CH3NH2(aq) + H2O(l) ⇄ CH3NH3+(aq) + OH−(aq) Kb = 4.4 × 10−4 Methylamine, CH3NH2, is a weak base that — Equilibrium Chemistry Question
Problem Context
CH3NH2(aq) + H2O(l) ⇄ CH3NH3+(aq) + OH−(aq) Kb = 4.4 × 10−4
Methylamine, CH3NH2, is a weak base that reacts with water according to the equation above. A student obtains a 50.0 mL sample of a methylamine solution and determines the pH of the solution to be 11.77.
Model Answer
Kb = [CH3NH3+][OH-] / [CH3NH2]
One point is earned for the correct expression.
Model Answer
pH = 11.77
[H+] = 10^-11.77 = 1.7 × 10^-12
[OH-] = Kw / [H+] = 1.0 × 10^-14 / (1.7 × 10^-12) = 5.9 × 10^-3
OR
pOH = 14 − pH = 2.23
[OH-] = 10^-2.23 = 5.9 × 10^-3
One point is earned for correct [OH-].
Model Answer
Kb = [CH3NH3+][OH-] / [CH3NH2]
4.4 × 10^-4 = (5.9 × 10^-3)(5.9 × 10^-3) / (x - 5.9 × 10^-3)
x = 0.085 M
One point is earned for [CH3NH3+] = [OH-].
One point is earned for the correct initial molar concentration.
Note: An approximated molar concentration does not earn the second point.
Model Answer
CH3NH2 + H3O+ → CH3NH3+ + H2O
OR
CH3NH2 + H+ → CH3NH3+
One point is earned for a correct equation.
Model Answer
0.085 mol / 1000. mL × 50.0 mL = 0.00425 mol CH3NH2
0.00425 mol HCl / 36.0 mL × 1000. mL / 1.000 L = 0.12 M
One point is earned for equal moles of acid and base.
One point is earned for the correct concentration.
Model Answer
One point is earned for a curve starting at a pH between 11 and 12.
One point is earned for labeling the equivalence point at V = ~36.0 mL HCl and a pH of ~5.98 .
One point is earned for general shape of the curve for a weak acid/strong base titration.