---
title: "At a given temperature, the equilibrium constants for the following two reactions are known:  \\(\\text{2 NO(g)} + \\text{O}_2\\text{(g)} \\rightleftharpoons 2\\text{NO}_2\\text{(g)}\\) \\quad \\(K_1 = 2.0 \\times 10^4\\) \\(\\text{N}_2\\text{(g)} + \\text{O}_2\\text{(g)} \\rightleftharpoons 2\\text{NO(g)}\\) \\quad \\(K_2 = 5.0 \\times 10^{-2}\\)  Based on this information, what is the value of the equilibrium constant, \\(K_c\\), for the reaction \\(\\text{2 NO}_2\\text{(g)} \\rightleftharpoons \\text{N}_2\\text{(g)} + 2\\text{O}_2\\text{(g)}\\) at the same temperature?"
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url: "https://nerd-notes.com/ubq/119350/"
date_modified: "2026-08-19T12:39:55+00:00"
---

# At a given temperature, the equilibrium constants for the following two reactions are known:

\(\text{2 NO(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{NO}_2\text{(g)}\) \quad \(K_1 = 2.0 \times 10^4\)
\(\text{N}_2\text{(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{NO(g)}\) \quad \(K_2 = 5.0 \times 10^{-2}\)

Based on this information, what is the value of the equilibrium constant, \(K_c\), for the reaction \(\text{2 NO}_2\text{(g)} \rightleftharpoons \text{N}_2\text{(g)} + 2\text{O}_2\text{(g)}\) at the same temperature?

At a given temperature, the equilibrium constants for the following two reactions are known:

\(\text{2 NO(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{NO}_2\text{(g)}\) \quad \(K_1 = 2.0 \times 10^4\)
\(\text{N}_2\text{(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{NO(g)}\) \quad \(K_2 = 5.0 \times 10^{-2}\)

Based on this information, what is the value of the equilibrium constant, \(K_c\), for the reaction \(\text{2 NO}_2\text{(g)} \rightleftharpoons \text{N}_2\text{(g)} + 2\text{O}_2\text{(g)}\) at the same temperature?

- **A.** \(2.5 \times 10^{-6}\)
- **B.** \(5.0 \times 10^{-5}\)
- **C.** \(1.0 \times 10^{-3}\)
- **D.** \(1.0 \times 10^3\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/119350/*