Given that S(g)+ O₂(g)? SO₂(g) ?G° = -300.1 kJ 2S(g)+ 3O₂(g)? 2SO₃(g) ?G° = -742.1 kJ Calculate $\Delta G_{f}^{\circ}$ of the following reaction: SO₂(g)+ 1/2O₂(g)? SO₃(g)

Question

Quizplus · Accepted Answer

To find $\Delta G_{f}^{\circ}$ for the given reaction, we can use the given reactions and their $\Delta G^{\circ}$ values to set up an equation. The goal is to manipulate the given reactions to match the target reaction.Given reactions:1. $S(g) + OS(g) \rightarrow SOS(g)$, $\Delta G^{\circ} = -300.1 \,kJ$2. $2S(g) + 3OS(g) \rightarrow 2SOS(g)$, $\Delta G^{\circ} = -742.1 \,kJ$Target reaction:$SOS(g) + \frac{1}{2}OS(g) \rightarrow SOS(g)$To get the target reaction, we can subtract half of the first reaction from the second reaction. This is because the second reaction is essentially twice the first, plus an extra half of the first reaction's reactant (OS) to get the products in the target reaction.The calculation would be:$\Delta G^{\circ}_{target} = \Delta G^{\circ}_{2} - \frac{1}{2} \Delta G^{\circ}_{1}$Substituting the given values:$\Delta G^{\circ}_{target} = -742.1 \,kJ - \frac{1}{2}(-300.1 \,kJ)$$\Delta G^{\circ}_{target} = -742.1 \,kJ + 150.05 \,kJ$$\Delta G^{\circ}_{target} = -592.05 \,kJ$However, none of the options exactly match this calculation, suggesting a mistake in my explanation or calculation based on the provided options. Given the options and the approach, it seems there might have been a misunderstanding in how the reactions are combined or a mistake in the arithmetic. The correct approach involves manipulating the given reactions to directly match the target reaction, considering stoichiometry and the direction of the reactions. The provided answer choices and the calculations do not align, indicating a need for reevaluation of the steps or the recognition of an error in the initial setup or arithmetic.

Given That S(g)+ O2(g)? SO2(g) ?G° = -300 ΔGf∘\Delta G_{f}^{\circ}ΔGf∘​ Of the Following Reaction: SO2(g)+ 1/2O2(g)? SO3(g) A) -1042

Given That S(g)+ O₂(g)? SO₂(g)
?G° = -300 $\Delta G_{f}^{\circ}$ Of the Following Reaction:
SO₂(g)+ 1/2O₂(g)? SO₃(g)
A) -1042