For each of the following cases, state whether the density of the object increases, decreases, or remains the same:
(c) A sample of water is frozen.



Answer :

Density of frozen water decreases.

Density (d) - It is defined as mass of substance (M) divided by its volume (V). Thus,

[tex]d = \frac{M}{V}[/tex]

How is the density of a substance changes if both mass of the substance and volume occupied is doubled?

  • As per the definition of density, it is directly proportional to the mass of substance and inversely proportional to the volume of substance.
  • Therefore, when both mass and volume is doubled, then new density (d') becomes-

[tex]d' =\frac{2M}{2V} = \frac{M}{V} = d[/tex]

  • Hence, the density remains the same.
  • Now, when a sample of water is frozen , then its volume increase as ice occupies more volume than same amount of water.
  • As volume of frozen water increases, thus, density of frozen water decreases.

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