An empty relative density bottle has a mass of 35g. When filled with water it's mass becomes 85
Calculate
i) the mass of the water
ii) volume of the bottle (take density of the water to be 1g/cm³)
To calculate the mass of the water in the filled bottle, we need to find the difference in mass between the filled bottle and the empty bottle.
i) Mass of water = Mass of filled bottle - Mass of empty bottle
= 85g - 35g
= 50g
So, the mass of the water in the filled bottle is 50g.
Now, let's move on to calculating the volume of the bottle.
ii) The density of water is given as 1g/cm³. Density is defined as mass divided by volume:
Density = Mass / Volume
In this case, we know the mass of the water (50g) and want to find the volume of the bottle. Rearranging the equation, we get:
Volume = Mass / Density
Volume = 50g / 1g/cm³
Since the units don't match, we need to convert grams to cubic centimeters (cm³).
We know that 1g of water is equal to 1cm³. So,
Volume = 50g / 1g/cm³ = 50 cm³
Therefore, the volume of the bottle is 50 cm³.