15) You have the reaction:
Tris + H2O = Tris + + OH-
The expression of Kb:
Kb = [Tris +] * [OH-] / [Tris]
8.7x10 ^ -9 = X ^ 2 / 0.15 - X
It is assumed that - X is negligible and clears:
X = [OH-] = √8.7x10 ^ -9 * 0.15 = 3.6x10 ^ -5 M
The pOH and the pH are calculated:
pOH = - log 3.6x10 ^ -5 = 4.4
pH = 14 - 4.4 = 9.6
16) The added moles of HCl are calculated:
n HCl = M * V = 1 M * 0.004 L = 0.004 mol
The moles of Tris base are calculated:
n Tris = 0.15 M * 0.1 L = 0.015 mol
The HCl reacts with Tris (decreasing it) and forms Tris + (increasing it), the pH is calculated by the equation of henderson hasselbach:
pH = pKa + log (n Tris / n Tris +) = 8.06 + log (0.015 - 0.004 / 0.004) = 8.5
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