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青州's Question
Chemistry
Posted 7 months ago

52) Consider the reaction: N2O4( g)2NO2( g)\mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g}) \rightarrow 2 \mathrm{NO}_{2}(\mathrm{~g})
Keq =0.1134 at 20C.ΔHnxn =58.03 kJ/mol
K_{\text {eq }}=0.1134 \text { at } 20^{\circ} \mathrm{C} . \Delta H^{\circ}{ }_{\text {nxn }}=58.03 \mathrm{~kJ} / \mathrm{mol}


What is ΔG\Delta G^{\circ} for this reaction at 20C20^{\circ} \mathrm{C} ?
A) 5.4 kJ5.4 \mathrm{~kJ}
B) 0.36 kJ0.36 \mathrm{~kJ}
C) 4.9 kJ4.9 \mathrm{~kJ}
D) 5.4 kJ-5.4 \mathrm{~kJ}
E) 5.3 kJ5.3 \mathrm{~kJ}
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Answer from Sia
Posted 7 months ago
D
Key Concept
Gibbs Free Energy Equation
Explanation
The Gibbs Free Energy change (ΔG\Delta G^\circ) for a reaction at a constant temperature can be calculated using the equation ΔG=ΔHTΔS\Delta G^\circ = \Delta H^\circ - T\Delta S^\circ. Here, ΔH\Delta H^\circ is the enthalpy change, TT is the temperature in Kelvin, and ΔS\Delta S^\circ is the entropy change. The entropy change can be derived from the equilibrium constant (KeqK_{eq}) using the equation ΔS=RlnKeq\Delta S^\circ = -R \ln K_{eq}, where RR is the gas constant (8.314 J/mol·K). By substituting the values and converting units appropriately, we can find the correct answer.

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