To study the decomposition of hydrogen iodide, a student fills an evacuated 3 litre flask with 0.3 mol of HI gas and allows the reaction to proceed at `500^(@)C`. At eauilibrium he found the concentration of HI which is equal to 0.05 M. Calculate `K_(C)` and `K_(P)` for this reaction.

Explanation

`V=3L`
`[HI]_("initial")=(0.3" mol")/(3L)=0.1M`
`[HI]_(eq)=0.05M`
`2HI(g)hArrH_(2)(g)+I_(2)(g)`

`K_(C)=([H_(2)][I_(2)])/([HI]^(2))`
`=(0.025xx0.025)/(0.05xx0.05)`
`K_(C)=0.25`
`K_(P)=K_(C)(RT)^(Deltang)`
`Deltan_(g)=2-2=0`
`K_(P)=0.25(RT)^(0)=0.25`