Problem 28
Question
Write balanced equations for the recovery of magnesium from seawater. Begin with the precipitation of magnesium hydroxide by addition of calcium hydroxide to seawater.
Step-by-Step Solution
Verified Answer
Precipitate Mg(OH)₂ using Ca(OH)₂; convert to MgCl₂ using HCl, then electrolyze to obtain Mg.
1Step 1: Understanding the Context
Seawater contains magnesium ions (Mg²⁺), which we want to recover. We will use calcium hydroxide (Ca(OH)₂) to precipitate out magnesium as magnesium hydroxide (Mg(OH)₂). This forms the basis of recovering magnesium from seawater.
2Step 2: Writing the Initial Reaction
The first reaction involves the addition of calcium hydroxide to seawater, which contains magnesium ions. The balanced chemical equation for this precipitation reaction is: \[ \text{Mg}^{2+} (aq) + 2\text{OH}^{-} (aq) \rightarrow \text{Mg(OH)}_2 (s) \]. However, since calcium hydroxide is added to the solution, the full ionic reaction is: \[ \text{Ca(OH)}_2 (aq) + \text{Mg}^{2+} (aq) \rightarrow \text{Ca}^{2+} (aq) + \text{Mg(OH)}_2 (s) \].
3Step 3: Separation of Magnesium Hydroxide
Once magnesium hydroxide precipitates, it can be separated from the mixture by filtration since it is insoluble in water. This step doesn't involve a chemical equation, but it's essential for the next steps.
4Step 4: Conversion to Pure Magnesium
The magnesium hydroxide precipitate is then typically dissolved in hydrochloric acid (HCl) to form magnesium chloride (MgCl₂): \[ \text{Mg(OH)}_2 (s) + 2\text{HCl} (aq) \rightarrow \text{MgCl}_2 (aq) + 2\text{H}_2\text{O} (l) \].
5Step 5: Electrolysis of Magnesium Chloride
Using electrolysis on the magnesium chloride solution, magnesium metal (Mg) is finally obtained. The simplified overall reaction for the electrolysis process is: \[ \text{MgCl}_2 (l) \rightarrow \text{Mg} (s) + \text{Cl}_2 (g) \].
Key Concepts
Chemical EquationsPrecipitation ReactionElectrolysisMagnesium HydroxideMagnesium Chloride
Chemical Equations
Chemical equations are essential tools in chemistry that describe how substances change into new products in a reaction. In the context of magnesium recovery from seawater, chemical equations allow us to represent processes clearly and accurately. For instance, when writing the equation for the precipitation of magnesium hydroxide, we take into account the reactants and products, ensuring both sides of the equation are balanced. Balancing chemical equations involves making sure that the number of atoms of each element is the same on both sides. This is crucial because it aligns with the law of conservation of mass, which states that matter cannot be created or destroyed in a chemical reaction. Understanding the role of chemical equations is fundamental to grasping more complex processes like precipitation reactions and electrolysis, both of which are involved in magnesium recovery.
Precipitation Reaction
A precipitation reaction occurs when two solutions combine to form an insoluble solid, known as a precipitate. In the case of recovering magnesium from seawater, magnesium ions (\(\text{Mg}^{2+}\)) react with hydroxide ions (\(\text{OH}^{-}\)) to form magnesium hydroxide (\(\text{Mg(OH)}_2\)). This is depicted in the equation:
- \( \text{Ca(OH)}_2 (aq) + \text{Mg}^{2+} (aq) \rightarrow \text{Ca}^{2+} (aq) + \text{Mg(OH)}_2 (s) \)
Electrolysis
Electrolysis is a key process in extracting and refining metals, including magnesium from its compounds. In the magnesium recovery process, once we have magnesium chloride (\(\text{MgCl}_2\)), electrolysis can be employed to obtain pure magnesium metal. Start by dissolving magnesium chloride in an electrolyte solution. When an electric current is passed through, it splits magnesium chloride into its components:
- \(\text{MgCl}_2 (l) \rightarrow \text{Mg} (s) + \text{Cl}_2 (g) \)
Magnesium Hydroxide
Magnesium hydroxide (\(\text{Mg(OH)}_2\)) is an insoluble compound that precipitates out during the initial stage of magnesium recovery. Its formation is a critical step since it can be easily filtered out from the liquid mixture. This compound serves as an intermediary in the recovery process. Once separated, magnesium hydroxide is dissolved in hydrochloric acid to form magnesium chloride, which is ready for further processing by electrolysis. Although insoluble, magnesium hydroxide is very useful beyond this process. It's commonly known as "milk of magnesia" and is used as an antacid and laxative. This highlights how versatile chemical compounds can have various applications.
Magnesium Chloride
Magnesium chloride (\(\text{MgCl}_2\)) is a key intermediary product in the recovery of magnesium metal from seawater. After magnesium hydroxide is separated, it's reacted with hydrochloric acid to create magnesium chloride in solution:
- \( \text{Mg(OH)}_2 (s) + 2\text{HCl} (aq) \rightarrow \text{MgCl}_2 (aq) + 2\text{H}_2\text{O} (l) \)
Other exercises in this chapter
Problem 26
A \(500-\mathrm{g}\) sample of gaseous argon is collected at \(-185^{\circ} \mathrm{C}\) and 5.0 atm. Calculate its volume at this temperature and pressure.
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Identify the substance or substances produced by each of these commercial processes and write a balanced chemical equation for the main reaction of the process.
View solution Problem 29
(a) Write the balanced chemical equation for the electrolysis of aqueous \(\mathrm{NaCl}\). (b) In \(2002,8.98 \times 10^{9} \mathrm{~kg} \mathrm{NaOH}\) and \(
View solution Problem 30
Briefly explain why different products are obtained from the electrolysis of molten \(\mathrm{NaCl}\) and the electrolysis of aqueous \(\mathrm{NaCl}\).
View solution