Thermodynamics and ThermochemistrymediumMCQ SINGLE

Given that: <br><br>The enthalpy of formation of carbon monoxide will beThermodynamics and Thermochemistry Chemistry Question

Question

Given that: $\text{C(s)} + \text{O}_2\text{(g)} \to \text{CO}_2\text{(g)}; \Delta H^\circ = -X\text{ kJ}$<br>$2\text{CO(g)} + \text{O}_2\text{(g)} \to 2\text{CO}_2\text{(g)}; \Delta H^\circ = -Y\text{ kJ}$<br>The enthalpy of formation of carbon monoxide will be

Answer: B

💡 Solution & Explanation

The target reaction is $\text{C(s)} + \frac{1}{2}\text{O}_2\text{(g)} \to \text{CO(g)}$. Equation 1: $\text{C} + \text{O}_2 \to \text{CO}_2$ ($\Delta H = -X$). Equation 2 (reversed and divided by 2): $\text{CO}_2 \to \text{CO} + \frac{1}{2}\text{O}_2$ ($\Delta H = +Y/2$). Summing gives target reaction with $\Delta H = -X + Y/2 = (Y - 2X) / 2$.

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