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A mixture initially contains A, B, and C in the following concentrations: [A] =

ID: 889873 • Letter: A

Question

A mixture initially contains A, B, and C in the following concentrations: [A] = 0.400 M , [B] = 1.05 M, and [C] = 0.300 M . The following reaction occurs and equilibrium is established:

A+2BC

At equilibrium, [A] = 0.290 M and [C] = 0.410 M . Calculate the value of the equilibrium constant, Kc.

Part A

Determine the value of the equilibrium constant, Kgoal, for the reaction

CO2(g)C(s)+O2(g),    Kgoal=?

by making use of the following information:

2CO2(g)+2H2O(l)CH3COOH(l)+2O2(g),   K1=5.40×1016

2H2(g)+O2(g)2H2O(l),                            K2=1.06×1010

CH3COOH(l)2C(s)+2H2(g)+O2(g),          K3=2.68×109

Express your answer numerically.

Part B

Determine the equilibrium constant, Kgoal, for the reaction

4PCl5(g)P4(s)+10Cl2(g),    Kgoal=?

by making use of the following information:

P4(s)+6Cl2(g)4PCl3(g),       K1=2.00×1019

PCl5(g)PCl3(g)+Cl2(g),       K2=1.13×102

Express your answer numerically.

Kgoal =

Explanation / Answer

part A

k1 = [CH3COOH][O2]2 / [H2O]2 [CO2]2

k2= [H2O]2 / [O2][H2]2

k3= [O2][H2]2[C]2 / [CH3COOH]

Kgoal = [O2][C] / [CO2] = (k1 x k2 x k3)1/2 = (5.40×1016 x 1.06×1010 x 2.68×109 )1/2 = 1.2385 x 10-7

Part B:

Similarly as above

Kgoal = [Cl2]10[P4]/[PCl5] = (k2)4 / k1 = (1.13×102)4/2.00×1019 = 8.1523 x 10-27

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