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The pH of \(0.10 \mathrm{M} \mathrm{CH}_{3} \mathrm{NH}_{2}\) (methylamine) is \(11.8\). When the chloride salt of methylamine, \(\mathrm{CH}_{3} \mathrm{NH}_{3} \mathrm{Cl}\), is added to this solution, does the pH increase or decrease? Explain, using Le Chatelier's principle and the common-ion effect.

Short Answer

Expert verified
The pH decreases with the addition of CH鈧僋H鈧僀l due to the common-ion effect.

Step by step solution

01

Understanding the Initial System

First, note that methylamine ( CH鈧僋H鈧) is a weak base. The initial problem states that a 0.10 M methylamine solution has a pH of 11.8. This suggests a basic system where methylamine is partially ionized in water, forming hydroxide ions (OH鈦) and methylammonium ions ( CH鈧僋H鈧冣伜).
02

The Addition of the Common Ion

When the chloride salt, CH鈧僋H鈧僀l , is added to the solution, it dissociates completely into CH鈧僋H鈧冣伜 ions and Cl鈦 ions. Since CH鈧僋H鈧冣伜 is a common ion already present from the ionization of methylamine, its concentration in the solution increases.
03

Applying Le Chatelier's Principle

According to Le Chatelier's principle, the system will adjust itself to reduce the effect of the addition of more CH鈧僋H鈧冣伜 ions. The equilibrium of the reaction CH鈧僋H鈧 + H鈧侽 鈫 CH鈧僋H鈧冣伜 + OH鈦 will shift to the left to decrease the concentration of CH鈧僋H鈧冣伜.
04

The Effect on pH

As the equilibrium shifts to the left, the concentration of hydroxide ions (OH鈦) decreases. This means the solution becomes less basic, leading to a decrease in pH.

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Key Concepts

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

Common-ion effect
The common-ion effect occurs when a compound is added to a solution in equilibrium and that compound contains an ion already present in the solution. In our scenario, the solution contains methylamine \((\text{CH}_3\text{NH}_2)\), which partially ionizes to produce \(\text{CH}_3\text{NH}_3^+\) ions and hydroxide \((\text{OH}^-)\) ions. Adding \(\text{CH}_3\text{NH}_3\text{Cl} \), which dissociates into \(\text{CH}_3\text{NH}_3^+\) and \(\text{Cl}^-\), increases the concentration of the common ion, \(\text{CH}_3\text{NH}_3^+\).

This additional \(\text{CH}_3\text{NH}_3^+\) exerts the common-ion effect by shifting the equilibrium of the methylamine ionization reaction. This causes changes in the concentrations of the products and reactants involved.
Weak Base
Methylamine \((\text{CH}_3\text{NH}_2)\) is classified as a weak base. Unlike strong bases, weak bases do not fully ionize in water. Instead, they establish an equilibrium between the non-ionized and ionized forms. In the case of methylamine, the equilibrium can be represented by the equation:

\( \text{CH}_3\text{NH}_2 + \text{H}_2\text{O} \rightleftharpoons \text{CH}_3\text{NH}_3^+ + \text{OH}^- \).

Since it is a weak base, only a fraction of the methylamine molecules ionize in water, leading to a solution that is basic but not as strongly basic as it would be with a strong base. This partial ionization is critical for the behavior observed when common ions are introduced.
Equilibrium Shift
The concept of equilibrium shift is vital here. When a change is applied to a system at equilibrium, the system responds to counter the effect of that change, as per Le Chatelier's principle. By adding \(\text{CH}_3\text{NH}_3\text{Cl}\) to the methylamine solution, the concentration of \(\text{CH}_3\text{NH}_3^+\) increases.

According to Le Chatelier's principle, the equilibrium will shift to oppose the change, in this case by decreasing \(\text{CH}_3\text{NH}_3^+\) concentration.
  • The reaction shifts to the left, indicating a decrease in the forward reaction where \(\text{CH}_3\text{NH}_2\) ionizes into \(\text{CH}_3\text{NH}_3^+\) and \(\text{OH}^-\).
  • This shift results in fewer \(\text{OH}^-\) ions, meaning the system is becoming less basic.
pH Change
The pH change in this experiment is due to the equilibrium shift caused by the common-ion effect. Initially, the solution of \(\text{CH}_3\text{NH}_2\) has a high pH of 11.8, indicating basicity. When \(\text{CH}_3\text{NH}_3\text{Cl}\) is added, the concentration of hydroxide ions \((\text{OH}^-)\) diminishes as the equilibrium shifts to the left.

With fewer \(\text{OH}^-\) ions in the solution, the basicity decreases, resulting in a lower pH. This change demonstrates how pH reflects the balance of hydrogen \((\text{H}^+)\) and hydroxide \((\text{OH}^-)\) ions in a solution and how it can be affected by adding substances that alter this balance.
  • The decrease in \(\text{OH}^-\) reflects a smaller base strength.
  • This leads to a decrease in pH, showcased by the system moving towards neutrality.

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