3. Given the following equations and AH values, determine the heat of reaction (kJ) at 298 K for the reaction: 2 SO2(g) + 2 P(s) + 5 Cl2(g) →2 SOC12(1) + 2 POC13(1) SOC12(1) + H₂O(1) → SO2(g) + 2 HCl(g) PC13(1) + 1/2 O2(g) → POC13(1) P(s) + 3/2 Cl2(g) →→ PC13(1) 4 HCl(g) + 02(g) →2 Cl2(g) +2 H₂O(1) ΔΗ° = +10.3 kJ ΔΗ° = .325.7 kJ AH-306.7 kJ ΔΗ = -202.6 kJ

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**Problem 3:**

Given the following equations and ΔH° values, determine the heat of reaction (kJ) at 298 K for the reaction:

\[ 2 \text{SO}_2(g) + 2 \text{P}(s) + 5 \text{Cl}_2(g) \rightarrow 2 \text{SOCl}_2(l) + 2 \text{POCl}_3(l) \]

**Reactions and Standard Enthalpies of Formation (ΔH°):**

1. \[\text{SOCl}_2(l) + \text{H}_2\text{O}(l) \rightarrow \text{SO}_2(g) + 2 \text{HCl}(g) \quad \Delta H^{\circ} = +10.3 \text{ kJ} \]

2. \[\text{PCl}_3(l) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{POCl}_3(l) \quad \Delta H^{\circ} = -325.7 \text{ kJ} \]

3. \[\text{P}(s) + \frac{3}{2} \text{Cl}_2(g) \rightarrow \text{PCl}_3(l) \quad \Delta H = -306.7 \text{ kJ} \]

4. \[4 \text{HCl}(g) + \text{O}_2(g) \rightarrow 2 \text{Cl}_2(g) + 2 \text{H}_2\text{O}(l) \quad \Delta H = -202.6 \text{ kJ} \]

**Explanation:**

The given reaction involves combining sulfur dioxide (SO₂), phosphorus (P), and chlorine gas (Cl₂) to form thionyl chloride (SOCl₂) and phosphorus oxychloride (POCl₃). The problem requires the calculation of the overall heat of reaction (ΔH) using the provided standard enthalpy changes for related chemical equations.

By applying Hess’s Law—which states that the total enthalpy change for a reaction is the same regardless of the pathway taken—one can rearrange and combine the given reactions to derive the heat of the desired reaction.
Transcribed Image Text:**Problem 3:** Given the following equations and ΔH° values, determine the heat of reaction (kJ) at 298 K for the reaction: \[ 2 \text{SO}_2(g) + 2 \text{P}(s) + 5 \text{Cl}_2(g) \rightarrow 2 \text{SOCl}_2(l) + 2 \text{POCl}_3(l) \] **Reactions and Standard Enthalpies of Formation (ΔH°):** 1. \[\text{SOCl}_2(l) + \text{H}_2\text{O}(l) \rightarrow \text{SO}_2(g) + 2 \text{HCl}(g) \quad \Delta H^{\circ} = +10.3 \text{ kJ} \] 2. \[\text{PCl}_3(l) + \frac{1}{2} \text{O}_2(g) \rightarrow \text{POCl}_3(l) \quad \Delta H^{\circ} = -325.7 \text{ kJ} \] 3. \[\text{P}(s) + \frac{3}{2} \text{Cl}_2(g) \rightarrow \text{PCl}_3(l) \quad \Delta H = -306.7 \text{ kJ} \] 4. \[4 \text{HCl}(g) + \text{O}_2(g) \rightarrow 2 \text{Cl}_2(g) + 2 \text{H}_2\text{O}(l) \quad \Delta H = -202.6 \text{ kJ} \] **Explanation:** The given reaction involves combining sulfur dioxide (SO₂), phosphorus (P), and chlorine gas (Cl₂) to form thionyl chloride (SOCl₂) and phosphorus oxychloride (POCl₃). The problem requires the calculation of the overall heat of reaction (ΔH) using the provided standard enthalpy changes for related chemical equations. By applying Hess’s Law—which states that the total enthalpy change for a reaction is the same regardless of the pathway taken—one can rearrange and combine the given reactions to derive the heat of the desired reaction.
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