CoCl2<->CO+Cl2
Keq=7.6*10^-4 M CoCl2 is introduced in a closed container until its concentration is .890 M. What will be the concentration of Cl2 once the reaction has reached equilibrium?
To find the concentration of Cl2 at equilibrium, we need to use the equation for equilibrium constant (Keq) and set up an ICE (Initial-Change-Equilibrium) table.
Given:
Initial concentration of CoCl2 (C0) = 0.890 M
Equilibrium constant (Keq) = 7.6 x 10^-4
The balanced equation for the reaction is: CoCl2 <-> CO + Cl2
Now, let's setup the ICE table:
CoCl2 <-> CO + Cl2
Initial: 0.890 M 0 M 0 M
Change: -x +x +x
Equilibrium: 0.890 M - x x x
As per the reaction stoichiometry, the change in concentration for Cl2 is the same as the initial concentration of CO.
Now, we can substitute the equilibrium concentrations into the expression for Keq:
Keq = ([CO] * [Cl2]) / [CoCl2]
7.6 x 10^-4 = (x * x) / (0.890 - x)
Since the equilibrium constant (Keq) is very small, we can assume that the equilibrium concentration of CoCl2 will be approximately 0.890 M after the reaction reaches equilibrium. So, we substitute 0.890 M for (0.890 - x):
7.6 x 10^-4 = (x * x) / (0.890)
To solve for x, we rearrange the equation:
x * x = 7.6 x 10^-4 * 0.890
x^2 = 6.764 x 10^-4
Taking the square root of both sides, we find:
x ≈ 0.026 M
Therefore, the concentration of Cl2 at equilibrium will be approximately 0.026 M.
To find the concentration of Cl2 at equilibrium, we need to use the equilibrium constant expression and the initial concentration of CoCl2.
The chemical equation is: CoCl2 <-> CO + Cl2
The equilibrium constant expression, Keq, is given as: Keq = [CO][Cl2] / [CoCl2]
We are given the value of Keq as 7.6 * 10^-4. Let's substitute the known values into the equation:
7.6 * 10^-4 = [CO][Cl2] / [.890]
We need to solve for [Cl2], so rearrange the equation:
[Cl2] = (Keq * [CoCl2]) / [CO]
We are given the concentration of CoCl2 as .890 M, but we do not have the concentration of CO. Since we don't have any information about [CO], we cannot find the exact value of [Cl2] at equilibrium.
If you have the concentration of CO or any additional information, please provide it so we can calculate the concentration of Cl2 at equilibrium.
You want to be careful with the caps key. CoCl2 is cobaltous chloride. COCl2 is phosgene, a huge difference.
.........COCl2 ==> CO + Cl2
I........0.890......0.....0
C........-x.........x.....x
E.......0.890-x.....x.....x
Kc = (CO)(Cl2)/(COCl2)
Substitute the E line and solve for x = (Cl2) = (CO)