If the equilibrium constant of `BOH harr B^(o+) +overset(Theta)OH` at `25^(@)C` is `2.5 xx 10^(-6)`, then equilibrium constant for `BOH +H^(o+) hArr B^(o+)+H_(2)O` at the same temperature is

Options

A. `4.0 xx 10^(-9)`
B. `4.0xx10^(-5)`
C. `2.5xx10^(8)`
D. `2.5xx10^(-6)`

Answer

C

Explanation

`{:(" BOH"hArr B^(oplus)+overset(Theta)cancel(O)H(K_(b)=2.5 xx 10^(-6)),,),(H^(oplus)+overset(Theta)cancel(O)H hArr H_(@)O (K=(1)/(K_(w))),,),(ulbar(BOH+H^(oplus) hArr B^(oplus)+H_(2)O K'=?),,):}`
`:. K'=K_(b)xx(1)/(K_(w))=(2.5 xx10^(-6))/(10^(-14))=2.5 xx10^(8)`.