In: Chemistry
The following reaction was performed in a sealed vessel at 737 ∘C :
H2(g)+I2(g)⇌2HI(g) Initially, only H2 and I2 were present at concentrations of [H2]=3.65M and [I2]=2.90M. The equilibrium concentration of I2 is 0.0900 M . What is the equilibrium constant, Kc, for the reaction at this temperature?
Solution :-
Lets make the ICE table for the given reaction
H2(g) + I2(g) < ------ > 2 HI(g)
3.65 M 2.90 M 0
-x -x +2x
3.65-x 2.90-x =0.0900 2x
Using the equilibrium concentration of the I2 lets calculate the value of the X
2.90-x = 0.0900
x= 2.90 – 0.0900 = 2.81 M
now lets find equilibrium concentration of the H2 and HI
H2 = 3.65 M – x = 3.65 M - 2.81 M = 0.84 M
HI = 2x = 2*2.81 M = 5.62 M
Now lets write the Kc equation
Kc = [HI]^2/[H2][I2]
= [5.62]^2/[0.84][0.0900]
= 418
Kc= 418
So the equilibrium constant Kc = 418