Final answer:
The density of a mixture of liquids with equal masses but different individual densities can't be found by simply adding the densities; instead, it involves using the formula of density and calculating the total volume and mass of the mixture after combining the two liquids.
Step-by-step explanation:
The question refers to the density measurement of a mixture composed of two liquids with densities d₁ and d₂ mixed in equal masses. Density is defined by the formula d = m/V, where m is the mass and V is the volume. To find the density of the mixture, we cannot simply add the densities together because the resulting mixture's volume will be the sum of both individual volumes, and density is an intensive property, not an additive one.
Assuming we have two liquids of equal masses m, we know that the volume of each liquid before mixing can be found by V = m/d. Therefore, the total volume V₁ for density d₁ and V₂ for density d₂ will be V₁ = m/d₁ and V₂ = m/d₂ respectively. After combining both liquids, the total volume Vₙ is V₁ + V₂ = m/d₁ + m/d₂. Now, the total mass of the mixture is 2m (since both liquids had mass m). Thus, the density of the mixture D is 2m/Vₙ.
However, for the final expression of density, we must manipulate the terms m/d₁ + m/d₂ to find the common denominator and then combine them under a single fraction to calculate D. The resulting formula for density will not be a simple addition of d₁ + d₂, but a more complex expression that considers the relations between the masses and volumes of both liquids.