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From the following data, calculate the enthalpy of formation of carbon monoxide (in kJ/mole)
$\begin{array}{l} C (s) + O_{2} (g) \to C O_{2} (g); Δ H = - x k J \\ 2 C O (g) + O_{2} (g) \to 2 C O_{2} (g); Δ H = - y k J \end{array}$

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$(\frac{y}{2} - x)$

$\frac{x - y}{2}$

$x - y$

$(x - \frac{y}{2})$

answer is A.

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Detailed Solution

$C (s) + O_{2} (g) \to C O_{2} (g); Δ H_{1} = - x k J .... (1)$

$C O (g) + \frac{1}{2} O_{2} (g) \to C O_{2} (g); Δ H_{2} = - \frac{y}{2} k J .... (2)$

$C (s) + \frac{1}{2} O_{2} (g) \to C O (g); Δ H_{3} = ?$

$Δ H_{3} = Δ H_{1} - Δ H_{2}$

$Δ H_{3} = - x - (- \frac{y}{2})$

$Δ H_{3} = (\frac{y}{2} - x)$

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