Answer:
Equilibrium concentration of CO is [tex]2.2\times 10^{-3}[/tex] M.
Explanation:
Chemical Reaction: [tex]2CO(g)+O_{2}(g)\rightleftharpoons 2CO_{2}(g)[/tex]
Equilibrium constant for this reaction in terms of concentration is represented as: [tex]K_{c}=\frac{[CO_{2}]^{2}}{[CO]^{2}[O_{2}]}[/tex]
where, [tex][CO_{2}][/tex], [tex][CO][/tex] and [tex][O_{2}][/tex] represent equilibrium concentration of [tex]CO_{2}[/tex], CO and [tex]O_{2}[/tex] respectively.
Here, [tex][CO_{2}][/tex] = 0.0010 M , [tex][O_{2}][/tex] = 0.0015 M and [tex]K_{c}=1.4\times 10^{2}[/tex]
So, [tex][CO]=\sqrt{\frac{[CO_{2}]^{2}}{K_{c}.[O_{2}]}}[/tex] M = [tex]\sqrt{\frac{(0.0010)^{2}}{(1.4\times 10^{2})\times (0.0015)}}[/tex] M = [tex]2.2\times 10^{-3}[/tex] M
So, equilibrium concentration of CO is [tex]2.2\times 10^{-3}[/tex] M.