The following equilibrium exists in a closed vessel in `1L` capacity `A(g)+3B(g)hArr4C(g)`
initial cocentration of `A(g)` is equal to that `B(g)`. The equilibrium concentration of `A(g)` and `C(g)` are equal. `K_(c)` for the reaction is

Answer

8

Explanation

`A(g)=3B(g)hArr4C(g)`
`a-x a-3x 4x`
`a-x =4x a=5x`
`[A]=a-x=5x-x=4x`
`[B]=a-3x=5x-3x=2x`
`[C] =4x`
`K_(c)=([C]^(4))/([A]xx[B]^(3))`
`=((4x)^(4))/(4x xx(2x)^(3))`
`=8`