5. Consider the following reaction: N2(g) + 3 H₂(g) 2 NH3(g) wAt equilibrium, the pressure values of the substances were 0.62 atm N₂, 0.50 atm H2, and 0.24 atm NH3. What is Keq for the reaction? a. 0.74 b. 2.7 c. 1.3 d. 0.60 e. 0.37

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### Problem 5: Equilibrium Constant Calculation

Consider the following reaction:

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

At equilibrium, the pressure values of the substances were:

- \( \text{N}_2 \): 0.62 atm
- \( \text{H}_2 \): 0.50 atm
- \( \text{NH}_3 \): 0.24 atm

**Question:** What is \( K_{eq} \) for the reaction?

### Multiple Choice Answers:
a. 0.74 \
b. 2.7 \
c. 1.3 \
d. 0.60 \
e. 0.37

**Explanation:**

To find the equilibrium constant \( K_{eq} \) for the reaction, we use the following formula for a gas-phase reaction, where pressures are given:

\[ K_{eq} = \frac{P_{\text{NH}_3}^2}{P_{\text{N}_2} \cdot P_{\text{H}_2}^3} \]

Given that:
- \( P_{\text{N}_2} = 0.62 \) atm
- \( P_{\text{H}_2} = 0.50 \) atm
- \( P_{\text{NH}_3} = 0.24 \) atm

Substitute these values into the equilibrium expression:

\[ K_{eq} = \frac{(0.24)^2}{(0.62) \cdot (0.50)^3} \]

Calculate the numerator:

\[ (0.24)^2 = 0.0576 \]

Calculate the denominator:

\[ (0.62) \cdot (0.50)^3 = 0.62 \cdot 0.125 = 0.0775 \]

Now, divide the numerator by the denominator:

\[ K_{eq} = \frac{0.0576}{0.0775} \approx 0.74 \]

Thus, the correct answer is:

**a. 0.74**
Transcribed Image Text:### Problem 5: Equilibrium Constant Calculation Consider the following reaction: \[ \text{N}_2(g) + 3\text{H}_2(g) \leftrightharpoons 2\text{NH}_3(g) \] At equilibrium, the pressure values of the substances were: - \( \text{N}_2 \): 0.62 atm - \( \text{H}_2 \): 0.50 atm - \( \text{NH}_3 \): 0.24 atm **Question:** What is \( K_{eq} \) for the reaction? ### Multiple Choice Answers: a. 0.74 \ b. 2.7 \ c. 1.3 \ d. 0.60 \ e. 0.37 **Explanation:** To find the equilibrium constant \( K_{eq} \) for the reaction, we use the following formula for a gas-phase reaction, where pressures are given: \[ K_{eq} = \frac{P_{\text{NH}_3}^2}{P_{\text{N}_2} \cdot P_{\text{H}_2}^3} \] Given that: - \( P_{\text{N}_2} = 0.62 \) atm - \( P_{\text{H}_2} = 0.50 \) atm - \( P_{\text{NH}_3} = 0.24 \) atm Substitute these values into the equilibrium expression: \[ K_{eq} = \frac{(0.24)^2}{(0.62) \cdot (0.50)^3} \] Calculate the numerator: \[ (0.24)^2 = 0.0576 \] Calculate the denominator: \[ (0.62) \cdot (0.50)^3 = 0.62 \cdot 0.125 = 0.0775 \] Now, divide the numerator by the denominator: \[ K_{eq} = \frac{0.0576}{0.0775} \approx 0.74 \] Thus, the correct answer is: **a. 0.74**
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