The commercial production of water gas utilizes the reaction under standard conditions `:C+H_(2)O_((g)) rarr H_(2)+CO`. The heat required for this endothermic reaction may be supplied by adding a limited amount of air and burning some carbon to `CO_(20`. How many gram of carbon must be burnt to `CO_(2)` to provide enough heat for the water gas conversion of `100g` carbon ? Neglect all heat losses to the environment. Also `DeltaH_(f)^(@)` of `CO,H_(2)O_((g))` and `CO_(2)` are `-110.53, -241.81` and `-393.51kJ //mol` respectively.

Answer

`33.36g ` carbon;