5. The following reaction begins initially with 0.500 mol of H₂ and 0.500 mol of Br₂ in a 2.0 L flask. The reaction mixture has K = 64 at 427 °C. What are the equilibrium concentrations of each species (in M to two decimal places) at this temperature? H₂(g) + Br₂(g) = 2HBr(g) A: 0.05, 0.05, 0.40

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**Equilibrium Concentration Calculation:**

**Problem Statement:**

5. The following reaction begins initially with 0.500 mol of H₂ and 0.500 mol of Br₂ in a 2.0 L flask. The reaction mixture has Kc = 64 at 427 °C. What are the equilibrium concentrations of each species (in M to two decimal places) at this temperature?

\[ \text{H}_2(g) + \text{Br}_2(g) \rightleftharpoons 2\text{HBr}(g) \]

**Solution:**

**Given Data:**
- Initial moles of H₂ = 0.500 mol
- Initial moles of Br₂ = 0.500 mol
- Volume of the flask = 2.0 L
- Equilibrium constant, Kc = 64
- Temperature = 427 °C

**Equilibrium Concentrations:**

The equilibrium concentrations of each species are given as:

- [H₂] = 0.05 M
- [Br₂] = 0.05 M
- [HBr] = 0.40 M

**Answer (A):** 0.05, 0.05, 0.40

This solution involves calculating the changes in concentration due to the reaction reaching equilibrium and applying the expression for Kc to solve for these equilibrium concentrations.
Transcribed Image Text:**Equilibrium Concentration Calculation:** **Problem Statement:** 5. The following reaction begins initially with 0.500 mol of H₂ and 0.500 mol of Br₂ in a 2.0 L flask. The reaction mixture has Kc = 64 at 427 °C. What are the equilibrium concentrations of each species (in M to two decimal places) at this temperature? \[ \text{H}_2(g) + \text{Br}_2(g) \rightleftharpoons 2\text{HBr}(g) \] **Solution:** **Given Data:** - Initial moles of H₂ = 0.500 mol - Initial moles of Br₂ = 0.500 mol - Volume of the flask = 2.0 L - Equilibrium constant, Kc = 64 - Temperature = 427 °C **Equilibrium Concentrations:** The equilibrium concentrations of each species are given as: - [H₂] = 0.05 M - [Br₂] = 0.05 M - [HBr] = 0.40 M **Answer (A):** 0.05, 0.05, 0.40 This solution involves calculating the changes in concentration due to the reaction reaching equilibrium and applying the expression for Kc to solve for these equilibrium concentrations.
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