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Gibb's Energy and Nernst Equation

NH3g reacts w...

Question

$N H_{3} (g)$ reacts with $C u O (s)$ according to the following reaction:
$3 C u O (s) + 2 N H_{3} (g) \to 3 C u (s) + N_{2} (g) + 3 H_{2} O (l)$
Standard enthalpies of formation of $N H_{3} (g), C u O (s)$ and $H_{2} O (l)$ are $- 46 {kJ mol}^{- 1}, - 155 {kJ mol}^{- 1}, and - 285 {kJ mol}^{- 1}$ respectively. The magnitude of heat liberated (in $kJ$ ) when $2.72 g$ of $N H_{3} (g)$ is reacted completely with $C u O (s)$ according to the reaction given above when all the reactants and products are in their standard state is:

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Solution

Given reaction is,
$3 C u O (s) + 2 N H_{3} (g) \to 3 C u (s) + N_{2} (g) + 3 H_{2} O (l) We know, Δ_{r} H^{\circ} = Σ Δ H_{f}^{\circ} (Products) - Σ Δ H_{f}^{\circ} (Reactants) = [3 \times (- 285)] - [3 \times (- 155) + 2 \times (- 46)] = - 298 kJ ∴ Magnitude of heat liberated = \frac{298 \times 2.72}{2 \times 17} = 23.84 kJ$

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