Two miscible fluids of densities 1.2 gm/cm3 and 1.4 gm/cm3 are mixed with a proportion of their volumes equal to 3: 5. Assuming both fluids to be perfectly miscible, what is the density of resulting liquid?
Given : Density of liquid 1 = ρ1 = 1.2 gm/cm3
Density of liquid 2 = ρ2 = 1.4 gm/cm3
Let's say that the first liquid has a volume = 3v and second liquid has a volume = 5v
From above we can say that
Liquid 1 has mass = ρ1×3v and liquid 2 has mass = ρ1×5v in the mixture.
⇒So, density of resulting mixture = (1.2×3)+(1.4×5)8