COCl2(g) --> CO(g) + Cl2(g) Kc = 8.3 x 10^-4 (360 degrees celcius). Calc equilibrium concentration for all chemicals when each amount of phosgene decomposes and reaches equilibrium in a 10.0 L flask: (a) 5.00 mol of COCl2 (b) 0.100 mol of COCl2
Let x represent the change I concentration. Assuming 2x << 5.00 mole we have
(a) K = x^2/ 5.00 so x^2 =. 8.3 x 10^-4 / 0.5. Note 0.5 is the conc. because 5.0 mole / 10.0 L
Therefore x = sqrt ( 8.3 x 10^-4) /0.5
(b). K = (x) (x)/( 0.01- x)^2 Note 0.01 is the conch. Because 0.1 mole/10.0 L
Therefore x = sqrt( K/ (0.01 -x)^2
= sqrt ( 0.00083/ (0.01-x)^2
x^2 = 0.00083/0.0001- 0.02x + x^2
By trial and error x=. 0.0015 M
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