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t Using the Equilibrium Constant The reversible chemical reaction A B C +D has t

ID: 879724 • Letter: T

Question

t Using the Equilibrium Constant The reversible chemical reaction A B C +D has the following equilibrium constant CID 5.4 AlDB Part A Initially, only A and B are present, each at 2.00 M. What is the final concentration of A once equilibrium is reached? Express your answer to two significant figures and include the appropriate units 0.7 M Submit Hints My Answers Give Up Review Part Incorrect, Try Again Part B What is the final concentration of D at equilibrium if the initial concentrations are Al- 1.00 Mand Bl 2.00 M? Express your answer to two significant figures and include the appropriate units

Explanation / Answer

A + B <-----------------> C + D

2     2                          0      0 -------------------> initial

2-x 2-x                     x         x -----------------> equilibrium

Kc=[C][D]/[A][B]

5.4 = x^2 / (2-x)^2

2.32 = x / 2-x

4.65 - 2.32 x = x

4.65 = 3.32 x

x =1.4

equilibrim consentration of A = 2-x = 2-1.4 = 0.60 M

[A] = 0.60 M       (two significant figures)

Part B )

A + B <-----------------> C + D

1     2                          0      0 -------------------> initial

1-x 2-x                     x         x -----------------> equilibrium

Kc=[C][D]/[A][B]

5.4 = x^2 / (2-x) (1-x)

5.4 = x^2 / 2-2x -x +x^2

5.4 x^2 -16.2 x +10.8 = x^2

4.4 x^2 - 16.2 x +10.8 =0

x = 0.87

equilibrium concentration of D = x = 0.87 M