Be sure to answer all parts. Using the data in the table, calculate Kp and AG for this reaction at 25°C. PCI5(g) = PC138) + Cl2(g) AG° Initial Partial Substance f Pressure (atm) (kJ/mol) C2(8) 0.358 PC13(g) -286 0.213 PCI5(g) -325 0.00320 Kp= X 10 AG= kJ/mol

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**Calculating \( K_P \) and \(\Delta G\) for a Chemical Reaction at 25°C**

**Reaction:**
\[ \text{PCl}_5(g) \rightleftharpoons \text{PCl}_3(g) + \text{Cl}_2(g) \]

**Table: Thermodynamic Data and Initial Partial Pressures**

| **Substance** | \( \Delta G_f^\circ \) (kJ/mol) | **Initial Partial Pressure (atm)** |
|---------------|-------------------|-------------------------|
| Cl\(_2\)(g)   | 0                 | 0.358                   |
| PCl\(_3\)(g)  | -286              | 0.213                   |
| PCl\(_5\)(g)  | -325              | 0.00320                 |

**Calculations:**

1. **Equilibrium Constant \( K_P \):**

   To determine \( K_P \), use the equation:
   \[
   K_P = \left( \frac{\text{Partial Pressure of Products}}{\text{Partial Pressure of Reactants}} \right) = \frac{(P_{\text{PCl}_3})(P_{\text{Cl}_2})}{P_{\text{PCl}_5}}
   \]

2. **Change in Gibbs Free Energy \(\Delta G\):**

   \(\Delta G\) can be calculated using:
   \[
   \Delta G = \Delta G_f^\circ \text{ (Products)} - \Delta G_f^\circ \text{ (Reactants)}
   \]

**Note:**

- Be sure to compute the values using the data from the table provided above.
- Ensure accuracy by checking units and making sure all values are used appropriately.

\[ K_P = \, \, \times 10 \]

\[ \Delta G = \, \, \text{kJ/mol} \]
Transcribed Image Text:**Calculating \( K_P \) and \(\Delta G\) for a Chemical Reaction at 25°C** **Reaction:** \[ \text{PCl}_5(g) \rightleftharpoons \text{PCl}_3(g) + \text{Cl}_2(g) \] **Table: Thermodynamic Data and Initial Partial Pressures** | **Substance** | \( \Delta G_f^\circ \) (kJ/mol) | **Initial Partial Pressure (atm)** | |---------------|-------------------|-------------------------| | Cl\(_2\)(g) | 0 | 0.358 | | PCl\(_3\)(g) | -286 | 0.213 | | PCl\(_5\)(g) | -325 | 0.00320 | **Calculations:** 1. **Equilibrium Constant \( K_P \):** To determine \( K_P \), use the equation: \[ K_P = \left( \frac{\text{Partial Pressure of Products}}{\text{Partial Pressure of Reactants}} \right) = \frac{(P_{\text{PCl}_3})(P_{\text{Cl}_2})}{P_{\text{PCl}_5}} \] 2. **Change in Gibbs Free Energy \(\Delta G\):** \(\Delta G\) can be calculated using: \[ \Delta G = \Delta G_f^\circ \text{ (Products)} - \Delta G_f^\circ \text{ (Reactants)} \] **Note:** - Be sure to compute the values using the data from the table provided above. - Ensure accuracy by checking units and making sure all values are used appropriately. \[ K_P = \, \, \times 10 \] \[ \Delta G = \, \, \text{kJ/mol} \]
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