The mass of an empty density bottle is , it is when filled completely with water and when filled completely with a liquid. Find: a) volume of density bottle b) density of liquid and c) relative density of liquid
Step 1: Given data
The mass of the density bottle:
The mass of the bottle completely filled with water:
The mass of the bottle completely filled with liquid:
Step 2: Finding the volume of the bottle
We already know that the density of water is . Let the mass of the water filled in the bottle be .
⇒
⇒
Formula:
The volume of the density bottle
⇒ volume of the density bottle is
The volume of the density bottle is .
Step 3: Finding the density of the liquid
Let the density of the liquid be . The volume occupied by water and liquid is the same.
Let the mass of the liquid be
⇒
⇒
Now we know the masses of both liquid and water
⇒
⇒
⇒
Then the density of the liquid is .
Step 4: Finding the relative density
The relative density of the liquid is given by the formula:
⇒ The relative density of the liquid is .
The relative density of the liquid is .