The equilibrium constant of acetic acid in an aqueous solution of concentration c is given by

Options

A. `K=(cwedge_(c )^(2))/(wedge^(infty)+wedge_(c ))`
B. `K=(cwedge_(c )^(2))/(wedge^(infty)(wedge^(infty)-wedge_(c )))`
C. `K=(cwedge_(c )^(2))/(wedge^(infty)+wedge_(c ))`
D. `K=(cwedge_(c )^(2))/(wedge^(infty)(wedge^(infty)+wedge_(c )))`

Answer

C

Explanation

`CH_(3)COOH rarr CH_(3)COO+H^(+)k=(calpha^(2))/(1-alpha)`
since `alpha=wedge_(c )//wedge^(infty)` we get =`(c(wedge_(c ))//wedge^(infty)^(2))/(wedge^(infty(wedge^(infty))//wedge_(c ))`