Chapter 17: Problem 59
Solution of \(\mathrm{MgCl}_{2}\) in water has \(\mathrm{pH}\) value (a) 7 (b) \(>7\) (c) \(<7\) (d) \(14.2\)
Short Answer
Expert verified
The pH of \(\text{MgCl}_2\) solution is less than 7, so option (c) is correct.
Step by step solution
01
Identify the Nature of \(\text{MgCl}_2\)
\(\text{MgCl}_2\) is a salt derived from a strong acid (HCl) and a weak base (Mg(OH)\(_2\)). This indicates that its solution in water will be acidic.
02
Determine the Ionization in Water
When \(\text{MgCl}_2\) dissolves in water, it dissociates into \(\text{Mg}^{2+}\) and \(2 \text{Cl}^-\). However, the \(\text{Mg}^{2+}\) ion can interact with water molecules, slightly increasing acidity.
03
Evaluate the pH Based on Ions Present
\(\text{Mg}^{2+}\) from \(\text{MgCl}_2\) can hydrolyze partially, forming \(\text{Mg(OH)}^+\) and \(\text{H}^+\), thus making the solution acidic. This means the pH is likely to be less than 7.
04
Conclusion on pH Value
Given the acidic nature of \(\text{MgCl}_2\) in solution, the pH value will be less than 7.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Acidic Solutions
When we talk about acidic solutions, we refer to solutions that have a pH less than 7. The pH scale measures how acidic or basic a solution is. For solutions that are acidic, there is a higher concentration of hydrogen ions (\( ext{H}^+\)) than hydroxide ions (\( ext{OH}^-\)).
It's essential to understand that pH is a logarithmic scale. This means that each whole number change represents a tenfold change in acidity. So, a solution with a pH of 6 is ten times more acidic than one with a pH of 7. Understanding this scale is crucial in predicting the properties of various solutions, such as their corrosive behavior or reactivity. For example:
It's essential to understand that pH is a logarithmic scale. This means that each whole number change represents a tenfold change in acidity. So, a solution with a pH of 6 is ten times more acidic than one with a pH of 7. Understanding this scale is crucial in predicting the properties of various solutions, such as their corrosive behavior or reactivity. For example:
- Vinegar and lemon juice are common examples of acidic solutions.
- Acidic solutions typically taste sour and can conduct electricity due to the presence of free ions.
- They are often involved in chemical reactions, especially those seeking to neutralize basic compounds.
Hydrolysis of Salts
Hydrolysis of salts refers to a reaction where a salt reacts with water to either produce an acidic or basic solution. This occurs because of the ions present in the salt, which can interact with water molecules. When a salt like \( ext{MgCl}_2\) is dissolved in water, it dissociates into its constituent ions, \( ext{Mg}^{2+}\) and \( ext{Cl}^-\).
The key ion to focus on in this process is \( ext{Mg}^{2+}\). This ion can interact with water molecules to release hydrogen ions (\( ext{H}^+\)), leading to increased acidity in the solution:
The key ion to focus on in this process is \( ext{Mg}^{2+}\). This ion can interact with water molecules to release hydrogen ions (\( ext{H}^+\)), leading to increased acidity in the solution:
- The \( ext{Mg}^{2+}\) ion partially hydrolyzes with water, forming \( ext{Mg(OH)}^+\) and releasing \( ext{H}^+\).
- This release of \( ext{H}^+\) ions decreases the pH of the solution, confirming its acidic nature.
- Hydrolysis reactions like this are common for salts formed from strong acids and weak bases.
Strong Acids and Weak Bases
A critical concept in understanding the pH of salt solutions is the origin of the salt itself, particularly from strong acids and weak bases. The pH character of a salt solution is heavily influenced by the strength of the acid and base it originates from.
- A strong acid, like HCl, dissociates completely in water, releasing a large number of \( ext{H}^+\) ions.
- Weak bases like \( ext{Mg(OH)}_2\) do not fully dissociate, producing fewer \( ext{OH}^-\) ions in solution.
- The strong acid part contributes numerous hydrogen ions, overpowering the basic part of the solution.
- This imbalance is why \( ext{MgCl}_2\) solutions are acidic.