The densities of three liquids are D, 2D and 3D. What will be the density of the resulting mixture if equal volumes of the three liquids are mixed?

Density is defined as the mass of a substance per unit volume [1]. When multiple liquids are mixed, the resulting density of the mixture is calculated by dividing the total mass by the total volume. If equal volumes (V) of three liquids with densities D, 2D, and 3D are mixed, the mass of each liquid is calculated as mass = density × volume [1]. Thus, the masses are DV, 2DV, and 3DV respectively. The total mass of the mixture is the sum of these individual masses (DV + 2DV + 3DV = 6DV), and the total volume is the sum of the individual volumes (V + V + V = 3V). The resulting mixture density is the total mass divided by the total volume: 6DV / 3V = 2D [1]. This result is equivalent to the arithmetic mean of the individual densities when volumes are equal [1].

Sources

1. [1] Science ,Class VIII . NCERT(Revised ed 2025) > Chapter 9: The Amazing World of Solutes, Solvents, and Solutions > How do scientists define density? > p. 140