Ammonia decomposes to form nitrogen and hydrogen, like this: 2 NH3(g) → N₂(g) + 3H₂(g) Also, a chemist finds that at a certain temperature the equilibrium mixture of ammonia, nitrogen, and hydrogen has the following composition: compound concentration at equilibrium NH3 1.6M N₂ 0.34 M H₂ 0.53 M Calculate the value of the equilibrium constant K for this reaction. Round your answer to 2 significant digits. K = x10 X 3 ?

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### Ammonia Decomposition Reaction

Ammonia decomposes to form nitrogen and hydrogen, as shown in the following chemical equation:

\[ 2\text{NH}_3(g) \rightarrow \text{N}_2(g) + 3\text{H}_2(g) \]

A chemist finds that at a certain temperature, the equilibrium mixture of ammonia, nitrogen, and hydrogen has the following composition:

| **Compound** | **Concentration at Equilibrium** |
|--------------|-------------------------------------|
| \(\text{NH}_3\)    | 1.6 M                                 |
| \(\text{N}_2\)     | 0.34 M                                |
| \(\text{H}_2\)     | 0.53 M                                |

Calculate the value of the equilibrium constant \( K_c \) for this reaction. Round your answer to 2 significant digits.

\[ K_c = \]

This problem requires determining the equilibrium constant (\( K_c \)), using the formula:

\[ K_c = \frac{[\text{N}_2][\text{H}_2]^3}{[\text{NH}_3]^2} \]

The concentrations at equilibrium are provided, which can be plugged into the formula to calculate \( K_c \).
Transcribed Image Text:### Ammonia Decomposition Reaction Ammonia decomposes to form nitrogen and hydrogen, as shown in the following chemical equation: \[ 2\text{NH}_3(g) \rightarrow \text{N}_2(g) + 3\text{H}_2(g) \] A chemist finds that at a certain temperature, the equilibrium mixture of ammonia, nitrogen, and hydrogen has the following composition: | **Compound** | **Concentration at Equilibrium** | |--------------|-------------------------------------| | \(\text{NH}_3\) | 1.6 M | | \(\text{N}_2\) | 0.34 M | | \(\text{H}_2\) | 0.53 M | Calculate the value of the equilibrium constant \( K_c \) for this reaction. Round your answer to 2 significant digits. \[ K_c = \] This problem requires determining the equilibrium constant (\( K_c \)), using the formula: \[ K_c = \frac{[\text{N}_2][\text{H}_2]^3}{[\text{NH}_3]^2} \] The concentrations at equilibrium are provided, which can be plugged into the formula to calculate \( K_c \).
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