2CIF (g) +O2 (g) → Cl20 (g) + F20 (g) 2CIF3 (g) + 202 (g) → Cl20 (g) +3F20 (g) AH°a = 341.4 kJ/mol 2F2 (g) + O2 (g) → 2F20 (g) AH° = 167.4 kJ/mol %3D %3D AH°g = -43.4 kJ/mol At the same temperature, use Hess' law to calculate AH° for the following reaction: CIF (g) +F2 (g) → CIF3 (g)

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 At 25 °C, the following heats of reaction are known:

 

### Thermochemical Calculations Using Hess's Law

#### Given Reactions and Their Enthalpy Changes:

1. **Reaction 1:**
   \[ 2 \text{ClF (g)} + \text{O}_2 \text{(g)} \rightarrow \text{Cl}_2\text{O (g)} + \text{F}_2\text{O (g)} \]
   \[ \Delta H^\circ = 167.4 \text{ kJ/mol} \]

2. **Reaction 2:**
   \[ 2 \text{ClF}_3 \text{(g)} + 2\text{O}_2 \text{(g)} \rightarrow \text{Cl}_2\text{O (g)} + 3\text{F}_2\text{O (g)} \]
   \[ \Delta H^\circ = 341.4 \text{ kJ/mol} \]

3. **Reaction 3:**
   \[ 2\text{F}_2 \text{(g)} + \text{O}_2 \text{(g)} \rightarrow 2\text{F}_2\text{O (g)} \]
   \[ \Delta H^\circ = -43.4 \text{ kJ/mol} \]

#### Problem Statement:

At the same temperature, use Hess's Law to calculate \(\Delta H^\circ\) for the following reaction:

\[ \text{ClF (g)} + \text{F}_2 \text{(g)} \rightarrow \text{ClF}_3 \text{(g)} \]

### Step-by-Step Solution:

Let’s denote the given reactions as follows:

- Reaction 1: 
  \[ 2 \text{ClF (g)} + \text{O}_2 \text{(g)} \rightarrow \text{Cl}_2\text{O (g)} + \text{F}_2\text{O (g)} \]
  \[ \Delta H^\circ_1 = 167.4 \text{kJ/mol} \]

- Reaction 2: 
  \[ 2 \text{ClF}_3 \text{(g)} + 2 \text{O}_2 \text{(g)} \rightarrow \text{Cl}_2\text
Transcribed Image Text:### Thermochemical Calculations Using Hess's Law #### Given Reactions and Their Enthalpy Changes: 1. **Reaction 1:** \[ 2 \text{ClF (g)} + \text{O}_2 \text{(g)} \rightarrow \text{Cl}_2\text{O (g)} + \text{F}_2\text{O (g)} \] \[ \Delta H^\circ = 167.4 \text{ kJ/mol} \] 2. **Reaction 2:** \[ 2 \text{ClF}_3 \text{(g)} + 2\text{O}_2 \text{(g)} \rightarrow \text{Cl}_2\text{O (g)} + 3\text{F}_2\text{O (g)} \] \[ \Delta H^\circ = 341.4 \text{ kJ/mol} \] 3. **Reaction 3:** \[ 2\text{F}_2 \text{(g)} + \text{O}_2 \text{(g)} \rightarrow 2\text{F}_2\text{O (g)} \] \[ \Delta H^\circ = -43.4 \text{ kJ/mol} \] #### Problem Statement: At the same temperature, use Hess's Law to calculate \(\Delta H^\circ\) for the following reaction: \[ \text{ClF (g)} + \text{F}_2 \text{(g)} \rightarrow \text{ClF}_3 \text{(g)} \] ### Step-by-Step Solution: Let’s denote the given reactions as follows: - Reaction 1: \[ 2 \text{ClF (g)} + \text{O}_2 \text{(g)} \rightarrow \text{Cl}_2\text{O (g)} + \text{F}_2\text{O (g)} \] \[ \Delta H^\circ_1 = 167.4 \text{kJ/mol} \] - Reaction 2: \[ 2 \text{ClF}_3 \text{(g)} + 2 \text{O}_2 \text{(g)} \rightarrow \text{Cl}_2\text
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