---
title: "At a certain temperature, the equilibrium constant \\(K_c\\) for the reaction represented below is \\(4.0 \\times 10^2\\).  \\[ 2\\,\\text{SO}_2(g) + \\text{O}_2(g) \\rightleftharpoons 2\\,\\text{SO}_3(g) \\]  What is the value of \\(K_c\\) for the following reaction at the same temperature?  \\[ \\text{SO}_3(g) \\rightleftharpoons \\text{SO}_2(g) + \\frac{1}{2}\\,\\text{O}_2(g) \\]"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/121378/"
date_modified: "2026-08-23T05:01:58+00:00"
---

# At a certain temperature, the equilibrium constant \(K_c\) for the reaction represented below is \(4.0 \times 10^2\).

\[ 2\,\text{SO}_2(g) + \text{O}_2(g) \rightleftharpoons 2\,\text{SO}_3(g) \]

What is the value of \(K_c\) for the following reaction at the same temperature?

\[ \text{SO}_3(g) \rightleftharpoons \text{SO}_2(g) + \frac{1}{2}\,\text{O}_2(g) \]

At a certain temperature, the equilibrium constant \(K_c\) for the reaction represented below is \(4.0 \times 10^2\).

\[ 2\,\text{SO}_2(g) + \text{O}_2(g) \rightleftharpoons 2\,\text{SO}_3(g) \]

What is the value of \(K_c\) for the following reaction at the same temperature?

\[ \text{SO}_3(g) \rightleftharpoons \text{SO}_2(g) + \frac{1}{2}\,\text{O}_2(g) \]

- **A.** \(2.5 \times 10^{-3}\)
- **B.** \(5.0 \times 10^{-2}\)
- **C.** \(20\)
- **D.** \(200\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121378/*