---
title: "A student studies the decomposition of aqueous hydrogen peroxide used in a water-treatment process. The reaction occurs at constant volume according to the equation  \\[ 2\\text{H}_2\\text{O}_2\\text{(aq)} \\rightarrow 2\\text{H}_2\\text{O(l)}+\\text{O}_2\\text{(g)} \\]  The graph shows the concentration of \\(\\text{H}_2\\text{O}_2\\) as a function of time. The dashed line is tangent to the concentration curve at \\(t=60\\text{ s}\\). What is the ratio of the instantaneous rate of formation of \\(\\text{O}_2\\) at \\(t=60\\text{ s}\\) to the average rate of disappearance of \\(\\text{H}_2\\text{O}_2\\) from \\(t=0\\text{ s}\\) to \\(t=60\\text{ s}\\)?"
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url: "https://nerd-notes.com/ubq/120056/"
date_modified: "2026-08-21T08:41:01+00:00"
---

# A student studies the decomposition of aqueous hydrogen peroxide used in a water-treatment process. The reaction occurs at constant volume according to the equation

\[
2\text{H}_2\text{O}_2\text{(aq)} \rightarrow 2\text{H}_2\text{O(l)}+\text{O}_2\text{(g)}
\]

The graph shows the concentration of \(\text{H}_2\text{O}_2\) as a function of time. The dashed line is tangent to the concentration curve at \(t=60\text{ s}\). What is the ratio of the instantaneous rate of formation of \(\text{O}_2\) at \(t=60\text{ s}\) to the average rate of disappearance of \(\text{H}_2\text{O}_2\) from \(t=0\text{ s}\) to \(t=60\text{ s}\)?

A student studies the decomposition of aqueous hydrogen peroxide used in a water-treatment process. The reaction occurs at constant volume according to the equation

\[
2\text{H}_2\text{O}_2\text{(aq)} \rightarrow 2\text{H}_2\text{O(l)}+\text{O}_2\text{(g)}
\]

The graph shows the concentration of \(\text{H}_2\text{O}_2\) as a function of time. The dashed line is tangent to the concentration curve at \(t=60\text{ s}\). What is the ratio of the instantaneous rate of formation of \(\text{O}_2\) at \(t=60\text{ s}\) to the average rate of disappearance of \(\text{H}_2\text{O}_2\) from \(t=0\text{ s}\) to \(t=60\text{ s}\)?

![Draw a grayscale Cartesian graph with light gridlines. The horizontal axis is labeled \(t\ (\text{s})\), spans \(0\text{ s}\) to \(100\text{ s}\), and has ticks every \(20\text{ s}\). The vertical axis is labeled \([\text{H}_2\text{O}_2]\ (\text{M})\), spans \(0\text{ M}\) to \(1.20\text{ M}\), and has ticks every \(0.12\text{ M}\). A smooth solid decreasing, concave-up curve starts at a filled circle annotated \((0\text{ s},1.20\text{ M})\), passes through a filled circle annotated \((60\text{ s},0.60\text{ M})\), and continues above the dashed line. Draw that dashed straight line tangent at the latter point. Place exactly \(2\) open square markers on the dashed line, annotated \((40\text{ s},0.72\text{ M})\) and \((80\text{ s},0.48\text{ M})\). Include a compact legend containing “solid concentration curve” and “dashed tangent.” Keep all labels nonoverlapping. No other curves, points, labels, text, or annotations appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787301661-O3oOqL.jpg)

- **A.** \(0.30\)
- **B.** \(0.50\)
- **C.** \(0.60\)
- **D.** \(3.3\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120056/*