In: Chemistry
A mixture 0.500 mole of carbon monoxide and 0.400 mole of bromine was placed into a rigid 1.00 L container and the system was allowed to come to equilibrium. The equilibrium concentration of COBr2 was 0.233 M. What is the value of Kc for this reaction? CO(g) + Br2(g) ------>(equilb. arrows) COBr2(g)
Solution :-
Balanced reaction equation
Volume is 1 L so moles is nothing but the molarity for each
CO + Br2 <----- > COBr2
0.500 M 0.400 M 0
-x -x +x
0.500-x 0.400-x 0.233M
Value of x= 0.233 M
So lets calculate the equilibrium concentration of the CO and Br2
[CO]eq = 0.500 –x = 0.500 – 0.233 = 0.267 M
[Br2]eq = 0.400 –x = 0.400 – 0.233 = 0.167 M
Now lets calculate the equilibrium constant
Kc= [COBr2]/[CO]/[Br2]
Lets put the values in the formula
Kc = [0.233]/[0.267][0.167]
Kc= 5.23
So the equilibrium constant is 5.23