`K_(p)` for the reaction `H_(2)(g)+(1)/(2)O_(2)(g)hArrH_(2)O(l)` is` 8.0 "bar"^(-3//2)` at T kelvin temperature. If vapour pressure of `H_(2)O` is 2.0 bar at same temperature then `K_(P)^(0)` for the reaction `2H_(2)(g)+O_(2)(g)hArr2H_(2)O(g)` is

Options

A. `8.0`
B. 64
C. 16
D. 256

Explanation

`H_(2)(g)+(1)/(2)O_(2)(g)hArrH_(2)O(l)`
`k_(p_(i))=8"bar"^(-3//2)`
`H_(2)O(l)hArrH_(2)O(g)`
`K_(p_(2))=V.P.` of `H_(2)O=2` bar
`H_(2)(g)+(1)/(2)O_(2)(g)hArrH_(2)O(g)`
`K_(P)=K_(p_(i))xxk_(p_(2))`
`2H_(2)(g)+O_(2)(g)hArr2H_(2)O(g)`
`K_(p)=(k_(p_(1))xxK_(p_(2))^(2)`
`(8xx2)^(2)"bar"^(-1)=256 "bar"^(1)`
`k_(p)^(0)=256`