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LESSON 12 / 22 · TOPIC 4.5

How much gas does a reaction produce?

You will be able to: Combine a balanced mole ratio with the ideal gas law under stated conditions.

Particles, measurements and chemical reasoningFree study resourceReview editionTeacher review pending

How much gas does a reaction produce?

A gas-collection syringe measures volume, while the reaction equation counts moles. Temperature and pressure form the bridge between those two descriptions.

A useful starting point: Review gas variables, kelvin and matching units →

Words and symbols before equations

Pressure, P
Force per area; use atm with the chosen R.
Absolute temperature, T
Temperature in kelvin; K = °C + 273.15.
Gas constant, R
0.08206 L·atm·mol⁻¹·K⁻¹ for these units.
Dry gas
Gas whose stated pressure does not include water vapor.
Dry CO₂ volume from reaction molesDry CO₂ volume from reaction molesn = 0.05 mol; T = 300 K; P = 1 atmR = 0.08206 L·atm·mol⁻¹·K⁻¹V = nRT/P = 1.2309 LUse dry product pressure, not wet total pressure.
Read this model snapshot. Ideal dry gas volume is 1.2309 L. Fixed n and T: higher pressure gives a smaller volume.
What this picture assumes

Ideal dry gas; R = 0.08206 L·atm·mol⁻¹·K⁻¹. Gas amount comes from a supplied complete reaction; no leak or water-vapor contribution.

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. Ideal dry gas volume is 1.2309 L. Fixed n and T: higher pressure gives a smaller volume.
  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

For the supplied decomposition CaCO₃(s) → CaO(s) + CO₂(g), one mole carbonate can form one mole CO₂. First use stoichiometry to find gas moles.

Then use V = nRT/P for an ideal-gas approximation. Specify temperature and pressure; there is no universal molar gas volume at all conditions.

If gas is collected over water, total pressure includes water vapor. Use the dry product’s partial pressure Pgas = Ptotal − Pwater, with vapor pressure supplied for the stated temperature.

The model assumes complete decomposition, ideal gas behavior and no leaks. It is a quantitative illustration, not a home laboratory instruction.

A worked example, step by step

A complete reaction produces 0.0500 mol dry CO₂ at 300 K and 1.00 atm. Calculate its ideal volume.

  1. Identify n = 0.0500 mol, T = 300 K, P = 1.00 atm.
  2. Use R = 0.08206 L·atm·mol⁻¹·K⁻¹ to match the units.
  3. V = 0.0500 × 0.08206 × 300 / 1.00 = 1.2309 L.
  4. Report about 1.23 L. At a different temperature or pressure, the same mole amount occupies a different volume.
Common mix-up

Do not assume 22.4 L/mol unless the specified conditions justify that approximation. Use kelvin.

CHECK THE IDEA

Does doubling gas pressure double the produced mole amount?

Compare with an explanation

No. At fixed amount and temperature, it halves the ideal volume.

Now investigate one change Explore →

Predict. Change one thing. Explain.

Hold product moles fixed. Double the pressure, then restore it and increase temperature. Predict each volume change before moving the controls.

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

Dry CO₂ volume from reaction molesDry CO₂ volume from reaction molesn = 0.05 mol; T = 300 K; P = 1 atmR = 0.08206 L·atm·mol⁻¹·K⁻¹V = nRT/P = 1.2309 LUse dry product pressure, not wet total pressure.

Ideal dry gas volume is 1.2309 L. Fixed n and T: higher pressure gives a smaller volume.

Fixed amount and temperatureFixed amount and temperature0.500.81.41.12.81.44.21.75.627Dry pressure (atm)Volume (L)Solid: V = nRT/P

Ideal dry gas; R = 0.08206 L·atm·mol⁻¹·K⁻¹. Gas amount comes from a supplied complete reaction; no leak or water-vapor contribution.

Explain what you noticed: Answer the investigation prompt above. State one observation and explain it using conserved atoms/charge, reaction ratios, particle identity or electron/proton transfer. 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 temperature belongs in PV = nRT?

Show answer and reasoning

Absolute temperature in K. The ideal gas law uses absolute temperature.

2. A wet sample has total pressure 1.00 atm and water-vapor pressure 0.030 atm. Dry gas pressure?

Show answer and reasoning

0.970 atm. Subtract water’s partial pressure from the total: 1.00 − 0.030 = 0.970 atm.

Original written challenge

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

For complete CaCO₃ → CaO + CO₂, 0.0200 mol CaCO₃ reacts. Find dry CO₂ volume at 300 K and 0.800 atm, then predict the volume at twice the pressure with fixed T and n.

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

Compare with the answer and four-point rubric
  1. 1 point: The 1:1 ratio produces 0.0200 mol CO₂.
  2. 1 point: V = nRT/P with the stated units.
  3. 1 point: V = 0.0200 × 0.08206 × 300 / 0.800 = 0.615 L.
  4. 1 point: At twice the pressure, ideal volume halves to about 0.308 L.

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 1What comes before the gas law?

Use the balanced reaction to calculate gas moles.

RECALL 2Why correct for water vapor?

Only the product gas’s partial pressure belongs with its moles.

RECALL 3What assumptions are used?

Complete reaction, no leaks and approximately ideal gas behavior.

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

How much gas does a reaction produce?

  • Stoichiometry → ngas; V = ngasRT/Pgas.
  • For wet gas: Pgas = Ptotal − Pwater.

Remember: Do not assume 22.4 L/mol unless the specified conditions justify that approximation. Use kelvin.

Conditions: Ideal dry gas; R = 0.08206 L·atm·mol⁻¹·K⁻¹. Gas amount comes from a supplied complete reaction; no leak or water-vapor contribution.

Refresh Kid · AP Chemistry Unit 4 · Objectives 4.5.A · Review edition

Framework, scope and review status

Mapped to College Board CED, Topic 4.5, objective 4.5.A. CED effective Fall 2024 and June 2026 clarifications checked September 16, 2026. Unit 4: Chemical Reactions, Topics 4.1–4.9. 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. Solubility facts for sodium, potassium, ammonium and nitrate salts are included; other precipitation cases give the needed information. Lewis acid-base theory and the labels oxidizing/reducing agent are not treated as required exam content. Quantitative pH, equilibrium and electrochemical potentials are developed in later units. Stoichiometric models state complete-reaction assumptions; they are not mechanisms or equilibrium simulations.

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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