Answer:
You need to add 109,2g of NH₄Cl.
Explanation:
To calculate the pH in a buffer you can use Henderson-Hasselbalch formula:
pH = pka + log₁₀[tex]\frac{[base]}{[acid]}[/tex]
1. ka of 1,8x10⁻⁵ ≡ 4,74
pH = 4,74 + log₁₀[tex]\frac{[1]}{[10]}[/tex] = 3,74
pH = 4,74 + log₁₀[tex]\frac{[1]}{[1]}[/tex] = 4,74
pH = 4,74 + log₁₀[tex]\frac{[10]}{[1]}[/tex] = 5,74
2. Using:
pOH = pkb + log₁₀[tex]\frac{[acid]}{[base]}[/tex]
A pH of 8,89 is a pOH of 14-8,89 = 5,11
Thus:
5,11 = 4,74 + log₁₀[tex]\frac{[acid]}{[base]}[/tex]
2,32 = [tex]\frac{[acid]}{[base]}[/tex]
The moles of ammonia (base) are:
2,20L × 0,400M = 0,88 moles
Replacing:
2,32 = [tex]\frac{[acid]}{[0,88]}[/tex]
[acid] = 2,0416 moles of NH₄Cl ₓ (53,491g/mol) = 109,2 g of NH₄Cl
You need to add 109,2g of NH₄Cl.
I hope it helps!