Part A What is the equilibrium concentration of CO at 1000 K? Express your answe

Question

Part A

What is the equilibrium concentration of CO at 1000 K?

Express your answer in molarity to three significant figures.

Part B

What is the equilibrium concentration of Cl2 at 1000 K?

Express your answer in molarity to three significant figures.

For the following reaction, Kc = 255 at 1000 K.
CO (g) + Cl2 (g) COCl2 (g)
A reaction mixture initially contains a COconcentration of 0.1510 M and a Cl2concentration of 0.174 M at 1000 K.

You may want to reference ( pages 628 - 635)section 16.8 while completing this problem.

Part A

What is the equilibrium concentration of CO at 1000 K?

Express your answer in molarity to three significant figures.

[CO]=   M

Part B

What is the equilibrium concentration of Cl2 at 1000 K?

Express your answer in molarity to three significant figures.

[Cl2]= M

Explanation / Answer

consider the given reaction

CO + Cl2 ---> COCl2

the equilibrium constant is given by

Kc = [COCl2] / [CO] [Cl2]

now

consider the given reaction

CO + Cl2 ---> COCl2

using the ICE table

initial conc of CO , Cl2 , COCl2 are 0.151 , 0.174 ,0

change in conc of CO , Cl2 , COCl2 are -x , -x ,+x

equilibrium conc of CO,Cl2 ,COCl2 are 0.151-x, 0.174 -x ,x

now

Kc = [COCl2] / [CO] [Cl2]

255 = [x] / [0.151-x] [0.174-x]

255 ( 0.026274 -0.325x + x2) = x

6.69987 - 82.875x + x2 = x

x2 - 83.875x + 6.69987 = 0

x = 0.13665

so

at equilibrium

[CO] = 0.151 - 0.13665 = 0.01435 M

[Cl2] = 0.174 - 0.13665 = 0.03735 M

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