Density And Relative Density
Relative Density
Relative Density: The relative density of a substance is the ratio of its density to that of water.
Relative density of a substance =
In other words, we can say that,
Relative density of a substace
Since, the relative density is a ratio of similar quantities, so it has no unit.
The relative density of a substance expresses the heaviness (or density) of the substance in comparison to water. By saying that relative density of iron is 8.7, we mean that iron is 8.7 times heavy as an equal volume of water.
Note Density of water is
The relative density of a substance is found accurately by using Archimedes principle.
Example: A solid of mass 600 g has volume . Then,
Solution: Given, mass of solid, m = 600 g
Volume of solid,
(i) Density of solid
Therefore, density of solid =
(ii) The solid will displace water equal to its own volume, which is . So, it will displace
of water.
Density of water is . Hence, from the formula,
i.e.
= 450 g
Therefore, the mass of water displaced is 450 g.
(iii)
Therefore, the relative density of solid is 1.33.
(iV) Since, the relative density of this solid (1.33) is greater than that of water (1), therefore this solid is heavier than water and hence it will sink in water.
If a sample of metal weight 210 g in air, 180 g in water, 120 g in a liquid: | |||
| Right Option : A | |||
| View Explanation | |||
The volume of a solid of mass 500 gms is 350 cm3. What will be the relative density of the solid? | |||
| Right Option : B | |||
| View Explanation | |||
The relative density of a substance is the ratio of its density to that of _______________________. | |||
| Right Option : B | |||
| View Explanation | |||
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