Topic: Thermal Expansion of Solids
Class: SS1
Specific Objectives:
By the end of this lesson, students should be able to:
- Define thermal expansion of solids.
- Explain why solids expand when heated.
- Give examples of thermal expansion in daily life.
Instructional Materials:
- Metal rod
- Heat source (Bunsen burner or candle)
- Ruler or measuring scale
- Clamp stand
- Chalkboard/Whiteboard
Step 1: Thermal Expansion of Solids
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Thermal expansion is the increase in size (length, area, or volume) of a solid when it is heated.
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It occurs because particles vibrate faster as temperature increases, pushing neighboring particles slightly apart.
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Example: Metal railway tracks expand in hot weather.
Activity: Heat a metal rod and measure its length before and after heating. Students observe that it becomes longer.
Step 2: Linear Expansion
- Linear expansion refers to the increase in length of a solid.
- Formula:
ΔL = α × L × ΔT
Where:
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ΔL = increase in length
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α = coefficient of linear expansion (per °C)
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L = original length
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ΔT = change in temperature
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Example: A 2 m steel rod with α = 1.2 × 10⁻⁵ /°C is heated by 50°C:
ΔL = α × L × ΔT = 1.2 × 10⁻⁵ × 2 × 50 = 0.0012 m = 1.2 mm
Activity: Students calculate linear expansion of different metals for given temperatures.
Step 3: Area Expansion
- When a solid plate is heated, its area increases.
- Formula:
ΔA = 2 × α × A × ΔT
- Example: A metal sheet of area 1 m² is heated by 50°C.
Activity: Students discuss why expansion is more significant in bridges or large metal sheets.
Step 4: Volume Expansion
- Solids also expand in volume when heated.
- Formula:
ΔV = 3 × α × V × ΔT
- Example: A cube of 0.01 m³ expands when heated by 50°C.
Activity: Students calculate the increase in volume of solids and discuss real-life implications.
Step 5: Everyday Applications of Thermal Expansion
- Gaps in railway tracks to prevent buckling in hot weather.
- Expansion joints in bridges.
- Metal lids on glass jars can be loosened by heating.
- Thermometers rely on expansion of liquids in a solid tube.
Activity: Students identify objects at home or school that show thermal expansion effects.
Summary
- Solids expand when heated due to increased particle vibration.
- Expansion can be linear, area, or volume.
- Coefficient of linear expansion (α) is used in calculations.
- Applications include railway tracks, bridges, and thermometers.
Evaluation
- Define thermal expansion of solids.
- Calculate the linear expansion of a 3 m steel rod heated by 40°C with α = 1.2 × 10⁻⁵ /°C.
- Explain why bridges have expansion joints.
Class Work
- Measure the increase in length of a metal rod heated by 30°C.
- List three real-life examples of thermal expansion in solids.
- Solve: A metal sheet of 2 m² area is heated by 50°C. Calculate the increase in area if α = 1.2 × 10⁻⁵ /°C.
Home Work
- Explain why railway tracks are laid with small gaps between them.
- Calculate volume expansion of a 0.01 m³ solid cube heated by 50°C with α = 1.2 × 10⁻⁵ /°C.
- Give three everyday examples of thermal expansion in solids.
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