In certain areas where coal is cheap, artificial gas is produced for household use by the 'water gas' reaction
`C(s) + H_2O(g) overset(600^@C)(to) H_2(g) + CO(g)`
Assuming that coke is 100% carbon, calculate the maximum heat obtainable at 298 K from the combustion of 1.0 kg of coke and compare this value to the maximum heat obtainable at 298 K from burning the water gas produced from 1.0 kg of coke. Heat of combustion of C, `H_2` and CO are -94.1, -68.4 and -68.0 kcal/mole respectively.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the heat obtainable from the combustion of 1.0 kg of coke (carbon).

1. **Determine the number of moles of carbon in 1.0 kg of coke:**
- Molar mass of carbon (C) = 12 g/mol
- 1.0 kg = 1000 g
- Number of moles of carbon = \( \frac{1000 \text{ g}}{12 \text{ g/mol}} = 83.33 \text{ moles} \)
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