The commercial production of water gas utilizes the reaction under standard conditions :

CHEMISTRY · Subjective · A Level · Chemistry · Energetics · Energetics

Problem

The commercial production of water gas utilizes the reaction under standard conditions : C+H2O(g)→H2+CO\text{C} + \text{H}_2\text{O}(\text{g}) \rightarrow \text{H}_2 + \text{CO} . The heat required for this endothermic reaction may be supplied by adding a limited amount of air and burning some carbon to CO2\text{CO}_2 . How many g of carbon must be burnt to CO2\text{CO}_2 to provide enough heat for the water gas conversion of 100 g carbon? Neglect all heat losses to the environment. Also ΔHf∘\Delta H_f^\circ of CO, H2O(g)\text{H}_2\text{O}(\text{g}) and CO2\text{CO}_2 are -110.53, -241.81 and -393.51 kJ/mol\text{kJ/mol} respectively.

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