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Charles's Law Graph Analysis

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Charles's Law Graph Analysis

Graph showing relationship between gas volume and temperature

🎯 WALT (We Are Learning To)

We are learning to:

• Interpret Charles's Law graphs showing the relationship between gas volume and temperature

• Calculate unknown values using Charles's Law equation: V₁/T₁ = V₂/T₂

• Convert between Celsius and Kelvin temperature scales

📊 Study the Graph

The graph shows the volume of a gas sample at different temperatures (at constant pressure).

Graph Data Points:

• At 27°C: Volume = 150 mL

• At 127°C: Volume = 200 mL

• At 227°C: Volume = 250 mL

📚 Part 1: Graph Interpretation

1. What type of relationship exists between gas volume and temperature?

Inverse relationship (as temperature increases, volume decreases)

Direct relationship (as temperature increases, volume increases)

No relationship

2. If you extended the graph line backwards, at what temperature would the gas volume theoretically reach zero?

0°C

-273°C

-100°C

3. Which gas law does this graph demonstrate?
4. State the mathematical equation for this gas law:

🧮 Part 2: Calculations

5. Scaffolded Calculation: A gas sample has a volume of 150 mL at 27°C. What will its volume be at 127°C?

Step 1: Convert temperatures to Kelvin

T₁ = 27°C + 273 = _______ K

T₂ = 127°C + 273 = _______ K

Step 2: Identify known values

V₁ = _______ mL

V₂ = ? (unknown)

Step 3: Apply Charles's Law equation

Step 4: Final answer: V₂ = _______ mL

6. Extension Challenge: Using the graph data, predict the volume of the gas at 77°C. Show your working.
7. Real-world Application: Explain why hot air balloons rise when the air inside is heated.

✅ Success Criteria

I can demonstrate success by:

Correctly identifying the direct relationship between volume and temperature

Converting Celsius to Kelvin accurately

Using Charles's Law equation to solve problems

Explaining real-world applications of Charles's Law

🌟 Differentiation Support

Need extra help? Remember: Always convert to Kelvin first, then substitute values into V₁/T₁ = V₂/T₂

Advanced learners: Research how Charles's Law applies to weather balloons at different altitudes.

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