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Q.

What is The Density of Mercury? Convert It into SI Units

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Detailed Solution

The density of mercury is commonly given as 13.6 grams per cubic centimeter (g/cm³) in the CGS (centimeter-gram-second) system. To convert this value into SI units (kilograms per cubic meter, kg/m³), follow these steps:

Step-by-Step Conversion

  1. Convert Grams to Kilograms:
    • 1 gram (g) = 0.001 kilograms (kg)
    • So, 13.6 g = 13.6 × 0.001 kg = 0.0136 kg
  2. Convert Cubic Centimeters to Cubic Meters:
    • 1 centimeter (cm) = 0.01 meters (m)
    • 1 cm³ = (0.01 m)³ = 0.000001 m³ = 1 × 10⁻⁶ m³
  3. Combine the Conversions:
    • Density in SI units = (0.0136 kg) / (1 × 10⁻⁶ m³)
    • = 13,600 kg/m³
SystemValueUnit
CGS13.6g/cm³
SI13,600kg/m³

Final Answer: The density of mercury in SI units is 13,600 kg/m³.

Significance

  • Comparison: Mercury is much denser than water (1,000 kg/m³), which is why objects that float in water may sink in mercury.
  • Application: Knowing the density in SI units is essential for scientific calculations, engineering applications, and laboratory measurements.

 

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