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A vessel of '1000 K' contains 'CO2', wit...

A vessel of '1000 K' contains 'CO_2', with a pressure of '0.5 atm .' Some of the 'CO_2' converted into 'CO' on the addition of graphite. The value of 'K' if the total pressure at equilibrium is '0.8 atm'. is:

A

`0.36 atm`

B

`6.8 atm`

C

`1:8.atm`

D

`3.2 atm`

Text Solution

Verified by Experts

The correct Answer is:
C

`(CO _(2) (g) + C (s) hArr 2 CO (g))`
`{:("Initial" , 0.5 atm, 0 atm), ( "At equlibrium", (0.5 -x), "2xatm"):}`
At equlibrium , the preesure is `0.8 atm`
`P _("total") = P _(CO _(2)) + P_(CO)`
`0. 8 = (0.5 - x) + 2x = 0. 5 +x or x = 0.3 atm`
Applying the law of mass action, `K _(p) = ((p _(CO ))^(2))/( P _(CO _(2))) = ((2 xx 0.3 ) ^(2))/( 0.2 ) = (0. 36)/( 0. 2) = 1.8 atm`
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