For the reaction CO+H20H2+CO2, Keq=5.10 at 527 C. If the initial concentration [CO] = 0.15M, [H2O] = 0.25M, [H2] = 0.42M and [CO2] = 0.37M, how...

The chemical equation CO + H2O <---> H2 +
CO2 has a Keq of 5.10 at 527 C.

The Keq for the reaction is
defined as Keq = [H2][CO2]/[CO][H2O] = 5.10

The initial
concentration of the compounds taking part in the reaction are given as [CO] = 0.15M,
[H2O] = 0.25M, [H2] = 0.42M and [CO2] =
0.37M

(0.42*0.37)/(0.15*0.25) =
4.144

As this is less than Keq, the reaction could proceed
forward leading to the formation of more H2 and CO2.

If
moles of CO and H2O react to form x moles of H2 and CO2, we can estimate x by
solving:

((0.42+x)*(0.37+x))/((0.15-x)*(0.25-x) =
5.1

The solution for x that is valid is
0.0129.

The final molarity of the gases is [CO]= 0.137,
[H2O] = 0.237, [H2] = 0.4329 and [CO2] = 0.3829