Manipulating Equilibrium Constant Expressions

[bluedolfinswimmer13]

Hello. I have chem homework on this topic and I have completed the first few problems okay but now for the rest of the homework i'm stuck on where to go. I can set up the problem but im not sure how to procede,

Calculate K for the reaction:
Fe + H20 ---> FeO + H20
             <---     

Given:

H2O + CO ----> H2 + CO2    K= 1.6
              <----

FeO + CO ----> Fe + CO2     K= 0.67
              <----

Any help on how to complete problems like this one would be greatly appreciated, thank you

[freezard7734]

Since the equilibrium constant is the product of the concentrations of the products raised to the power of their coefficients divided by product of the concentrations of the reactants raised to the power of their coefficients.
So reversing a reaction will give you the inverse of the K constant.
And "adding" two reactions together will give you the product of the individual K constants.
So for example, if A --> B has K1, B --> A has K^-1
And if C --> D has K2, A + C --> B + D has K1*K2

I hope that helps.