If `beta_(1),beta_(2)` and `beta_(3)` are stepwise formation constants of MCl, `MCl_(2), MCl_(3)` and K is the overall formation constant of `MCl_(3)`, then ( charges omitted) `:`

Options

A. `K=betaa_(1)+beta_(2)+beta_(3)`
B. `(1)/(K)=(1)/(betaa_(1))+(1)/(beta_(2))+(1)/(beta_(3))`
C. `logK=logbeta_(1)+log beta_(2)+logbeta_(3)`
D. `p_(K)=logbeta_(1)+logbeta_(2)+logbeta_(3)`

Answer

C

Explanation

`M+ClrarrMCl, _(1)=beta_(1)`
`MCl+Cl rarr MCl_(2), K_(2)=beta_(2)`
`MCl_(2)+Clrarr MCl_(3), K_(3)=beta_(3)`
`:. M+3Clrarr MCl_(3), k_("eqm")=K`
`K=K_(1)xxK_(2)xxK_(3)`
`K=beta_(1)xxbeta_(2)xxbeta_(3)`
`log K =log beta_(1)+logbeta_(2)+log beta_(3)`