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Equilibrium concentration at 1000K?
For the following reaction, Kc = 255 at 1000K.
CO (g) + Cl2 (g) <--> COCl2 (g)
A reaction mixture initially contains a CO concentration of 0.1550 M and a Cl2 concentration of 0.170 M at 1000K.
What is the equilibrium concentration of CO at 1000K?
What is the equilibrium concentration of Cl2 at 1000K?
What is the equilibrium concentration of COCl2 at 1000K?
I got it set up in the ICE table like this:
CO + Cl2 <--> COCl2
I 0.1150 0.170 0
C -x -x +x
E 0.1150-x 0.170-x x
And I have the formula as:
255 = x / ((0.1150-x)(0.170-x))
But this is where I run into problems. For some reason, no matter what I do, I always get the wrong answer. Can someone figure this through step-by-step please?
1 Answer
- DavidBLv 71 decade agoFavorite Answer
your set up to this point
255 = x / ((0.1150-x)(0.170-x))
seems correct. how are you solving this equation? - Kc is quite large so we cannot use the approximation and need to solve the quadratic. First multiply out the terms to get the quadratic in a solvable form
this give us
255x^2 - 73.675x + 4.985 = 0
solve the quadratic for x and use it to find the equilibrium concentrations.