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Density practical: solids and liquids

Measure mass and volume, process displacement readings and explain errors in density measurements.

Practise the calculations · Print a classroom set

Apparatus and measurements

Use a balance for mass. A ruler or calipers can measure the dimensions of a regular block. An irregular, non-porous solid needs a displacement measurement; a liquid needs a measured volume and its own mass.

Cylinder: before / afterBlock: three dimensions
Measure displacement for an irregular solid or three perpendicular dimensions for a rectangular block.
Larger apparatus diagram
Cylinder: before / afterBlock: three dimensions

Method and controls

  1. Zero the balance and record the mass of a dry solid. For a rectangular block, measure three perpendicular dimensions and multiply them. Repeat dimension measurements at several positions if the faces are uneven.
  2. For a solid that sinks and does not dissolve, record the initial water volume, lower the solid until it is fully submerged and record the final volume. Read the bottom of the meniscus at eye level. Remove trapped air bubbles.
  3. For a liquid, weigh the dry empty cylinder, then weigh it with a measured volume of liquid. Subtract the empty-cylinder mass. Use mass and volume units that match the requested density unit.

Results to analyse

Original synthetic data for practice.

Density practical: solids and liquids: sample readings
MeasurementReading
Dry solid mass / g156
Initial water volume / cm³35
Final water volume / cm³55
Empty cylinder mass / g42
Cylinder + liquid mass / g90
Liquid volume / cm³60

Questions

  1. Calculate the solid’s volume and density in g cm⁻³, then convert the density to kg m⁻³.
  2. Calculate the liquid density. Why must the container mass be subtracted?
  3. An air bubble remains attached to the submerged solid. Explain the likely effect on the calculated density.
Show worked answers
  1. Solid volume = 55 − 35 = 20 cm³. Density = 156/20 = 7.80 g cm⁻³ = 7800 kg m⁻³.
  2. Liquid mass = 90 − 42 = 48 g; density = 48/60 = 0.800 g cm⁻³. The container contributes mass but is outside the measured liquid volume.
  3. The bubble increases the apparent displaced volume. The mass is unchanged, so dividing by the larger volume gives a density that is too low.

Evaluation

A wider cylinder has larger volume increments; use a cylinder with appropriate resolution for the displacement. A small displacement found by subtracting two readings can have a large relative uncertainty.

An absorbent, soluble or floating sample needs a different method. Do not claim that the simple sinking-solid method works for every material. Keep the balance dry and avoid dropping a solid into glassware.

Specification links

AQA 8463: Required practical 5; 4.3.1.1. OCR Gateway J249: P1.1d–f; PAG P1 (selected). Selected skills only; no practical-completion assessment.

AQA practical requirements · OCR Gateway specification

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