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Heat of Formation

Δ H-Δ U for t...

Question

$(Δ H - Δ U)$ for the formation of carbon monoxide $(C O)$ from its element at $298 K$ is: $(R = 8.314 J K^{- 1} {m o l}^{- 1})$

- 1238.78 J {m o l}^{- 1}

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1238.78 J {m o l}^{- 1}

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- 2477.57 J {m o l}^{- 1}

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2477.57 J {m o l}^{- 1}

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Solution

The correct option is B $1238.78 J {m o l}^{- 1}$
$C_{(S)} + \frac{1}{2} O_{2 (g)} \to {C O}_{(g)}$
${Δ n}_{g} = 1 - \frac{1}{2} = 0.5$
$Δ H = Δ U + {Δ n}_{g} R T$
$∴ Δ H - Δ U = {Δ n}_{g} \times R \times T$
$= 0.5 \times 8.314 \times 298$
$Δ H - Δ U = 1238.78 J / m o l$

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