Hydrogen bromide and oxygen react to form bromine and water, like this: 4 HBr(g) + 0₂(g) →2 Br₂(g) + 2H₂O(g) Also, a chemist finds that at a certain temperature the equilibrium mixture of hydrogen bromide, oxygen, bromine, and water has the following composition: compound concentration at equilibrium HBr 1.3 M 0₂ 1.9M Br₂ 0.18M H₂O 0.73 M Calculate the value of the equilibrium constant K for this reaction. Round your answer to 2 significant digits.

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Reaction and Equilibrium Constant Calculation**

In a chemical reaction, **hydrogen bromide** and **oxygen** react to form **bromine** and **water**, as shown in the equation below:

\[ 4 \text{HBr}(g) + \text{O}_2(g) \rightarrow 2 \text{Br}_2(g) + 2 \text{H}_2\text{O}(g) \]

A chemist observes that at a specific temperature, the equilibrium mixture contains the following concentrations:

| Compound | Concentration at Equilibrium |
|-----------|-------------------------------|
| HBr       | 1.3 M                         |
| O₂        | 1.9 M                         |
| Br₂       | 0.18 M                        |
| H₂O       | 0.73 M                        |

**Task:** Calculate the equilibrium constant \( K_c \) for this reaction. Round your answer to two significant digits.

**Equation for \( K_c \):**

The expression for the equilibrium constant \( K_c \) is derived from the balanced chemical equation:

\[ K_c = \frac{[\text{Br}_2]^2[\text{H}_2O]^2}{[\text{HBr}]^4 [\text{O}_2]} \]

Use the concentrations provided to calculate \( K_c \).
Transcribed Image Text:**Reaction and Equilibrium Constant Calculation** In a chemical reaction, **hydrogen bromide** and **oxygen** react to form **bromine** and **water**, as shown in the equation below: \[ 4 \text{HBr}(g) + \text{O}_2(g) \rightarrow 2 \text{Br}_2(g) + 2 \text{H}_2\text{O}(g) \] A chemist observes that at a specific temperature, the equilibrium mixture contains the following concentrations: | Compound | Concentration at Equilibrium | |-----------|-------------------------------| | HBr | 1.3 M | | O₂ | 1.9 M | | Br₂ | 0.18 M | | H₂O | 0.73 M | **Task:** Calculate the equilibrium constant \( K_c \) for this reaction. Round your answer to two significant digits. **Equation for \( K_c \):** The expression for the equilibrium constant \( K_c \) is derived from the balanced chemical equation: \[ K_c = \frac{[\text{Br}_2]^2[\text{H}_2O]^2}{[\text{HBr}]^4 [\text{O}_2]} \] Use the concentrations provided to calculate \( K_c \).
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