To calculate the relative density of the powder and liquid, we first need to calculate the density of water.
The mass of the specific gravity bottle when filled with water is 90 g and the mass when empty is 40 g.
Density of water = (Mass when filled with water - Mass when empty) / (Volume of water)
Density of water = (90 g - 40 g) / (Volume of water)
Density of water = 50 g / (Volume of water)
Since the density of water is 1 g/cm^3, we can equate the density of water to the volume of water to find the volume of water.
50 g / (Volume of water) = 1 g/cm^3
Volume of water = 50 cm^3
Now, to find the relative density of the powder, we need to find the volume of the powder:
Volume of powder = (Mass when it contains 50 g of powder - Mass when empty) / Density of water
Volume of powder = (120 g - 40 g) / 1 g/cm^3
Volume of powder = 80 cm^3
Relative density of powder = (Mass of the powder) / (Volume of the powder)
Relative density of powder = 50 g / 80 cm^3
Relative density of powder = 0.625 g/cm^3
To find the relative density of the liquid, we need to find the volume of the liquid:
Volume of liquid = (Mass when filled with liquid - Mass when empty) / Density of water
Volume of liquid = (80 g - 40 g) / 1 g/cm^3
Volume of liquid = 40 cm^3
Relative density of liquid = (Mass of the liquid) / (Volume of the liquid)
Relative density of liquid = 50 g / 40 cm^3
Relative density of liquid = 1.25 g/cm^3
Therefore, the relative density of the powder is 0.625 g/cm^3 and the relative density of the liquid is 1.25 g/cm^3.
a specific gravity bottle of mass 40 g, mass when filled with water is 90 g, mass when filled with liquid is 80 g and mass when it contains 50 g of powder is 120 g. calculate the relative density of powder and relative density of liquid
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1 answer