For the reaction
`A + B hArr 2C `
the value of equilibrium constant is 100 at 298 K. If the initial concentration of all the three species is 1 M each, then the equilibrium concentration of C is ` x xx 10^(-1) M` . The value of x is _______
(Nearest integer)

Answer

25

Explanation

`{:(,A + ,B hArr 2C,K_(C) = 100),(t = 0,1,1,1),(t = t_(eq),1 -x,1-x,1 +2x):}`
`K_(C) = ((1 + 2 x )^(2))/((1 - x)^(2))`
`100 = ((1 + 2x)^(2))/((1 - x)^(2)) ` of [C]
`10 = ((1 + 2x))/((1 - x))`
`x = (3)/(4)`