s}) \quad\) with hot \(\mathrm{H}_{3} \mathrm{PO}_{4}\) \((\text { concd aq })\) (e) \(\mathrm{NaHSO}_{3}(\mathrm{aq})\) with \(\mathrm{MnO}_{4}^{-1}(\mathrm{aq})\) in dilute \(\mathrm{H}_{2} \mathrm{SO}_{4}(\mathrm{aq})\).

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