Answer:
The density of the liquid = <em>1448.78 kg/m³</em>
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
<em>Given: W = mg = 4.1×9.8= 40.18 N, U = Lost in weight = 9.8(4.1-1.9)</em>
<em>U = 21.56 N, D₁ = 2.7 g/cm³ = 2700 kg/m³</em>
<em>Substituting into equation 2</em>
<em>D₂ = 2700(21.56)/40.18</em>
<em>D₂ = 1448.78 kg/m³</em>
<em>Thus the density of the liquid = 1448.78 kg/m³</em>