14.7 Kinetic Theory & Boyle’s Law | everexams.com
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⚛️ 14.7 Kinetic Theory & Boyle’s Law

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According to Kinetic Theory, the pressure exerted by a gas in a container is caused by the collisions of its molecules with the walls. Pressure changes directly with the number of molecules colliding per unit time.

When pressure on a given mass of gas is increased at constant temperature, the distance between molecules decreases and volume decreases. If volume is reduced to one half, molecules per unit volume double → collisions double → pressure doubles. This is Boyle’s law: volume of a given mass of gas is inversely proportional to its pressure at constant temperature.

Mathematically: V ∝ 1/P or P₁V₁ = P₂V₂ (at constant T and mass).

🔬 Experimental verification (Boyle’s J-tube)

Robert Boyle used a J-shaped tube sealed at the short end. He poured mercury to trap air. Initially air at atmospheric pressure (760 mm Hg). Added mercury until height difference ~760 mm → pressure doubled (~2 atm). Volume of trapped air became half of initial. Mass & temperature constant. This verified P ∝ 1/V.

Figure 14.4 (described): trapped air, mercury columns, volume halved when pressure doubled.

Activity 14.1

Take a syringe, seal the nozzle. Push the plunger: volume decreases, pressure increases (feel resistance). Release: volume increases. Relate to Boyle’s law.

📌 Key Notes

Pressure from molecular collisions
P ∝ 1/V (constant T, mass)
Boyle’s experiment: J-tube, mercury
Halve volume → double pressure

35-Minute Lesson Planner (Teacher)

0-5 min Starter: Ask “how does a syringe feel when you push the plunger?” Elicit ideas about pressure.
5-10 min Kinetic theory recap: Collisions cause pressure; relation to number of molecules per unit volume.
10-15 min Introduce Boyle’s law: Statement, formula V∝1/P, P₁V₁ = P₂V₂. Real-life examples.
15-22 min Demonstrate/Explain Boyle’s experiment: Use diagram of J-tube (no AV, draw board). Explain how doubling pressure halves volume.
22-28 min Activity 14.1: Students use syringe (or teacher demo) to feel pressure-volume inverse relationship.
28-33 min Practice problem: If P₁=1 atm, V₁=500 mL, P₂=2 atm, find V₂ (250 mL). Discuss.
33-35 min Exit ticket: Write Boyle’s law in your own words.

Differentiation: Provide formula triangle for P,V; ask advanced students to derive relationship from kinetic theory.

Memorize Boyle’s law

🧪 Boyle’s jingle: “Pressure up, volume down – inverse in town.”
📏 J-tube memory: “Mercury column height difference = extra pressure, volume shrinks.”
📐 Formula: P₁V₁ = P₂V₂ (same T, mass)

📝 Gas Laws & Phase Change Quiz

🔑 Answer key:

📘 Student guidelines