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Consider the following reaction and associated equilibrium constant: a A ( g ) ?

ID: 794244 • Letter: C

Question

Consider the following reaction and associated equilibrium constant:
aA(g)?bB(g), Kc = 3.8
Part A: Find the equilibrium concentrations of A and B for a=1 and b=1. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction.       Part B: Find the equilibrium concentrations of A and B for a=2 and b=2. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction. Part C: Find the equilibrium concentrations of A and B for a = 1 and b = 2. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction.
Part A: Find the equilibrium concentrations of A and B for a=1 and b=1. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction.       Part B: Part A: Find the equilibrium concentrations of A and B for a=1 and b=1. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction.       Part B: Part A: Find the equilibrium concentrations of A and B for a=1 and b=1. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction. Part A: Find the equilibrium concentrations of A and B for a=1 and b=1. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction.       Part B: Find the equilibrium concentrations of A and B for a=2 and b=2. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction. Part C: Find the equilibrium concentrations of A and B for a = 1 and b = 2. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction. Find the equilibrium concentrations of A and B for a=2 and b=2. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction. Part C: Find the equilibrium concentrations of A and B for a = 1 and b = 2. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction. Find the equilibrium concentrations of A and B for a=2 and b=2. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction. Part C: Find the equilibrium concentrations of A and B for a = 1 and b = 2. Assume that the initial concentration of A is 1.0 M and that no B is present at the beginning of the reaction.

Explanation / Answer

You have to make an ICE chart.
so...
I 1.0 1.0 0
C -x -x +x
E 1-x 1-x x

The K equilibrium = [products]/ [reactants]
3=x/(1-x)(1-x) which equals 3= x/(1-x)*2
You take the square root of both sides and solve for x
x=.4638 but the question wants to know the concentrations
1-x = .5362
[A]=.5362 [B]=.5362 [C]= .93
Don't forget to check for the number of sig figs the problem wants.

You can by putting the numbers in the K equilibrium equation and see if it equals 3.