J.R. S. answered 06/14/21
Ph.D. University Professor with 10+ years Tutoring Experience
HCN + KOH ==> KCN + H2O ... BALANCED EQUATION
moles HCN before reaction = 53 ml x 1 L/1000 ml x 0.65 moles/L = 0.03445 moles HCN
moles KOH before reaction = 34 ml x 1 L/1000 ml x 0.39 moles/L = 0.01326 moles KOH
Since the HCN and KOH react in a 1:1 mole ratio (see balanced equation), all the KOH will be used up, and there will be excess HCN.
The amount of excess HCN = 0.03445 moles - 0.01326 moles = 0.02119 moles HCN after reaction
Moles of product (KCN) formed = 0.01326 moles KCN after reaction (1:1 mol ratio from balanced equation)
Converting these to concentration units, we have a total volume of 53 ml + 34 ml =87 mls = 0.087 L
[HCN] = 0.02119 moles / 0.087 L = 0.244 M
[KCN] = 0.01326 moles / 0.087 L = 0.152 M
THIS IS A BUFFER
From the Ka of 3.5x10-4 for HCN we can find the pKa
pKa = -log Ka = -log 3.5x10-4 = 3.46
I will use the Henderson Hasselbalch equation to find the pH
pH = pKa + log [KCN] / [HCN] = 3.46 + log (0.152/0.244)
pH = 3.46 -0.21
pH = 3.25
[H+] = 5.6x10-4 M