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title: "The equilibrium constants for three reactions at a constant temperature of \\(1000\\text{ K}\\) are given below.  \\[\\text{H}_2(g) + \\dfrac{1}{2}\\,\\text{S}_2(g) \\rightleftharpoons \\text{H}_2\\text{S}(g) \\quad K_1 = 5.0 \\times 10^{-2}\\]  \\[\\text{SO}_2(g) \\rightleftharpoons \\dfrac{1}{2}\\,\\text{S}_2(g) + \\text{O}_2(g) \\quad K_2 = 2.0 \\times 10^{-3}\\]  \\[2\\,\\text{H}_2(g) + \\text{O}_2(g) \\rightleftharpoons 2\\,\\text{H}_2\\text{O}(g) \\quad K_3 = 5.0 \\times 10^{-4}\\]  Based on this information, what is the value of the equilibrium constant, \\(K\\), for the reaction \\(2\\,\\text{H}_2\\text{S}(g) + 3\\,\\text{O}_2(g) \\rightleftharpoons 2\\,\\text{SO}_2(g) + 2\\,\\text{H}_2\\text{O}(g)\\) at \\(1000\\text{ K}\\)?"
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date_modified: "2026-08-21T08:12:27+00:00"
---

# The equilibrium constants for three reactions at a constant temperature of \(1000\text{ K}\) are given below.

\[\text{H}_2(g) + \dfrac{1}{2}\,\text{S}_2(g) \rightleftharpoons \text{H}_2\text{S}(g) \quad K_1 = 5.0 \times 10^{-2}\]

\[\text{SO}_2(g) \rightleftharpoons \dfrac{1}{2}\,\text{S}_2(g) + \text{O}_2(g) \quad K_2 = 2.0 \times 10^{-3}\]

\[2\,\text{H}_2(g) + \text{O}_2(g) \rightleftharpoons 2\,\text{H}_2\text{O}(g) \quad K_3 = 5.0 \times 10^{-4}\]

Based on this information, what is the value of the equilibrium constant, \(K\), for the reaction \(2\,\text{H}_2\text{S}(g) + 3\,\text{O}_2(g) \rightleftharpoons 2\,\text{SO}_2(g) + 2\,\text{H}_2\text{O}(g)\) at \(1000\text{ K}\)?

The equilibrium constants for three reactions at a constant temperature of \(1000\text{ K}\) are given below.

\[\text{H}_2(g) + \dfrac{1}{2}\,\text{S}_2(g) \rightleftharpoons \text{H}_2\text{S}(g) \quad K_1 = 5.0 \times 10^{-2}\]

\[\text{SO}_2(g) \rightleftharpoons \dfrac{1}{2}\,\text{S}_2(g) + \text{O}_2(g) \quad K_2 = 2.0 \times 10^{-3}\]

\[2\,\text{H}_2(g) + \text{O}_2(g) \rightleftharpoons 2\,\text{H}_2\text{O}(g) \quad K_3 = 5.0 \times 10^{-4}\]

Based on this information, what is the value of the equilibrium constant, \(K\), for the reaction \(2\,\text{H}_2\text{S}(g) + 3\,\text{O}_2(g) \rightleftharpoons 2\,\text{SO}_2(g) + 2\,\text{H}_2\text{O}(g)\) at \(1000\text{ K}\)?

- **A.** \(5.0\)
- **B.** \(5.0 \times 10^4\)
- **C.** \(1.0 \times 10^8\)
- **D.** \(2.0 \times 10^{11}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/119814/*