Respuesta :

Kb=  Kw of  water/Ka  of  the acid

Kw  of water=   1  x  10^-14
Ka  of  acid=  4.9  x10^-10
Kb= ( 1  x10^-14) / ( 4.9  x10^-10) =   2.04  x10^-5

Answer:

The value of [tex]K_b[/tex] is [tex]2.04\times 10^{-5}[/tex].

Explanation:

[tex]HCN\rightleftharpoons H^++CN^-[/tex]

The dissociation constant of the HCN (acid)= [tex]K_a=4.9\times 10^{-10}[/tex]

Ionic product of water = [tex]K_w=1\times 10^{-14}[/tex]

[tex]K_b[/tex] for [tex]CN^-[/tex](base) =[tex]K_b=?[/tex]

[tex]K_w=K_a\times K_b[/tex]

[tex]K_b=\frac{1\times 10^{-14}}{4.9\times 10^{-10}}=2.04\times 10^{-5}[/tex]

The value of [tex]K_b[/tex] is [tex]2.04\times 10^{-5}[/tex].

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