Question

A 1.0 L flask is charged with a gaseous mixture of 1.00 mol each of gaseous reactants,CO, H2O, and 1.00 mol each of gaseous products CO2 and H2 and exposed to a zinc oxide - copper oxide catalyst at 500 K. Determine the composition of the mixture at equilibrium at this temperature.The equilibrium constant, Kc, atthis temperature is 102

Answer 1

CO + H2O   -----------------------> CO2 + H2

1.0     1.0                                  1.0     1.0

1 - x    1-x                                   1+x    1+x

Kc = [CO2][H2] / [CO][H2O]

102 = (1+x)^2 / (1-x)^2

10.1 = 1+x / 1-x

x = 0.82

[CO] = [H2O] = 1 - x = 1 - 0.82 = 0.18 M

[CO2] = [H2] = 1 + x = 1 + 0.82 = 1.82 M