`2SO_(2)(g)+O_(2)(g)hArr2SO_(3)(g)`
Starting with 2 mol of `SO_(2)` and 1 mol `O_(2)` in one litre flask. After some time equilibrium established. In another experiment same mol of `SO_(2)` presetn at equilibrium required 1000 ml 0.4 M `KMnO_(4)` ub acidic medium. The value of equilibrium constant `K_(C)` for the reaction is

Options

A. 0.4
B. 0.8
C. 1.6
D. 2

Answer

D

Explanation

`2SO_(2)" "+" "O_(2)" "hArr" "2SO_(3)`
`2-x " "1-(x)/(2)" "x`
`"at"eq." "1" "0.5" "1`
`K_(c)=(1)/(0.5)=2`
`"eq. of" SO_(2)="eq. of" KMnO_(4)`
moles `xx2=1xx0.4xx5`
moles of `SO_(2)` at equilibrium `=1implies2-x=1impliesx=1`