The concentration ratio of the components of the buffer is calculated by the equation of henderson hasselbach cleared:
[NH3] / [NH4 +] = 10 ^ (pH - pKa) = 10 ^ (9.2 - 9.24) = 0.912
We calculate the concentrations of each component, where the most concentrated is NH4 +:
[NH4 +] = 0.10 M
[NH3] = 0.912 * 0.1 = 0.09 M
a) The moles of each substance are calculated:
n NH4 + = M * V = 0.1 M * 0.1 L = 0.01 mol
n NH3 = 0.09 * 0.1 = 0.009 mol
b) Molar concentrations in equilibrium are:
[NH4 +] = 0.10 M
[NH3] = 0.09 M
c) The pH at equilibrium is 9.2
d) We calculate Ka and the concentration of H +:
Ka = 10 ^ -pKa = 10 ^ -9.24 = 5.75x10 ^ -10
[H +] = 10 ^ -pH = 10 ^ -9.2 = 6.31x10 ^ -10 M
The capacity of the buffer is calculated:
Δn / ΔpH = 2.303 * [(10 ^ -14 / 0.1) + 6.31x10 ^ -10 + (5.75x10 ^ -10 * 6.31x10 ^ -10 / (5.75x10 ^ -10 + 6.31x10 ^ -10) ^ 2 * (0.1 + 0.09)] = 3.65x10 ^ -5
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