In: Chemistry
Kc for the following reaction is 0.35. H2 (g) + I2 (g) 2 HI (g). If 1.0 mol of I2 and 1.0 mol of H2 are placed in a 1.0 L vessel, the equilibrium concentration of HI is :
The answer is 0.46 M, please explain how this value was reached. Thanks!
Find out the initial concentration of the reactants as below.
[H2] = (mol H2)/(volume of container) = (1.0 mol)/(1.0 L) = 1.0 M
[I2] = (mol I2)/(volume of container) = (1.0 mol)/(1.0 L) = 1.0 M
Set up the ICE chart for the reaction as below.
H2 (g) + I2 (g) <=====> 2 HI (g)
initial 1.0 1.0 0.0
change -x -x +2x
equilibrium (1.0 – x) (1.0 – x) 2x
The equilibrium constant is given as
Kc = [HI]2/[H2][I2] = (2x)2/(1 – x).(1- x)
====> 0.35 = 4x2/(1 – x)2
====> 4x2 = 0.35*(1 – x)2
Take the positive square root.
2x = 0.5916*(1 – x)
===> 2x = 0.5916 – 0.5916x
===> 2.5916x = 0.5916
===> x = (0.5916)/(2.5916) = 0.2283
The equilibrium concentration of HI is given as 2x = 2*(0.2283) M = 0.4566 M ≈ 0.46 M (ans).