Consider the titration of a 26.0 −mL sample of 0.175 M CH3NH2 with 0.150 M HBr. Determine each of the following.
1. the pH at 4.0 mL of added acid
2.the pH at the equivalence point
3.the pH after adding 6.0 mL of acid beyond the equivalence point
1)
millimoles of CH3NH2 = 26 x 0.175 = 4.55
millimoles of HBr = 4 x 0.150 = 0.6
CH3NH2 + HBr ----------------> CH3NH3+Br-
4.55 0.6 0
3.95 0 0.6
pOH = pKb + log [CH3NH3+Br- / CH3NH2]
pOH = 3.30 + log (0.6 / 3.95)
pOH = 2.48
pH + pOH = 14
pH = 11.52
2)
at equilvalece point :
volume of HBr = 26 x 0.175 / 0.150 = 30.33 mL
here only salt present .
salt concentration = C = 26 x 0.175 / (26 + 30.33)
= 0.081 M
here
pH = 7 - 1/2 [pKb + log C] = 7 - 1/2 [3.30 + log 0.081]
pH = 5.90
3 )
volume of acid = 6 + 30.3 = 36.3
millimoles of acid = 36.3 x 0.150 = 5.445
millimoles of base = 4.55
acid millimoles remains after reaction = 5.445 -4.55 = 0.895
acid concetration = 0.895 / (36.5 +26)
= 0.0144 M
pH = -log (0.0144)
pH = 1.84
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