Phosphorus pentachloride decomposes according to the chemical equation PCI, (g) = PCI, (g) + Cl, (g) K. = 1.80 at 250 °C A 0.2950 mol sample of PCl, (g) is injected into an empty 4.75 L reaction vessel held at 250 °C. Calculate the concentrations of PCI, (g) and PCl,(g) at equilibrium. [PCI,] = M [PCI,] = M
Phosphorus pentachloride decomposes according to the chemical equation PCI, (g) = PCI, (g) + Cl, (g) K. = 1.80 at 250 °C A 0.2950 mol sample of PCl, (g) is injected into an empty 4.75 L reaction vessel held at 250 °C. Calculate the concentrations of PCI, (g) and PCl,(g) at equilibrium. [PCI,] = M [PCI,] = M
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![### Phosphorus Pentachloride Decomposition Reaction
Phosphorus pentachloride decomposes according to the chemical equation:
\[ \text{PCl}_5 (g) \rightleftharpoons \text{PCl}_3 (g) + \text{Cl}_2 (g) \quad \text{with} \quad K_c = 1.80 \text{ at } 250^\circ \text{C} \]
### Initial Conditions
A 0.2950 mol sample of PCl₅(g) is injected into an empty 4.75 L reaction vessel held at 250°C.
### Problem Statement
Calculate the concentrations of PCl₅(g) and PCl₃(g) at equilibrium.
#### Calculation Components
1. **ICE Table**:
Establish an ICE (Initial, Change, Equilibrium) table to handle the concentration changes.
2. **Initial Concentration**:
\[
[\text{PCl}_5]_{\text{initial}} = \frac{0.2950 \text{ mol}}{4.75 \text{ L}} = 0.0621 \text{ M}
\]
3. **Equilibrium Expression**:
For the equilibrium constant \( K_c \):
\[
K_c = \frac{[\text{PCl}_3][\text{Cl}_2]}{[\text{PCl}_5]}
\]
4. **Equilibrium Concentrations**:
Define the changes in concentrations and relate them using the stoichiometric coefficients.
### Equilibrium Concentration Calculation
\[
K_c = 1.80 \text{ at } 250^\circ \text{C}
\]
1. **Initial Concentration**:
\[
[\text{PCl}_5](\text{initial}) = 0.0621 \text{ M}
\]
\[
[\text{PCl}_3](\text{initial}) = 0
\]
\[
[\text{Cl}_2](\text{initial}) = 0
\]
2. **Change**:
\[
[\text{PCl}_5] = 0.0621 - x
\]
\[
[\text{PCl}_3] = x
\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96b52401-77ae-42e3-bef0-cdd66c230602%2F8cb437a9-a54a-4549-8923-aeb2f100f093%2Fonxot7_processed.png&w=3840&q=75)
Transcribed Image Text:### Phosphorus Pentachloride Decomposition Reaction
Phosphorus pentachloride decomposes according to the chemical equation:
\[ \text{PCl}_5 (g) \rightleftharpoons \text{PCl}_3 (g) + \text{Cl}_2 (g) \quad \text{with} \quad K_c = 1.80 \text{ at } 250^\circ \text{C} \]
### Initial Conditions
A 0.2950 mol sample of PCl₅(g) is injected into an empty 4.75 L reaction vessel held at 250°C.
### Problem Statement
Calculate the concentrations of PCl₅(g) and PCl₃(g) at equilibrium.
#### Calculation Components
1. **ICE Table**:
Establish an ICE (Initial, Change, Equilibrium) table to handle the concentration changes.
2. **Initial Concentration**:
\[
[\text{PCl}_5]_{\text{initial}} = \frac{0.2950 \text{ mol}}{4.75 \text{ L}} = 0.0621 \text{ M}
\]
3. **Equilibrium Expression**:
For the equilibrium constant \( K_c \):
\[
K_c = \frac{[\text{PCl}_3][\text{Cl}_2]}{[\text{PCl}_5]}
\]
4. **Equilibrium Concentrations**:
Define the changes in concentrations and relate them using the stoichiometric coefficients.
### Equilibrium Concentration Calculation
\[
K_c = 1.80 \text{ at } 250^\circ \text{C}
\]
1. **Initial Concentration**:
\[
[\text{PCl}_5](\text{initial}) = 0.0621 \text{ M}
\]
\[
[\text{PCl}_3](\text{initial}) = 0
\]
\[
[\text{Cl}_2](\text{initial}) = 0
\]
2. **Change**:
\[
[\text{PCl}_5] = 0.0621 - x
\]
\[
[\text{PCl}_3] = x
\
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