A 50 mL pycnometer is found to weigh 120 g when empty, 171 g when filled with water, and 160 g when filled with an unknown liquid. Calculate the…

JAMB Physics 2024 278 views
Source: JAMB · 2024

A 50 mL pycnometer is found to weigh 120 g when empty, 171 g when filled with water, and 160 g when filled with an unknown liquid. Calculate the relative density of the unknown liquid.

  1. 1.28
  2. 0.94
  3. 0.78 ✓
  4. 1.07
Explanation

Mass of water = 171 − 120 = 51 g. Mass of unknown liquid = 160 − 120 = 40 g. Both fill the same 50 mL bottle.

Relative density = mass of liquid ÷ mass of equal volume of water = 40 ÷ 51 ≈ 0.78. This is less than 1, so the liquid is lighter than water.

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