The equilibrium constant at `298K` for a reaction, `A+BhArrC+D` is 100. If the initial concentrations of all the four species were 1M each, then equilibirum concentration of `D` (in mol`L^(-1)`) will be

Options

A. `0*182`
B. `0*818`
C. `1*818`
D. `1*182`

Answer

C

Explanation

`{:(,A,+,B,hArr,C,+,D),("Intial conc.",1 M,,1 M,,1 M,,1 M),(" At eqm.",1-x,,1-x,,1+x,,1+x):}`
` K_(c) = ([C] [D])/([A] [B])=(1+x)^(2)/(1-x)^(2)=100` (Given)
or `(1+x)/(1-x) = 10 or 1+x = 10- 10x`
or ` 11x = 9 or x= 9/11 = 0.818`
` :. " Equilibrium concentration of " D = 1 + 0.818`
` = 1.818 " mol " L `