J.R. S. answered 01/10/20
Ph.D. University Professor with 10+ years Tutoring Experience
The reaction of interest is
CH4(g) + H2O(g) + heat ==> CO(g) + 3H2(g) and they want us to calculate the Keq (equilibrium constant). The values that are given are concentrations, and I'm guessing they are the following, but the way you have written the values, I can't be sure. The way they come up with the numbers is by experimentation or by making them whatever they want.
CH4 = 0.012 M
H2O = 0.0275 M
CO = 0.0383 M
H2 = 0.115 M
Keq = [CO][H2] / [CH4][H2O] you need to know that Keq = products/reactant each raised to a power equal to the coefficient in the balanced equation. If you don't get this, please read the chapter on Keq.
Keq = (0.0383)(0.115) / (0.012)(0.0275)
Keq = 292 or 290 (to 2 significant figures)