An empty relative density bottle has a mass of 30g. When filled with paraffin,its mass is 70g. Calculate the mass of the bottle when it is filled with water.
(relative density of paraffin=0.8)
70 -30 = 40g = Wt. of paraffin.
V = 40g/(0.8g/cm^3) = 50cm^3 = Vol. of bottle.
Mass = 30 + (50cm^3*1g/cm^3) = 80g When filled with water.
How can we determine a relative density of an object
I don't know
To determine the relative density of an object, follow these steps:
1. Find the object's mass using a weighing scale.
2. Find the object's volume using a suitable method. This can be done by measuring its dimensions and using an appropriate formula or by submerging it in water and measuring the volume of water displaced.
3. Divide the object's mass by its volume to get its density.
4. Compare the object's density to the density of a reference substance or material, which is typically water for solids and liquids. This will give you the relative density (also called specific gravity) of the object.
Relative Density = Density of Object/Density of Reference Substance
Note that relative density is a dimensionless quantity and has no units.
To calculate the mass of the bottle when it is filled with water, we need to use the concept of relative density.
Relative density, also known as specific gravity, is the ratio of the density of a substance to the density of a reference substance. In this case, the reference substance is water.
Given that the relative density of paraffin is 0.8, we can conclude that the density of paraffin is 0.8 times the density of water.
Let's proceed with the calculation:
1. Find the volume of paraffin in the bottle:
To do this, we need to subtract the mass of the empty bottle from the mass of the bottle filled with paraffin.
Volume of paraffin = Mass of paraffin / Relative density of paraffin
= (70g - 30g) / 0.8
= 40g / 0.8
= 50ml
2. Find the volume of water that can fill the bottle:
Since relative density is a ratio of densities, it is also equal to the ratio of volumes. Therefore, the volume of water that can fill the bottle will be the same as the volume of paraffin, which is 50ml.
3. Find the mass of water that can fill the bottle:
Since the density of water is 1g/ml, the mass of water that can fill the bottle is equal to its volume.
Mass of water = Volume of water
= 50ml
= 50g
So, the mass of the bottle when it is filled with water is 50g.