Answer:
The density of the liquid = 1448.78 kg/m³
Step-by-step explanation:
Density: This can be defined as the ratio of mass of a body to the volume of that body. The S.I unit of density is kg/m³.
From Archimedes principle
R.d = weight in air/upthrust = density of aluminium/density of liquid
W/U= D₁/D₂....................................... Equation 1
making D₂ the subject of the equation
D₂ = D₁(U)/W.................... Equation 2
Where W = Weight of aluminum in air, U = upthrust, D₁ = Density of aluminum, D₂ = Density of liquid
Given: W = mg = 4.1×9.8= 40.18 N, U = Lost in weight = 9.8(4.1-1.9)
U = 21.56 N, D₁ = 2.7 g/cm³ = 2700 kg/m³
Substituting into equation 2
D₂ = 2700(21.56)/40.18
D₂ = 1448.78 kg/m³
Thus the density of the liquid = 1448.78 kg/m³