---
title: "The relationship between the equilibrium constant, \\(K_{eq}\\), and absolute temperature, \\(T\\), for the synthesis of sulfur trioxide is investigated:  \\[ 2\\,\\text{SO}_2\\text{(g)} + \\text{O}_2\\text{(g)} \\rightleftharpoons 2\\,\\text{SO}_3\\text{(g)} \\]  A student measures \\(K_{eq}\\) at various temperatures and generates the plot of \\(\\ln K_{eq}\\) versus \\(1/T\\) shown below.  Based on the graph, which of the following claims about the standard enthalpy change of the reaction, \\(\\Delta H^\\circ\\), and the effect of increasing temperature on the equilibrium system is correct?"
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url: "https://nerd-notes.com/ubq/120307/"
date_modified: "2026-08-23T04:04:28+00:00"
---

# The relationship between the equilibrium constant, \(K_{eq}\), and absolute temperature, \(T\), for the synthesis of sulfur trioxide is investigated:

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

A student measures \(K_{eq}\) at various temperatures and generates the plot of \(\ln K_{eq}\) versus \(1/T\) shown below.

Based on the graph, which of the following claims about the standard enthalpy change of the reaction, \(\Delta H^\circ\), and the effect of increasing temperature on the equilibrium system is correct?

The relationship between the equilibrium constant, \(K_{eq}\), and absolute temperature, \(T\), for the synthesis of sulfur trioxide is investigated:

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

A student measures \(K_{eq}\) at various temperatures and generates the plot of \(\ln K_{eq}\) versus \(1/T\) shown below.

Based on the graph, which of the following claims about the standard enthalpy change of the reaction, \(\Delta H^\circ\), and the effect of increasing temperature on the equilibrium system is correct?

![A 2D line graph with bare axes and tick marks, no background gridlines. The horizontal axis is labeled 1/T (K^-1) with evenly spaced tick marks at 1.0 x 10^-3, 1.2 x 10^-3, 1.4 x 10^-3, and 1.6 x 10^-3. The vertical axis is labeled ln K_eq with tick marks at 0, 4, 8, 12, and 16. A single solid black line with a positive slope begins at the point (1.0 x 10^-3, 2.0) and extends linearly upward to the right, ending at (1.6 x 10^-3, 14.0). No other curves, data points, labels, text, or annotations appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787457868-jl2PUC.jpg)

- **A.** \(\Delta H^\circ > 0\) (endothermic), and increasing the temperature increases the value of \(K_{eq}\) and the yield of \(\text{SO}_3\text{(g)}\).
- **B.** \(\Delta H^\circ > 0\) (endothermic), and increasing the temperature decreases the value of \(K_{eq}\) and the yield of \(\text{SO}_3\text{(g)}\).
- **C.** \(\Delta H^\circ < 0\) (exothermic), and increasing the temperature decreases the value of \(K_{eq}\) and the yield of \(\text{SO}_3\text{(g)}\).
- **D.** \(\Delta H^\circ < 0\) (exothermic), and increasing the temperature increases the value of \(K_{eq}\) and the yield of \(\text{SO}_3\text{(g)}\).

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120307/*