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A vessel at 1000K contains CO(2)(g) at 2...

A vessel at `1000K` contains `CO_(2)(g)` at `2` atm pressure. When graphite is added the following equilibrium is established.
`CO_(2)(g)+C(s) hArr 2CO(g)`
the toal pressure at equilibrium is 3 atm. The value of `K_(p)` is

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The correct Answer is:
4

`CO_(2)(g)+C(s) hArr2CO(g)`
`2-x 2x`
`:.2-x+2x=3`
`x=1`
`P_(CO_(2))=2-1=1`atm, `P_(CO)=2x=2xx1=2` atm
`K_(p)=((P_(CO))^(2))/(P_(CO_(2)))=((2)^(2))/1=4`
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