For the following reaction in gaseous phase `CO(g)+1/2O_(2) rarr CO_(2) K_(P)/K_(c)` is

Options

A. `(RT)^(1//2)`
B. `(RT)^(-1//2)`
C. `(RT)`
D. `(RT)^(-1)`

Answer

B

Explanation

For a gaseous phase reaction `K_(p)` and `K_(c)` are related as
`K_(p)=K_(c)(RT)^(Deltan_(g))`
For the given reaction,
`CO(g)+(1)/(2)O_(2)(g)toCO_(2)(g)`
`Deltan_(g)=1-(1+0.5)=-0.5or(1)/(2)`
`:.K_(p)=K_(c)(RT)^(1/(2))or(K_(p))/(K_(c))=(RT)^(1/2)`