A relative density bottle has a mass of 40g when empty, 90g when filled with water and 80g when filled with oil. Calculate the relative density of the oil.

An empty relative density bottle weighs 40g. the bottle weighs 80g when filled with methylated spirit and 90g when filled with water. find the density of methylated spirit (density of water is 1000kg m³)

mass of empty bottle equals 40g

filled with water equals 90g
filled with oil equals 80g
90-40
50

80-40
40
R.D
40/50
0.8 density of the oil
Remember relative density has no unit

56 Correct

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To calculate the relative density of the oil, we need to compare the density of the oil to the density of water.

First, let's find the density of the water using the mass of the relative density bottle when filled with water. The mass of the water is the difference between the full bottle and the empty bottle.

Mass of water = Mass of filled bottle - Mass of empty bottle
= 90g - 40g
= 50g

Since the density of water is well-known to be 1 g/cm³, we can now calculate the volume of water in the bottle by dividing the mass of water by the density of water:

Volume of water = mass of water / density of water
= 50g / 1 g/cm³
= 50 cm³

Next, let's find the density of the oil using the mass of the relative density bottle when filled with oil. The mass of the oil is the difference between the full bottle and the empty bottle.

Mass of oil = Mass of filled bottle - Mass of empty bottle
= 80g - 40g
= 40g

Now, we can calculate the relative density of the oil by comparing the density of oil to the density of water:

Relative density of oil = density of oil / density of water
= (mass of oil / volume of oil) / (mass of water / volume of water)
= (40g / 50 cm³) / (50g / 50 cm³)
= (40g / 50g)
= 0.8

Therefore, the relative density of the oil is 0.8.