A vessel at `1000 K` contains carbon dioxide with a pressure of `0.5 atm`. Some of the carbon dioxide is converted to carbon monoxide on addition of graphite. Calculate the value of `K_(p)` if total pressure at equilibrium is `0.8 atm`.

Explanation

`{:(,,CO_(2(g)),+,C_((s)),hArr,2CO_((g))),(,"Initial pressure",0.5,,0,,0),(,"Final pressure",(0.5-P),,0,,2P):}`
`:. 0.5-P+2P=0.8`
`:. P=0.3 atm`
Therefore, final partial pressures at equilibrium are
`P'_(CO_(2))=0.5-0.3=0.2 atm`
`P'_(CO)=2P=2(0.3)=0.6 atm`
`:. K_(p)=((P'_(CO)))/(P'_(CO_(2)))=((0.6)^(2))/((0.2))=1.8 atm`