---
title: "An investigation is conducted to study the kinetics of the reaction represented below:  \\[ \\text{A(aq)} + \\text{B(aq)} \\rightarrow \\text{C(aq)} + \\text{D(aq)} \\]  The reaction is first order with respect to \\(\\text{A}\\) and first order with respect to \\(\\text{B}\\). Four separate trials are carried out under different experimental conditions, and the initial rate of reaction is recorded for each trial as shown in the table below.  | Trial | Temperature (\\(\\text{K}\\)) | Catalyst present | Initial \\([\\text{A}]\\) (\\(\\text{M}\\)) | Initial \\([\\text{B}]\\) (\\(\\text{M}\\)) | Initial rate (\\(\\text{M}\\cdot\\text{s}^{-1}\\)) | |—|—|—|—|—|—| | 1 | \\(295\\) | No | \\(0.10\\) | \\(0.10\\) | \\(1.2 \\times 10^{-4}\\) | | 2 | \\(295\\) | No | \\(0.20\\) | \\(0.20\\) | \\(4.8 \\times 10^{-4}\\) | | 3 | \\(325\\) | No | \\(0.10\\) | \\(0.10\\) | \\(6.0 \\times 10^{-4}\\) | | 4 | \\(325\\) | Yes | \\(0.10\\) | \\(0.10\\) | \\(3.6 \\times 10^{-3}\\) |  Which of the following correctly ranks the rate constants, \\(k_1\\), \\(k_2\\), \\(k_3\\), and \\(k_4\\), for the four trials from greatest to least?"
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url: "https://nerd-notes.com/ubq/123697/"
date_modified: "2026-09-28T12:02:01+00:00"
---

# An investigation is conducted to study the kinetics of the reaction represented below:

\[ \text{A(aq)} + \text{B(aq)} \rightarrow \text{C(aq)} + \text{D(aq)} \]

The reaction is first order with respect to \(\text{A}\) and first order with respect to \(\text{B}\). Four separate trials are carried out under different experimental conditions, and the initial rate of reaction is recorded for each trial as shown in the table below.

| Trial | Temperature (\(\text{K}\)) | Catalyst present | Initial \([\text{A}]\) (\(\text{M}\)) | Initial \([\text{B}]\) (\(\text{M}\)) | Initial rate (\(\text{M}\cdot\text{s}^{-1}\)) |
|—|—|—|—|—|—|
| 1 | \(295\) | No | \(0.10\) | \(0.10\) | \(1.2 \times 10^{-4}\) |
| 2 | \(295\) | No | \(0.20\) | \(0.20\) | \(4.8 \times 10^{-4}\) |
| 3 | \(325\) | No | \(0.10\) | \(0.10\) | \(6.0 \times 10^{-4}\) |
| 4 | \(325\) | Yes | \(0.10\) | \(0.10\) | \(3.6 \times 10^{-3}\) |

Which of the following correctly ranks the rate constants, \(k_1\), \(k_2\), \(k_3\), and \(k_4\), for the four trials from greatest to least?

An investigation is conducted to study the kinetics of the reaction represented below:

\[ \text{A(aq)} + \text{B(aq)} \rightarrow \text{C(aq)} + \text{D(aq)} \]

The reaction is first order with respect to \(\text{A}\) and first order with respect to \(\text{B}\). Four separate trials are carried out under different experimental conditions, and the initial rate of reaction is recorded for each trial as shown in the table below.

| Trial | Temperature (\(\text{K}\)) | Catalyst present | Initial \([\text{A}]\) (\(\text{M}\)) | Initial \([\text{B}]\) (\(\text{M}\)) | Initial rate (\(\text{M}\cdot\text{s}^{-1}\)) |
|---|---|---|---|---|---|
| 1 | \(295\) | No | \(0.10\) | \(0.10\) | \(1.2 \times 10^{-4}\) |
| 2 | \(295\) | No | \(0.20\) | \(0.20\) | \(4.8 \times 10^{-4}\) |
| 3 | \(325\) | No | \(0.10\) | \(0.10\) | \(6.0 \times 10^{-4}\) |
| 4 | \(325\) | Yes | \(0.10\) | \(0.10\) | \(3.6 \times 10^{-3}\) |

Which of the following correctly ranks the rate constants, \(k_1\), \(k_2\), \(k_3\), and \(k_4\), for the four trials from greatest to least?

- **A.** \(k_4 > k_3 > k_2 > k_1\)
- **B.** \(k_4 > k_2 > k_3 > k_1\)
- **C.** \(k_4 > k_3 > k_1 = k_2\)
- **D.** \(k_4 = k_3 > k_1 = k_2\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/123697/*
