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Understanding Density: Definitions, Calculations, Examples, and Applications

Explore the concept of density, its definition, calculation methods, examples, and practical applications. Learn how to calculate weight, mass, and volume using density formulas. Dive into density experiments and practical density-related scenarios.

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Understanding Density: Definitions, Calculations, Examples, and Applications

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  1. 2.2 MaterialsMaterials Breithaupt pages 162 to 171

  2. AQA AS Specification

  3. 11. 1 Density The density of a substance is defined as its mass per unit volume. Density ρ ( rho) = mass (kg) volume ( m3 ) The unit for density is the kilogram per cubic metre kg / m3 Note: 1 g cm-3 is the same as 1000 kg m-3

  4. Question Calculate the weight of a gold ingot of dimensions (20 x 10 x 4) cm volume of gold = 800 cm3[ 20x10 - 2 x 10x10 - 2 x 4x10 - 2 ] = 800 x10 - 6 m3 mass = volume x density = 800 x10 - 6 x 19 300 = 15.4 kg weight = 15.4 x 9.81 N weight of gold ingot = 152 N

  5. 11. 1 Density

  6. Density examples 7 900 10-25 to 10-15 0.0989 11 300 13 500 0.179 19 100 1.29 19 300 700 osmium 22 610 0.534 150 000 1000 1017 850to1400 2 700 > 4 x 1017

  7. Answers Complete: 6 g cm-3 1.5 m3 64 g 3 g cm-3

  8. 11. 1 Density Density ρ = mass (kg) volume ( m3) r = 0.05m h = 0.15m Density of Gold = 19.3 kg / m3 Volume of sphere = 4/3 π r3 If r = 2 cm calculate the mass of gold. Mass of Aluminium = 3.18 kg Volume of cylinder = π r2h Calculate the density of aluminium.

  9. 11. 1 Density Density ρ = mass (kg) volume ( m3) Hint: first work out the masses of each metal present

  10. Internet Links • Balloons & Bouyancy- PhET - Experiment with a helium balloon, a hot air balloon, or a rigid sphere filled with different gases. Discover what makes some balloons float and others sink. • Density Lab - Explore Science • Floating Log- Explore Science .

  11. Notes on Densityfrom Breithaupt pages 162 & 163 • Define what is meant by density, include the equation. • Calculate (a) the volume of copper that has a mass of 178 kg; (b) the mass of 14.4m3 of air; (c) the density of a solid of mass 2000kg and volume 3m3. • State the density of (a) a metallic solid; (b) water & (c) air • (a) Explain why a density of 1000 kgm-3 is the same as one of 1 g cm-3. (b) What is the density of water in g mm-3? • Explain how to measure the density of (a) a regular solid; (b) a liquid and (c) an irregular solid. • Try the Summary Questions on page 163

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