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. 0.18 atm
B. 1.8 atm
C. 2 atm
D. 2.8 atm

Answer

B

Explanation

`{:(,CO_(2)(g),+,C(s),hArr,2CO(g)),("Initial :",0.5 atm,,,,),("Eqm. : ",(0.5-x),,,,2x):}`
Thus, `(0.5-x)+2x=0.8` or `x=0.3 atm`
`:. p_(CO_(2))=0.5-0.3=0.2,`
`p_(CO)=2x=2xx0.3=0.6 atm`
`K=(p_(CO))^(2)//p_(CO_(2))`
`=(0.6)^(2)//0.2=1.8 atm`