Lexan Pure

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Lexan Pure
Lexan is a plastic used to make CD's, eyeglass lenses, and bullet-proof glass. One of the compounds used to?

Lexan is a plastic used to make CD's, eyeglass lenses, and bullet-proof glass. One of the compounds used to make Lexan is phosgene (COCl2) , an extremely poisonous gas. Phosgene decomposes by the reaction
COCl2(g) <--> CO(g) + Cl2(g)
for which Kp = 6.8 x 10 ^ -9 at 100 degrees Celsius. If pure phosgene at an initial pressure of 1.0 atm decomposes, calculate the equilibrium pressures of all species.

COCl2(g) <--> CO(g) + Cl2(g)
Kp = 6.8 x 10^-9 at 100°C

initial: p(CO) = 0 atm; p(Cl2) = 0 atm; p(COCl2) = 1.0 atm
Change: p(CO) = x atm; p(Cl2) = x atm; p(COCl2) = 1.0 - x atm

Kp = x^2/(1.0 - x) = 6.8 x 10^-9

x^2 = 6.8 x 10^-9(1.0 - x) = 6.8 x 10^-9 - 6.8 x 10^-9*x Rearrange and solve using the quadratic equation;

x^2 + 6.8 x 10^-9*x - 6.8 x 10^-9 = 0
x = 0.000083063 = 8.31 x 10^-5 atm
p(CO) = p(Cl2) = 8.31 x 10^-5 atm
p(COCl2) = 1.0 atm - 0.000083063 atm = 1.0 atm

Note: The quadratic equation was not necessary in this case.

At the given temperature the calculation shows that there is very little dissociation occurring.

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