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One of the reaction that takes plece in ...

One of the reaction that takes plece in producing steel from iron ore is the reduction of iron(II) oxide by carbon monoxide to give iron metal and `CO_(2)`.
`FeO(s)+CO(g) hArr Fe(s)+CO_(2)(g), K_(p)=0.265` atm at `1050 K`
What are the equilibrium partial pressure of `CO` and `CO_(2)` at `1050 K` if the partical pressure are: `p_(CO)=1.4 atm` and `p_(CO_(2))=0.80 atm`?

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`{:(,FeO(s) + CO(g) hArr Fe(s)+, CO_2(g)),("Initial pressure","1.4 atm","0.80 atm"),:}`
`Q_p=p_(CO_2)/p_(CO)=0.80/1.4`=0.571
Since `Q_p > K_p` , the reaction will move in the backward direction . Therefore , pressure of `CO_2` will decrease and that of CO will increase to attain equilibrium.
If p is the decrease in pressure of `CO_2` , then increase in pressure of CO= p
`therefore` At equilibrium `p_(CO_2)` =(0.80-p) atm
`p_(CO)` = (1.4+p) atm
`K_p=(0.80-p)/(1.4+p)`=0.265
or 0.265 (1.4+ p) =0.80 -p
or 0.371 + 0.265 p = 0.80 - p
or 1.265 p = 0.429
or `p=0.429/1.265` =0.339 atm
At equilibrium : `p_(CO)`= 1.4+0.339 =-1.739 atm
`p_(CO_2)` =0.80 - 0.339 =0.461 atm
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