Answer to Question #258622 in General Chemistry for Luting

Question

Calculate the standard enthropy change to produce synthesis gas

CO(g) + H2(g) -> CH4(g) + H2O(g)

Answer 1

CO(g) + 3H₂(g) → CH₄(g) + H₂O(g)

We know the ΔH⁰:

$ΔH^0 = \sum ΔH^0_{products} -\sum ΔH^0_{reactants} \\ = [ΔH^0 CH_4 (g) + ΔH^0 H_2O (g)] – [ΔH^0 H_2 (g) + ΔH^0 CO(g)] \\ = [-74.6 +(-241.8)] -[3 \times 0 + (-110.5)] \\ = -316.4 +110.5 \\ = -205.9 \;kJ$