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The enthalpies of combustion of carbon and carbon monoxide are $$-393.5$$ and $$-283$$ kJ mol$$^{-1}$$ respectively. The enthalpy of formation of carbon monoxide per mole is
Based on the data provided, we can write out the chemical equations for the two combustion processes:
$$\text{C}_{(s)} + \text{O}_{2(g)} \rightarrow \text{CO}_{2(g)} \quad \Delta H_1 = -393.5 \text{ kJ mol}^{-1}$$
$$\text{CO}_{(g)} + \frac{1}{2}\text{O}_{2(g)} \rightarrow \text{CO}_{2(g)} \quad \Delta H_2 = -283 \text{ kJ mol}^{-1}$$
The standard enthalpy of formation of carbon monoxide ($$\text{CO}$$) corresponds to the reaction where $$1 \text{ mole}$$ of $$\text{CO}$$ is synthesized directly from its constituent elements in their standard states:
$$\text{C}_{(s)} + \frac{1}{2}\text{O}_{2(g)} \rightarrow \text{CO}_{(g)} \quad \Delta H_f^\circ = ?$$
To match our target equation using the known reactions, we can subtract the second combustion equation from the first equation:
$$\text{Target Equation} = \text{Equation (1)} - \text{Equation (2)}$$
Mathematically executing this operation on their respective enthalpy changes:
$$\Delta H_f^\circ = \Delta H_1 - \Delta H_2$$
$$\Delta H_f^\circ = -393.5 \text{ kJ mol}^{-1} - (-283 \text{ kJ mol}^{-1})$$
$$\Delta H_f^\circ = -393.5 + 283 = -110.5 \text{ kJ mol}^{-1}$$
The standard enthalpy of formation for one mole of carbon monoxide is determined to be $$-110.5 \text{ kJ}$$.
Answer: Option B — $$-110.5 \text{ kJ}$$
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