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Question

Find the densities of these substances from the given data. The make a list of the substances that will float on a. water, b. kerosene, c, mercury.
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Solution

According to the figure given and the formula Density = Mass / Volume,
we can find the following.

The density of water = 7 g / 7 ml
= 1 g/ml
= 1 g/cm3

The density of iron = 39.5 g / 5 cm3
= 7.9 g/cm3

The density of glass = 10 g / 4 cm3
= 2.5 g/cm3

The density of ice = 4.5 g / 5 cm3
= 0.9 g/cm3

The density of aluminium = 21.6 g / 8 cm3
= 4.32 g/cm3

The density of cork = 4 g / 10 cm3
= 0.4 g/cm3

The density of mercury = 40.5 g / 3 ml
= 13.5 g/ml = 13.5 g/cm3

The density of kerosene = 7 g / 10 ml
= 0.7 g/ml = 0.7 g/cm3

We know that if the density of a small substance is less than the density of a liquid, then it floats on the liquid. If not, it sinks in the liquid.
So, the substances that will float on water are ice and cork.
The substances that will float on kerosene are ice and cork.
The substances that will float on mercury are iron, glass, ice, aluminium and cork.


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