2 moles each of `SO_(3)`, CO, `SO_(2)` and `CO_(2)` is taken in a 1 L vessel. If `K_(C)` for `SO_(3) + COhArrSO_(2) + CO_(2)` is `1//9` then:

Options

A. (A) total no. of moles at equilibrium are less than `8`
B. (B) `n(SO_(#))+n(CO_(2))=4`
C. (C) `[n(SO_(2))//n(CO)]lt1`
D. (D) both (B) and (C).

Answer

D

Explanation

`SO_(3)(g)+CO(g)hArrSO_(2)(g)+CO_(2)(g)` `g=((2+x)/(2-x))^(2)`
`{:(2,2,2,2,),(2+x,2+x,2-x,2-x,x=1):}`
`n_(eeq)=3+3+1+1=8" " n(SO_(3))+n(CO_(2))=4` `(n(SO_(2)))/(n(CO))=(1)/(2)lt1`
Therefore, (D) option is correct.