The overall chemical equation resulting from the sum of the following three steps is 2c(s) + 2h2o(g) → 2co(g) + 2h2(g) co(g) + h2o(g) → co2(g) + h2(g) co(g) + 3h2(g) → ch4(g) + h2o(g) a. 2c(s) + 2h2o(g) → co2(g) + ch4(g) b. 2c(s) + 3h2o(g) → co(g) + co2(g) + 3h2(g) c. 2c(s) + h2o(g) + h2(g)→ co(g) + ch4(g) d. 2co(g) + 2h2(g) → ch4(g) + co2(g) e. 2c(s) + ch4(g) + 3h2o(g) → 3co(g) + 5h2(g)

2C(s) + 2H2O(g) → CO2(g) + CH4(g)  (option a)

Explanation:

Step 1: Data given

C(s) + 2H2O(g) → 2CO(g) + 2H2(g)

CO(g) + H2O(g) → CO2(g) + H2(g)

CO(g) + 3H2(g) → CH4(g) + H2O(g)

Step 2: balance the reactions

2C(s) + 2H2O(g) → 2CO(g) + 2H2(g)

CO(g) + H2O(g) → CO2(g) + H2(g)

CO(g) + 3H2(g) → CH4(g) + H2O(g)

Step 3: Summing the reactions

2C(s) + 2H2O(g) + CO(g) + H2O(g) + CO(g) + 3H2(g) → 2CO(g) + 2H2(g) + CO2(g) + H2(g) + CH4(g) + H2O(g)

Step 4: Simplify the reaction

2C(s) + 3H2O(g) + 2CO(g) + 3H2(g) → 2CO(g) + 3H2(g) + CO2(g) + CH4(g) + H2O(g)

2C(s) + 2H2O(g) → CO2(g) + CH4(g) = option a