Explanation:
The relation between [tex]K_a\&K_b[/tex] is given by :
[tex]K_w=K_a\times K_b[/tex]
Where :
[tex]K_w=1\times 10^{-14}[/tex] = Ionic prodcut of water
The value of the first ionization constant of sodium sulfite = [tex]K_{a1}=1.4\times 10^{-2}[/tex]
The value of [tex]K_{b1}[/tex]:
[tex]1\times 10^{-14}=1.4\times 10^{-2}\times K_{b1}[/tex]
[tex]K_{b1}=\frac{1\times 10^{-14}}{1.4\times 10^{-2}}=7.1\times 10^{-13}[/tex]
The value of the second ionization constant of sodium sulfite = [tex]K_{a2}=6.3\times 10^{-8}[/tex]
The value of [tex]K_{b2}[/tex]:
[tex]1\times 10^{-14}=6.3\times 10^{-8}\times K_{b1}[/tex]
[tex]K_{b1}=\frac{1\times 10^{-14}}{6.3\times 10^{-8}}=1.6\times 10^{-7}[/tex]
