In: Chemistry
Kc for the reaction of hydrogen and
iodine to produce hydrogen iodide.
H2(g) + I2(g) ⇌ 2HI(g)
is 54.3 at 430°C. Calculate the
equilibrium concentrations of H2,
I2, and HI at 430°C if
the initial concentrations are [H2] =
[I2] = 0 M,
and [HI] = 0.547 M.
[H2]=
[I2]=
[HI]=
H2(g) + I2(g) ⇌ 2HI(g)
I 0 0 0.547
C +x +x -2x
E +x +x 0.547-2x
Kc = [HI]^2/[H2][I2]
54.3 = (0.547-2x)^2/x*x
54.3 = (0.547-2x/x)^2
7.37 = 0.547-2x/x
7.37x = 0.547-2x
x = 0.0584
[H2] = x = 0.0584M
[I2] = x = 0.0584M
[HI] = 0.547-2x = 0.547-2*0.0584 = 0.43M