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Types of Equillibrium

A vessel at 1...

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A vessel at 100K contains ${C O}_{2}$ with a pressure of 0.5 atm. Some of the ${C O}_{2}$ is converted into CO on addition of graphite, calculate the value of K, if total pressure at equilibrium is 0.8 atm.

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Solution

${C O}_{2} + C ⟶ 2 C O$
Initial pressure, $0.5 a t m$
Final pressure on addition of graphite ${C O}_{2} = 5 - x C O = 2 x$
total equilibrium pressure $= 0.5 + x$
but givenn $= 0.8 a t m$
$0.5 + x = 0.8 a t m \Rightarrow x = 0.3 a t m$
$K = \frac{{[C O]}^{2}}{[{C O}_{2}] [C]} = \frac{{(2 \times 0.3)}^{2}}{0.3} = 1.2$

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