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`.

Options

A. 1.8 atm
B. 3 atm
C. 0.3 atm
D. 0.18 atm

Answer

A

Explanation

`CO_(2)(g)+C(S) Leftrightarrow 2CO(g)`
`{:(,"Initial",0.5atm,-),(,"At eqi",(0,5-P),2 p atm):}`
This is a case of heterogeneous equilibrium C(s) being solid is not considered
`P_(CO_(2))+P_(CO)=p_("total"), (0.5-p)+2p=0.8, p=0.3 atm`
`P_(CO_(2))=0.5 -0.3=0.2 atm, P_(CO)=2p =0.6 atm`
`K_(P)=(P_(CO)^(2))/(P_(CO_(2)))=(0.6 xx 0.6)/(0.2) =1.8 atm`