13.) For the RAM : -> %3D AHp f AgBr= -100.4kJ △Hp g Brg aー+30,9J + 30.9kJ Frd fhe he at f Ranacion for AzIGS) g formatian for AgICS) -54.0=(-100,4) -(5• 30.9) - X 61.85=-X 1 - 61.858y=X

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See image below. Can you please show me how to solve this (i.e. why we don't add the 100.4, etc.)?

**Title: Calculating the Heat of Formation for Silver Iodide (AgI)**

**Introduction:**
The following are calculations related to the reaction involving silver iodide (AgI) and its heat of formation. This reaction is analyzed based on the given thermodynamic data.

**Reaction Studied:**
\[ 
\text{AgI(s)} + \frac{1}{2} \text{Br}_2(\text{g}) \rightarrow \text{AgBr(s)} + \frac{1}{2} \text{I}_2(\text{s})
\]

**Data Provided:**

- \( \Delta H_f \) of AgBr = \( -100.4 \, \text{kJ} \)
- \( \Delta H_f \) of \(\frac{1}{2} \text{Br}_2 (\text{g}) \) = \( + 30.9 \, \text{kJ} \)

**Calculation Steps:**

1. Establish the reaction enthalpy equation:
   \[
   \Delta H_{\text{reaction}} = \Delta H_f (\text{AgBr}) + \Delta H_f \left(\frac{1}{2} \text{Br}_2(\text{g})\right)
   \]
   \[
   -54.0 = (-100.4) + 30.9 
   \]

2. Calculate the heat of formation for AgI(s):
   \[
   \Delta H_f (\text{AgI}) = -54.0 = (-100.4) + 30.9 - x
   \]

3. Simplify the equation to find \( x\):
   \[
   61.85 = -x
   \]
   \[
   x = -61.85 \, \text{kJ/mol} 
   \]

**Conclusion:**
The heat of formation (\( \Delta H_f \)) for silver iodide (\(\text{AgI}\)) is calculated to be \(-61.85 \, \text{kJ/mol}\). This negative sign indicates an exothermic formation process.
Transcribed Image Text:**Title: Calculating the Heat of Formation for Silver Iodide (AgI)** **Introduction:** The following are calculations related to the reaction involving silver iodide (AgI) and its heat of formation. This reaction is analyzed based on the given thermodynamic data. **Reaction Studied:** \[ \text{AgI(s)} + \frac{1}{2} \text{Br}_2(\text{g}) \rightarrow \text{AgBr(s)} + \frac{1}{2} \text{I}_2(\text{s}) \] **Data Provided:** - \( \Delta H_f \) of AgBr = \( -100.4 \, \text{kJ} \) - \( \Delta H_f \) of \(\frac{1}{2} \text{Br}_2 (\text{g}) \) = \( + 30.9 \, \text{kJ} \) **Calculation Steps:** 1. Establish the reaction enthalpy equation: \[ \Delta H_{\text{reaction}} = \Delta H_f (\text{AgBr}) + \Delta H_f \left(\frac{1}{2} \text{Br}_2(\text{g})\right) \] \[ -54.0 = (-100.4) + 30.9 \] 2. Calculate the heat of formation for AgI(s): \[ \Delta H_f (\text{AgI}) = -54.0 = (-100.4) + 30.9 - x \] 3. Simplify the equation to find \( x\): \[ 61.85 = -x \] \[ x = -61.85 \, \text{kJ/mol} \] **Conclusion:** The heat of formation (\( \Delta H_f \)) for silver iodide (\(\text{AgI}\)) is calculated to be \(-61.85 \, \text{kJ/mol}\). This negative sign indicates an exothermic formation process.
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