Consider the equilibrium system described by the chemical reaction below. At equilibrium, a 5.0 L reaction vessel contained a mixture of 1.2 mol CH4, 2.8 mol H2S, 0.63 mol CS2, and 0.042 mol H2 at 93.0 °C. What are the values of Kc and Kp for the reaction at this temperature? CH«(g) + 2 H2S(g) = CS:(s) + 4 H2(g) 1 2 NEXT Based on the given data, set up the expression for Kc and then evaluate it. Do not combine or simplify terms. Ke %3D %3D

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### Calculating Equilibrium Constants: Kc and Kp

**Problem Statement:**
Consider the equilibrium system described by the chemical reaction below. At equilibrium, a 5.0 L reaction vessel contained a mixture of 1.2 mol CH₄, 2.8 mol H₂S, 0.63 mol CS₂, and 0.042 mol H₂ at 93.0 °C. What are the values of Kc and Kp for the reaction at this temperature?

\[ \text{CH}_4(\text{g}) + 2 \text{H}_2\text{S}(\text{g}) \leftrightharpoons \text{CS}_2(\text{s}) + 4 \text{H}_2(\text{g}) \]

**To solve the problem, follow these steps:**

1. **Calculate the concentration of each species:**
   - CH₄: \(\frac{1.2 \text{ mol}}{5.0 \text{ L}} = 0.24 \text{ M}\)
   - H₂S: \(\frac{2.8 \text{ mol}}{5.0 \text{ L}} = 0.56 \text{ M}\)
   - CS₂: \(\frac{0.63 \text{ mol}}{5.0 \text{ L}} = 0.126 \text{ M}\)
   - H₂: \(\frac{0.042 \text{ mol}}{5.0 \text{ L}} = 0.0084 \text{ M}\)

2. **Set up the expression for \( K_c \):**

\[ K_c = \frac{[\text{H}_2]^4}{[\text{CH}_4][\text{H}_2\text{S}]^2} \]

3. **Insert the concentrations into the expression:**

\[ K_c = \frac{(0.0084)^4}{(0.24)(0.56)^2} \]

**Next Steps:**
The webpage includes an interactive component where users can select the correct values to place into the expression for \( K_c \). The options provided at the bottom include numerical values for the concentrations and other required multiplications.

---

**Interactive Component Description:**
Users can drag and drop these values into the respective boxes to complete the \(
Transcribed Image Text:### Calculating Equilibrium Constants: Kc and Kp **Problem Statement:** Consider the equilibrium system described by the chemical reaction below. At equilibrium, a 5.0 L reaction vessel contained a mixture of 1.2 mol CH₄, 2.8 mol H₂S, 0.63 mol CS₂, and 0.042 mol H₂ at 93.0 °C. What are the values of Kc and Kp for the reaction at this temperature? \[ \text{CH}_4(\text{g}) + 2 \text{H}_2\text{S}(\text{g}) \leftrightharpoons \text{CS}_2(\text{s}) + 4 \text{H}_2(\text{g}) \] **To solve the problem, follow these steps:** 1. **Calculate the concentration of each species:** - CH₄: \(\frac{1.2 \text{ mol}}{5.0 \text{ L}} = 0.24 \text{ M}\) - H₂S: \(\frac{2.8 \text{ mol}}{5.0 \text{ L}} = 0.56 \text{ M}\) - CS₂: \(\frac{0.63 \text{ mol}}{5.0 \text{ L}} = 0.126 \text{ M}\) - H₂: \(\frac{0.042 \text{ mol}}{5.0 \text{ L}} = 0.0084 \text{ M}\) 2. **Set up the expression for \( K_c \):** \[ K_c = \frac{[\text{H}_2]^4}{[\text{CH}_4][\text{H}_2\text{S}]^2} \] 3. **Insert the concentrations into the expression:** \[ K_c = \frac{(0.0084)^4}{(0.24)(0.56)^2} \] **Next Steps:** The webpage includes an interactive component where users can select the correct values to place into the expression for \( K_c \). The options provided at the bottom include numerical values for the concentrations and other required multiplications. --- **Interactive Component Description:** Users can drag and drop these values into the respective boxes to complete the \(
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