For the following gaseous equilibria X,Y and Z at 300K
`X:2SO_(2)(g)+O_(2)(g)hArr 2SO_(3)(g)`
`Y: PCl_(5)(g)hArr PCl_(3)(g)+Cl_(2)(g)`
`Z : 2HI(g) hArr H_(2)(g)+I_(2)(g)`
ratio of `K_(p)` and `K_(c)` in the increasing order is `:`

Options

A. `X=Y=Z`
B. `X ltY lt Z`
C. `X lt Z lt Y`
D. `Z lt Y lt X`

Answer

C

Explanation

For `X: 2SO_(2)+O_(2)hArr 2SO_(3)`
`Delta n_(g)=-1`
`:. (K_(p))/(K_(c))=(RT)^(-1)=(0.0821xx300)^(-1)`
`=(1)/(24.63)`
For `Y: PCl_(5)hArr PCl_(3)+Cl_(2)`
`Deltan_(g)=2-1=1`
`:. (K_(p))/(K_(c))=RT =24.63`
For `Z: 2HI hArrH_(2)+I_(2)`
`Deltan_(g)=0`
`:. (K_(p))/(K_(c))=(RT)^(0)=1`
Clearly, `K_(p)//K_(c)` increases in the order
`X ltZltY`.