For a reaction `2A_((g)) hArr 2B_((g))+ C_((g)), K_e=3.75xx10^(-1)` at 1069 K. The approximate value of `K_(p)` for this reaction at the same temperature is `(R=0.082 L "bar mol"^(-1) K^(-1))`

Options

A. `2.4xx10^(-4)`
B. `3.3xx10^(-4)`
C. `33xx10^2`
D. `7.2 xx 10^4`

Answer

B

Explanation

`k_(p) = k_(c ) (RT)^(Deltan)`
`Delta_(n)= `(Total number of moles in product)-(Total number of moles in reactant)
`=3-2=1`
`rArr k_p= (3.75 xx 10^(-6)) [(0.028) (1069)]`
`=3.28 xx 10^(-4) ~~ 3.3 xx 10^(-4)`