Relative Density

hydrometers

๐Ÿ”น Real-Life Example

Jewellers use relative density (RD) to test gold purity. Pure gold has RD = 19.3, while 18-karat gold has lower RD due to other metals mixed in. Similarly, alcoholic beverages are tested using hydrometers that measure relative density โ€” higher alcohol content means lower relative density.

hydrometers

๐Ÿ”น Relative Density: The ratio of the density of a substance to the density of water at 4ยฐC.

๐Ÿ”ธ Mathematical Formula

RD = Density of substance / Density of water
RD = ฯsubstance / ฯwater

๐Ÿ”น Key Properties

  • No unit: RD is a dimensionless quantity
  • Reference: Water at 4ยฐC is the standard reference
  • Numerical value: RD is equal to density in g/cmยณ (if waterโ€™s density = 1 g/cmยณ)

๐Ÿ”น Applications of Relative Density

  • Purity checking: Gold, silver, and precious stones
  • Quality control: Milk, honey, petroleum products
  • Battery testing: Measures specific gravity of battery acid
  • Brewing: Measures alcohol content in beverages
Brewing

๐Ÿ” Advanced: Purity Checking Example

  • Pure gold: RD = 19.3
  • 18-karat gold: RD โ‰ˆ 15.5
  • 14-karat gold: RD โ‰ˆ 13.0

Lower RD indicates more impurities or different alloy composition.

๐Ÿ”น Sample Values

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