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Overview

Density: Mass and Volume

January 15, 2025
1 min read

What is Density?

Density is a measure of how “packed” matter is in an object. It is defined as mass per unit volume.

Density(ρ)=Mass (m)Volume (V)\text{Density} (\rho) = \frac{\text{Mass } (m)}{\text{Volume } (V)}
  • SI Unit: kg/m3kg/m^3
  • Common Unit: g/cm3g/cm^3 or g/mLg/mL

Measuring Density

To find the density of an irregular stone:

  1. Find Mass (mm): Weigh it on a digital balance.
  2. Find Volume (VV): Use the water displacement method in a measuring cylinder.
    • V=Final Water LevelInitial Water LevelV = \text{Final Water Level} - \text{Initial Water Level}.
  3. Calculate: Divide Mass by Volume.
Tip

Example:

  • Mass of stone = 50 g
  • Volume of stone = 20 cm³
  • Density = 50/20=2.5 g/cm350 / 20 = 2.5 \text{ g/cm}^3

Factors Affecting Density

  1. Temperature: generally, heating causes expansion (Volume increases), so Density decreases.
    • Hot air rises because it is less dense than cold air.
  2. Pressure: High pressure compresses gases (Volume decreases), so Density increases.