Question

When 100.0 mL of weak acid HA were titrated with 0.09381 M RbOH, 27.36 mL were...

When 100.0 mL of weak acid HA were titrated with 0.09381 M RbOH, 27.36 mL were required to reach the equivalence point.

(a) Find the molarity of HA.

(b) What is the formal concentration of A- at the equivalence point?

(c) The pH at the equivalence point was 10.99. Find pKa for HA.

(d) What was the pH when only 19.47 mL of RbOH has been added?

Homework Answers

Answer #1

a) at equivalence point HA moles = RbOH moles

Hence MV of acid = MV of base

M x 100 = 0.09381 x27.36

M of acid = 0.02567 M

b) A- moles = acid moles used = 0.02567 x 100/1000 = 0.002567

volume = 100 ml + 27.36 = 127.36 ml = 0.12736 L

[A-] = ( 0.002567/0.12736) = 0.02

c) pH = 10.99 , pOH = 14-10.99 = 3.01 , [OH-] = 10^ -3.01 = 0.00098 M

at equilibrium we have reaction   A- + H2O (l) <---> HA(aq) + OH- (aq)

[HA] = [OH-] =0.00098 M , [A-] = 0.02 ( nearly)

Kb = [HA][OH-]/[A-] = ( 0.00098) ^2 / ( 0.02) = 4.8 x 10^ -5

Ka = Kw/Kb = ( 10^ -14) / ( 4.8x10^-5) = 2.08 x 10^ -10

d) RbOH moles = 0.09381 x 19.47/1000 = 0.0018265 = A_ moles

HA moles left after reacting RbOH moles = 0.00257-0.0018265 = 0.00074

pH = pka + log [A-]/[HA]

pH = 9.55 + log [ 0.0018265 /0.00074)

   = 9.94

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