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The reaction of the weak acid HCN with the strong base KOH is: HCN(aq) + KOH(aq)

ID: 1073926 • Letter: T

Question

The reaction of the weak acid HCN with the strong base KOH is: HCN(aq) + KOH(aq) rightarrow HOH(l) + KCN(aq) To compute the pH of the resulting solution if 57mL of 0.79 M HCN is mixed with 16mL of 0.39 KOH we need to start with the stoichiometry. Let's do just the stoich in steps: How many moles of acid? How many moles of base? What is the limiting reactant? How many moles of the excess reactant after reaction? What is the concentration of the excess reactant after reaction? What is the concentration of the pH active product after reaction?

Explanation / Answer

    HCN + KOH ----------> KCN + H2O

no of moles of HCN = molarity * volume in L

                                 = 0.79*0.057 = 0.045moles

no of moles of KOH = molarity * volume in L

                                 = 0.39*0.016   = 0.00624moles

1 mole of HCN react with 1 mole of KOH

KOH is limiting reactant

HCN is excess reactant

                   HCN    +     KOH ----------> KCN + H2O

I               0.045            0.00624            0

C             -0.00624        -0.00624          0.00624

E             0.03876           0                     0.00624

no of moles of excess reactatn after complete of reaction HCN = 0.045-0.00624 = 0.03876moles

molarity of HCN = no of moles/total volume in L

                            = 0.03876/0.073   = 0.53M

molarity of KCN = no of moles/total volume in L

                           = 0.00624/0.073 = 0.0855M

PH = PKa + log[KCN]/[HCN]

      = 9.2 + log0.0855/0.53

      = 9.2-0.7923   = 8.4077 >>>>answer

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