Question

The equilibrium constant, Kp, for the following reaction is 55.6 at 698 K: H2(g) + I2(g)...

The equilibrium constant, Kp, for the following reaction is 55.6 at 698 K: H2(g) + I2(g) 2HI(g) Calculate the equilibrium partial pressures of all species when H2 and I2, each at an intitial partial pressure of 1.65 atm, are introduced into an evacuated vessel at 698 K.

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Answer #1

           H2(g) + I2(g) ---------------------- 2aT HI(g)

   1.65 atm       1.65atm                      0

    -x                  -x                            +2x

1.65-x               1.65-x                         +2x

        Kp = P^2HI/PH2xPI2

    55.6 = (2x)^2/(1.65-x)x(1.65-x)

   Square root of 55.6 = 2x/1.65-x

7.46 = 2x/1.65-x

12.309-7.46x = 2x

9.46x = 12.309

x= 12.309/9.46 = 1.30

x= 1.30 atm

At equilibrium

Partial pressure of H2= 1.65-x = 1.65-1.30= 0.35 atm

Partial pressureof I2 = 1.65-x = 1.65-1.30 = 0.35 atm

Partial pressure of HI = 2x = 2x1.30 = 2.60 atm.

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