2. Given the following information, use an ICE table to calculate the equilibrium concentration of BrCl.[Br2]i = 0.225[Cl2]i = 0.125Kc = 0.0875Br2(g)+ Cl2(g) ⇌ 2BrCl(g)0.104 M0.050 M0.204 M0.153 M
Question
- Given the following information, use an ICE table to calculate the equilibrium concentration of BrCl.[Br2]i = 0.225[Cl2]i = 0.125Kc = 0.0875Br2(g)+ Cl2(g) ⇌ 2BrCl(g)0.104 M0.050 M0.204 M0.153 M
Solution
The ICE table stands for Initial, Change, and Equilibrium. It's a table that's used to calculate the equilibrium concentrations of reactants and products in a chemical reaction. Here's how you can use it to solve this problem:
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Write down the balanced chemical equation:
Br2(g) + Cl2(g) ⇌ 2BrCl(g)
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Set up the ICE table. The initial concentrations are given as [Br2]i = 0.225 M and [Cl2]i = 0.125 M. Since no initial concentration is given for BrCl, we can assume it's 0.
Br2 Cl2 BrCl Initial 0.225 0.125 0 Change -x -x +2x Equil. 0.225-x 0.125-x 2x -
Write the equilibrium expression using the law of mass action (Kc = [products]/[reactants]):
Kc = [BrCl]^2 / ([Br2][Cl2]) = 0.0875
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Substitute the equilibrium concentrations from the ICE table into the equilibrium expression:
0.0875 = (2x)^2 / ((0.225 - x)(0.125 - x))
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Solve this equation for x. This is a quadratic equation, and you can use the quadratic formula to solve it.
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Once you have the value of x, substitute it back into the equilibrium row of the ICE table to find the equilibrium concentrations of Br2, Cl2, and BrCl.
Please note that solving the quadratic equation might be complex and you might need to use a calculator or a software to get the exact value of x.
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