An empty density bottle weight 20g full of water and 60g when full of liquid
To find the density of a substance, we can use the formula:
Density = mass / volume
In this case, the volume of the density bottle remains constant, as it is empty or filled to the same level. Therefore, we can compare the masses of the bottle filled with different substances to find their relative densities.
Here, we have two cases:
Case 1: Density bottle filled with water
Mass of the density bottle when empty = 20g
Mass of the density bottle when filled with water = 60g
To find the mass of water in the bottle, we subtract the mass of the empty bottle from the mass of the filled bottle:
Mass of water = Mass of filled bottle - Mass of empty bottle = 60g - 20g = 40g
So, the mass of water is 40g.
Case 2: Density bottle filled with an unknown liquid
Mass of the density bottle when empty = 20g
Mass of the density bottle when filled with the unknown liquid = 60g
To find the mass of the unknown liquid in the bottle, we subtract the mass of the empty bottle from the mass of the filled bottle:
Mass of unknown liquid = Mass of filled bottle - Mass of empty bottle = 60g - 20g = 40g
So, the mass of the unknown liquid is 40g.
Now, we can calculate the densities of water and the unknown liquid using the formula:
Density = mass / volume
Since the volume of the density bottle remains constant and we are comparing the densities of both substances using the same volume, we can ignore the volume and compare the masses directly.
Density of water = Mass of water / Volume of water = 40g / Volume of water
Density of unknown liquid = Mass of unknown liquid / Volume of unknown liquid = 40g / Volume of unknown liquid
Comparing both densities, we see that the density of water is equal to the density of the unknown liquid since they both have a mass of 40g in the same volume.
Therefore, the density of the unknown liquid is the same as that of water.