The total volume of the mixture is ( 40 + 40) mL = 80 mL
Concentration of NH4Cl in the mixture = 1.0 M * ( 40/ 80) = 0.5 (M)
Concentration of NaOH in the mixture = 1.0 M * ( 40/ 80) = 0.5 (M)
The reaction is:
NH4+ (aq) + OH- (aq) = H2O (l) + NH3 (aq)
I : 0.5 M 0.5 M - 0 M
C: - 0.5 M - 0.5 M - + 0.5 M
E: 0 0 - 0.5 M
[NH3] = 0.50 (M)
NH3 is a weak base with Kb = 1.8 * 10-5 . NH3 dissolved in water dissociates weakly to produce OH-.
[OH-] = ( Kb * [NH3] ) 1/2 = ( 1.8 * 10-5 * 0.5) 1/2 (M) = 0.003 (M)
pOH = - log[OH-] = - log ( 0.003) = 2.52
pH = 14 - pOH = 14 - 2.52 = 11.48
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