Ammonia will decompose into nitrogen and hydrogen at high temperature. An industrial chemist studying this reaction fills a 25.0 L tank with 2.3 mol ammonia gas, and when the mixture has come to equilibrium measures the amount of hydrogen gas to be 2.4 mol. Calculate the concentration equilibrium constant for the decomposition of ammonia at the final temperature of the mixture. Round your answer to 2 significant digits. K-0 0.9

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**Problem Statement:**

Ammonia will decompose into nitrogen and hydrogen at high temperature. An industrial chemist studying this reaction fills a 25.0 L tank with 2.3 mol of ammonia gas, and when the mixture has come to equilibrium measures the amount of hydrogen gas to be 2.4 mol.

Calculate the concentration equilibrium constant for the decomposition of ammonia at the final temperature of the mixture. Round your answer to 2 significant digits.

**Solution:**

\[ K_c = \_\_\_ \]

**Explanation:**

In this problem, we are asked to calculate the concentration equilibrium constant \( K_c \) for the decomposition reaction of ammonia (\( \text{NH}_3 \)) into nitrogen (\( \text{N}_2 \)) and hydrogen (\( \text{H}_2 \)). To solve this, we need to use the initial and equilibrium amounts of the substances involved to find the concentrations and then apply these values in the expression for the equilibrium constant \( K_c \).

Ensure to use the provided volume of the tank to convert molar amounts to concentrations:
- Volume of the tank = 25.0 L
- Initial moles of \(\text{NH}_3\) = 2.3 mol
- Equilibrium moles of \(\text{H}_2\) = 2.4 mol

Using these values, you can calculate the equilibrium concentrations and then determine the equilibrium constant \( K_c \). Please derive the full solution, calculating step-by-step to find the value of \( K_c \).
Transcribed Image Text:**Problem Statement:** Ammonia will decompose into nitrogen and hydrogen at high temperature. An industrial chemist studying this reaction fills a 25.0 L tank with 2.3 mol of ammonia gas, and when the mixture has come to equilibrium measures the amount of hydrogen gas to be 2.4 mol. Calculate the concentration equilibrium constant for the decomposition of ammonia at the final temperature of the mixture. Round your answer to 2 significant digits. **Solution:** \[ K_c = \_\_\_ \] **Explanation:** In this problem, we are asked to calculate the concentration equilibrium constant \( K_c \) for the decomposition reaction of ammonia (\( \text{NH}_3 \)) into nitrogen (\( \text{N}_2 \)) and hydrogen (\( \text{H}_2 \)). To solve this, we need to use the initial and equilibrium amounts of the substances involved to find the concentrations and then apply these values in the expression for the equilibrium constant \( K_c \). Ensure to use the provided volume of the tank to convert molar amounts to concentrations: - Volume of the tank = 25.0 L - Initial moles of \(\text{NH}_3\) = 2.3 mol - Equilibrium moles of \(\text{H}_2\) = 2.4 mol Using these values, you can calculate the equilibrium concentrations and then determine the equilibrium constant \( K_c \). Please derive the full solution, calculating step-by-step to find the value of \( K_c \).
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