Relative density bottle weighs 10g when empty, 60g when filled with water and 100g when filled with a liquid..
Find the relative density of the liquid
The relative density of a substance is the ratio of its density to the density of a reference substance, usually water.
First, we need to find the density of water. We know that the bottle weighs 10g when empty and 60g when filled with water, so the mass of water in the bottle is:
mass of water = 60g - 10g = 50g
The volume of the bottle is usually 100mL (or 100 cm³), which is the same as the volume of water it can hold. So the density of water is:
density of water = mass of water / volume of water = 50g / 100mL = 0.5 g/mL
Now, we can use the same formula to find the density of the liquid:
density of liquid = (mass of liquid - mass of empty bottle) / volume of liquid
mass of liquid = 100g - 10g = 90g (since the bottle weighs 10g when empty)
So,
density of liquid = 90g / volume of liquid
We don't know the volume of the liquid, but we can use the fact that the bottle holds 100mL (or 100 cm³) of water and assume that the volume of the liquid is also 100mL (or 100 cm³). Then,
density of liquid = 90g / 100mL = 0.9 g/mL
So the relative density of the liquid is:
relative density of liquid = density of liquid / density of water = 0.9 g/mL / 0.5 g/mL = 1.8
Therefore, the relative density of the liquid is 1.8.