In certain areas where coal is cheap, artificial gas is produced for house hold use by the 'water ga — Thermodynamics and Thermochemistry Chemistry Question
Question
In certain areas where coal is cheap, artificial gas is produced for house hold use by the 'water gas' reaction:<br>$\text{C(s)} + \text{H}_2\text{O(g)} \to \text{H}_2\text{(g)} + \text{CO(g)}$<br>Assume that coke is 100% carbon. Given $\Delta H_c\text{ (kcal/mol)}$ at $25^\circ\text{C}$: $\text{H}_2\text{(g)} = -68.0$; $\text{CO(g)} = -68.0$; $\text{C(s)} = -94.0$. Select the correct option(s):
Answer: A,B,C
💡 Solution & Explanation
1.2 kg coke = 100 mol C. Heat from C = $100 \times 94 = 9400\text{ kcal}$. 100 mol C produces 100 mol $\text{H}_2$ and 100 mol CO. Heat from water gas = $100(68) + 100(68) = 13600\text{ kcal}$. 1.2 kg water gas (mixture MW 30) = 40 mol $\text{H}_2$ + 40 mol CO. Heat = $40(68) + 40(68) = 5440\text{ kcal}$.
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