Question

In: Chemistry

The pH of 0.30 M solution of HCN is 5.20. Calculate the Ka value for HCN.

The pH of 0.30 M solution of HCN is 5.20. Calculate the Ka value for HCN.

Solutions

Expert Solution

Let a be the dissociation of the weak acid,HA
                            HA <---> H + + A-

initial conc.            c               0         0

change               -ca            +ca      +ca

Equb. conc.         c(1-a)          ca       ca

Dissociation constant , Ka = ca x ca / ( c(1-a)

                                         = c a2 / (1-a)

In the case of weak acids α is very small so 1-a is taken as 1

So Ka = ca2

==> a = √ ( Ka / c )

Given c = concentration = 0.30 M

       pH = 5.20

- log[H+] = 5.20

      [H+] = 10-5.20

             = 6.31x10-6 M

[H+] = ca = 6.31x10-6 M

           a = (6.31x10-6 M ) / 0.30

              = 2.10x10-5

So Ka = ca2

         = 0.30 x (2.10x10-5)2

         = 1.33x10-10


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