---
title: "A student monitors the disappearance of a dissolved dye, represented by \\(\\text{D(aq)}\\), at constant temperature and light intensity. The student constructs the three plots shown.  In a second trial under the same conditions, the student changes the initial dye concentration from \\(0.500\\ \\text{M}\\) to \\(0.250\\ \\text{M}\\). Based on the graphs, what is the half-life of \\(\\text{D(aq)}\\) in the second trial?"
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url: "https://nerd-notes.com/ubq/120068/"
date_modified: "2026-08-21T08:41:09+00:00"
---

# A student monitors the disappearance of a dissolved dye, represented by \(\text{D(aq)}\), at constant temperature and light intensity. The student constructs the three plots shown.

In a second trial under the same conditions, the student changes the initial dye concentration from \(0.500\ \text{M}\) to \(0.250\ \text{M}\). Based on the graphs, what is the half-life of \(\text{D(aq)}\) in the second trial?

A student monitors the disappearance of a dissolved dye, represented by \(\text{D(aq)}\), at constant temperature and light intensity. The student constructs the three plots shown.

In a second trial under the same conditions, the student changes the initial dye concentration from \(0.500\ \text{M}\) to \(0.250\ \text{M}\). Based on the graphs, what is the half-life of \(\text{D(aq)}\) in the second trial?

![Draw \(3\) vertically stacked grayscale plots sharing \(1\) horizontal axis labeled \(t\ (\text{s})\), with ticks at \(0\), \(20\), and \(40\). The top vertical axis is labeled \([\text{D}]\ (\text{M})\) and ranges from \(0\) to \(0.60\); a solid decreasing, concave-up curve passes through the unlabeled coordinates \((0,0.500)\), \((20,0.167)\), and \((40,0.100)\). The middle vertical axis is labeled \(\ln[\text{D}]\) and ranges from \(-2.4\) to \(-0.6\); a solid decreasing, concave-up curve passes through \((0,-0.693)\), \((20,-1.792)\), and \((40,-2.303)\). The bottom vertical axis is labeled \(1/[\text{D}]\ (\text{M}^{-1})\) and ranges from \(0\) to \(10\); a solid straight line passes through \((0,2.0)\), \((20,6.0)\), and \((40,10.0)\). Place filled circular markers at the stated coordinates. Include light gridlines at all ticks and no legend. Do not annotate the order or slope. No other labels, text, or annotations appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787301669-MaLT6r.jpg)

- **A.** \(5.0\ \text{s}\)
- **B.** \(10\ \text{s}\)
- **C.** \(20\ \text{s}\)
- **D.** \(40\ \text{s}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120068/*