A 100 ml 0.1 (M) solution of ammonium acetate is diluted by adding 100...
Given information:
- Concentration of ammonium acetate solution = 0.1 M
- Volume of ammonium acetate solution = 100 ml
- Volume of water added = 100 ml
- pKa of acetic acid ≈ pKb of NH4OH
Calculating the moles of ammonium acetate:
- Moles of ammonium acetate = Concentration × Volume
- Moles of ammonium acetate = 0.1 M × 0.1 L
- Moles of ammonium acetate = 0.01 moles
Calculating the moles of acetic acid and ammonium hydroxide:
- Ammonium acetate dissociates into acetic acid and ammonium hydroxide in water.
- The molar ratio of acetic acid and ammonium hydroxide is 1:1.
- So, the moles of acetic acid and ammonium hydroxide will be equal.
Moles of acetic acid:
- Moles of acetic acid = 0.01 moles
Moles of ammonium hydroxide:
- Moles of ammonium hydroxide = 0.01 moles
Calculating the concentration of acetic acid and ammonium hydroxide:
- The total volume of the solution after dilution = Volume of ammonium acetate + Volume of water
- Total volume = 100 ml + 100 ml
- Total volume = 200 ml
Concentration of acetic acid:
- Concentration of acetic acid = Moles of acetic acid / Total volume
- Concentration of acetic acid = 0.01 moles / 0.2 L
- Concentration of acetic acid = 0.05 M
Concentration of ammonium hydroxide:
- Concentration of ammonium hydroxide = Moles of ammonium hydroxide / Total volume
- Concentration of ammonium hydroxide = 0.01 moles / 0.2 L
- Concentration of ammonium hydroxide = 0.05 M
Calculating the pH:
- Since the pKa of acetic acid is nearly equal to the pKb of NH4OH, the solution will be approximately neutral.
- At neutral pH, the concentration of H+ ions and OH- ions will be equal.
- Therefore, the pH will be 7.0.
Answer:
The pH of the resulting solution will be 7.0. (Option C)