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LESSON 06 / 22 · TOPIC 5.2

How can color measurements reveal reaction rate?

You will be able to: Convert a suitable experimental signal into concentration and design a controlled rate measurement.

Particles, measurements and chemical reasoningFree study resourceReview editionTeacher review pending

How can color measurements reveal reaction rate?

A colored reactant becomes paler as it is consumed. A colorimeter can record a signal every few seconds, giving more useful information than simply noting that the liquid looks lighter.

A useful starting point: Review absorbance, concentration and conditions →

Words and symbols before equations

Absorbance, Abs
Dimensionless light-absorption measure proportional to concentration under Beer–Lambert conditions.
Calibration
A measured relationship connecting instrument signal to known concentration.
Controlled experiment
Comparison that isolates a variable while holding others fixed.
Initial slope
Concentration-versus-time slope near the start.
Calibrated absorbance decreases with timeCalibrated absorbance decreases with timeAbsorbance (dimensionless)000.18120.36240.54360.72480.960Time (s)Solid: Abs=100[A]
Read this model snapshot. At 0 s: Abs=0.8; [A]=0.008 M; disappearance=0.00016 M/s. Divide the absorbance-loss rate by 100 M⁻¹ to obtain concentration rate.
What this picture assumes

Illustrative [A]=0.00800 exp(−0.020t) M; absorbance=(100 M⁻¹)[A]. Fixed optical path, valid linear calibration and only A absorbing. No experimental dataset is claimed.

Read the picture in three steps

  1. Read the species and labels first. Identify what each symbol and line represents. Read the units and fixed conditions before comparing quantities.
  2. At 0 s: Abs=0.8; [A]=0.008 M; disappearance=0.00016 M/s. Divide the absorbance-loss rate by 100 M⁻¹ to obtain concentration rate.
  3. Check what the picture assumes below. Use the Explore task to predict one change before moving a control.

Connect the picture to the chemistry

If only the monitored reactant absorbs significantly at the chosen wavelength and the optical path stays fixed, Abs = εbc connects absorbance to concentration. Divide by the known calibration slope εb.

Calculate concentration changes over known time intervals; the raw absorbance slope has units s⁻¹ and is not automatically a concentration rate in M/s.

Use the same temperature, wavelength, path length and mixing/timing procedure when comparing initial rates. A blank and an appropriate calibration help identify instrument offsets.

A lag before the first reading can miss the fastest early change. Product absorption, turbidity or a drifting baseline can invalidate a simple single-species conversion. State those assumptions rather than treating every signal as concentration.

A worked example, step by step

A calibration gives Abs = (100 M⁻¹)c. Abs drops from 0.60 to 0.40 over 20 s. Find average reactant disappearance rate.

  1. Convert the first reading: c₁ = 0.60/100 = 0.0060 M.
  2. Convert the second: c₂ = 0.40/100 = 0.0040 M.
  3. Average disappearance rate = −(0.0040−0.0060)/20 = 0.00010 M/s.
  4. The same result follows from dividing the positive absorbance-loss rate by 100 M⁻¹; the calibration and selectivity assumptions matter.
Common mix-up

Absorbance is not concentration itself. A signal needs a justified calibration before it becomes a molar rate.

CHECK THE IDEA

Would an absorbing product complicate the simple conversion?

Compare with an explanation

Yes. The signal could include multiple species, so reactant concentration cannot be inferred from this one-species calibration alone.

Now investigate one change Explore →

Predict. Change one thing. Explain.

Change elapsed time for the calibrated first-order signal. Compare absorbance with concentration and explain why both curves have the same shape but different vertical units.

On narrow screens, swipe or scroll diagrams sideways to read all labels.

Calibrated absorbance decreases with timeCalibrated absorbance decreases with timeAbsorbance (dimensionless)000.18120.36240.54360.72480.960Time (s)Solid: Abs=100[A]

At 0 s: Abs=0.8; [A]=0.008 M; disappearance=0.00016 M/s. Divide the absorbance-loss rate by 100 M⁻¹ to obtain concentration rate.

Same measurements converted to concentrationSame measurements converted to concentration[A] (M)000.0018120.0036240.0054360.0072480.00960Time (s)Solid: [A]=Abs/100

Illustrative [A]=0.00800 exp(−0.020t) M; absorbance=(100 M⁻¹)[A]. Fixed optical path, valid linear calibration and only A absorbing. No experimental dataset is claimed.

Explain what you noticed: Answer the investigation prompt above. State one observation and explain it using concentration–time slopes, rate-law dependence, encounter geometry or the stated mechanism. Identify what the representation cannot tell you.

Apply the idea to a fresh problem Practice →

Show what you understand.

Two original questions are a starting check, not proof of mastery. Explain your choice before revealing the answer.

1. Which supports a fair initial-rate comparison?

Show answer and reasoning

Hold temperature and optical path fixed. Fixed measurement and reaction conditions isolate the intended concentration effect.

2. For Abs=200 M⁻¹ × c, Abs=0.50 corresponds to…

Show answer and reasoning

0.0025 M. Divide the dimensionless absorbance by 200 M⁻¹.

Original written challenge

4 points · self-check · not an official AP question

A calibration is Abs=50 M⁻¹ × c. Abs falls from 0.80 to 0.50 in 30 s. Find both concentrations and average disappearance rate, and state one assumption.

This response is not submitted or saved. Copy it before leaving.

Compare with the answer and four-point rubric
  1. 1 point: Initial c = 0.80/50 = 0.016 M.
  2. 1 point: Final c = 0.50/50 = 0.010 M.
  3. 1 point: Rate = (0.016−0.010)/30 = 0.00020 M/s.
  4. 1 point: Accept fixed optical path, valid linear calibration, negligible product absorption, no turbidity or equivalent justified assumption.

Accept equivalent correct methods and explanations. This is a Refresh Kid teaching rubric, not an official AP scoring guideline.

Recall the ideas without notes Review →

Retrieve it before you reveal it.

RECALL 1Why use calibration?

To turn a signal into a known chemical quantity.

RECALL 2Why begin readings promptly?

To avoid missing the early reaction rate.

RECALL 3What can invalidate a one-species absorbance model?

Other absorbing species, turbidity or changing instrument conditions.

Revisit these tomorrow and a week later. Try a fresh problem and explain why the method applies.

How can color measurements reveal reaction rate?

  • At fixed ε and b: c = Abs/(εb).
  • Disappearance rate = −ΔAbs/[(εb)Δt].

Remember: Absorbance is not concentration itself. A signal needs a justified calibration before it becomes a molar rate.

Conditions: Illustrative [A]=0.00800 exp(−0.020t) M; absorbance=(100 M⁻¹)[A]. Fixed optical path, valid linear calibration and only A absorbing. No experimental dataset is claimed.

Refresh Kid · AP Chemistry Unit 5 · Objectives 5.2.A · Review edition

Framework, scope and review status

Mapped to College Board CED, Topic 5.2, objective 5.2.A. CED effective Fall 2024 and June 2026 clarifications checked September 16, 2026. Unit 5: Kinetics, Topics 5.1–5.11. Focused lesson names, examples, models and assessments are original Refresh Kid teaching materials, not additional official topics or official AP questions. Official corrections.

The model states its assumptions beside the diagram. Arrhenius calculations are not assessed in the current AP framework; temperature and activation energy are taught qualitatively here. Collection of intermediate-detection data is not assigned. Integrated rate laws explicitly use the monitored species’ disappearance constant, while event and normalized reaction rates are labeled separately. Pre-equilibrium models state their timescale assumptions and use free concentrations. Original illustrative data and geometry are not measured kinetics.

Teaching resources: The Organic Chemistry Tutor video titles/descriptions and topic coverage were checked for optional links; no claim is made to have watched every video. No creator scripts, examples, worksheets or artwork were copied. GitHub’s 3D website collection and its Three.js camera-control example informed the idea of controllable spatial inspection. Scientific diagrams, geometry and interactions here are original. The self-hosted Three.js runtime retains its MIT license. Camera rotation changes the view, not the chemistry.

Independent teacher review and observation of students remain pending. Implementation checks do not certify scientific accuracy, accessibility or learning effectiveness. This is a review edition.

Optional official resource: Released AP Chemistry questions and scoring guides. This archive contains questions across units; it is not an assignment of every question to this lesson.

The teaching sequence is informed by the IES learning guide; this exact implementation has not been evaluated with learners.

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