The density of a material is constant and it is given by the ratio of the mass to the volume of the material
The mass of the liquid and the full bottle ae
The mass of the liquid is 450 g
The mass of the filled bottle is 530 grams
The reason the above values are correct are as follows:
The given parameters are;
Volume of the bottle, V = Half litre
Mass of the bottle, [tex]m_b[/tex] = 80 g
The volume of liquid in the bottle when filled, V = 500 cm³
The density of the olive oil with which the bottle is filled, ρ = 0.9 g/cm³
a. Required:
To calculate the mass of oil in the bottle
Solution:
The volume of oil in the bottle when the bottle is filled, V = 500 cm³
[tex]Density, \ \rho = \dfrac{Mass}{Volume} = \dfrac{m}{V}[/tex]
The mass of the liquid, m = ρ × V
∴ m = 0.9 g/cm³ × 500 cm³ = 450 g
The mass of the liquid, m = 450 g
b. The mass of the oil in the bottle, m = grams
The mass of the full bottle, [tex]m_{filled}[/tex] = m + [tex]m_b[/tex]
∴ [tex]m_{filled}[/tex] = 450 g + 80 g = 530 g
The mass of the full bottle, [tex]m_{filled}[/tex] = 530 grams
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