Equal masses of water and a liquid of density 2 are mixed together, then the mixture has a density of:

To solve this problem, we need to use the formula for the density of a mixture, which is the total mass of the mixture divided by the total volume of the mixture.

Step 1: Define the given quantities. Let's assume the mass of water and the liquid to be 'm' each. The density of water is 1 (in appropriate units), and the density of the liquid is given as 2.

Step 2: Calculate the volumes. The volume of each substance can be found by dividing the mass by the density. So, the volume of water is m/1 = m, and the volume of the liquid is m/2.

Step 3: Calculate the total mass and total volume. The total mass of the mixture is m (from water) + m (from the liquid) = 2m. The total volume is m (from water) + m/2 (from the liquid) = 1.5m.

Step 4: Calculate the density of the mixture. The density of the mixture is the total mass divided by the total volume, which is (2m) / (1.5m) = 4/3 or 1.33 (in the same units as the given densities).

So, the density of the mixture of equal masses of water and a liquid of density 2 is 1.33.