Calculate the pH of buffer solution made from 0.2M HC2H3O2 and 0.5M C2...
pH Calculation of Buffer Solution
Given:
- Concentration of HC2H3O2 (acetic acid) = 0.2 M
- Concentration of C2H3O2 (acetate ion) = 0.5 M
- Acid dissociation constant (Ka) for HC2H3O2 = 1.8×10-5
Buffer Solution:
A buffer solution is a solution that resists changes in pH when small amounts of acid or base are added to it. It consists of a weak acid and its conjugate base (or a weak base and its conjugate acid) in approximately equal concentrations.
In this case, the buffer solution is made from acetic acid (HC2H3O2) and acetate ion (C2H3O2).
Buffer Action:
The buffer solution works through the principle of the common ion effect. When a strong acid is added to the buffer, the acetate ion reacts with the added H+ ions to form acetic acid, thus minimizing the change in pH. Similarly, when a strong base is added, the acetic acid reacts with OH- ions to form acetate ion, preventing a significant change in pH.
pH Calculation:
To calculate the pH of the buffer solution, we need to consider the dissociation of acetic acid (HC2H3O2) and the equilibrium expression for Ka.
Step 1:Write the balanced equation for the dissociation of acetic acid:
HC2H3O2 ⇌ H+ + C2H3O2-
Step 2:Write the equilibrium expression for the acid dissociation constant (Ka):
Ka = [H+][C2H3O2-] / [HC2H3O2]
Step 3:Since the concentration of HC2H3O2 and C2H3O2 are given, we can substitute these values into the equilibrium expression:
1.8×10-5 = [H+][0.5] / [0.2]
Step 4:Solve the equation for [H+]:
[H+] = (1.8×10-5)(0.2) / 0.5
[H+] = 7.2×10-6 M
Step 5:Calculate the pH using the formula:
pH = -log[H+]
pH = -log(7.2×10-6)
pH ≈ 5.14
Conclusion:
The pH of the buffer solution made from 0.2 M HC2H3O2 and 0.5 M C2H3O