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A vessel at 1000 K contains carbon dioxi...

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`.

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`{:(,CO_(2)(g)+C(s) hArr 2CO(g)),("Initial",0.5 "atm 0 atm"),("At eqm.",(0.5-x)"atm "2x" atm"):}`
At equilibrium the total pressure is 0.8 atm.
`P_("total")=P_(CO_(2))+P_(CO)`
`0.8=(0.5-x)+2x`
`x=0.3`atm
Now, `K_(p)=((P_(CO))^(2))/(P_(CO_(2)))=(0.36)/(0.2)=1.8` atm
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