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Difference between Internal Energy and Enthalpy

Δ H -Δ U in J...

Question

$(Δ H - Δ U)$ in J/mol for the formation of carbon monoxide $(C O)$ from its elements at $300 K$ is: $R = \frac{25}{3} J/Kmol$

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Solution

$C (s) + \frac{1}{2} O_{2} (g) \to C O (g)$
$Δ H = Δ U + Δ n_{g} R T$
$Δ n_{g} = 1 - \frac{1}{2} = \frac{1}{2}$
$(Δ H - Δ U) = \frac{1}{2} \times \frac{25}{3} \times 300 = 1250 J/mol$

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