A 3m3 volume of liquid W of density 200kgm3 is mixed with another liquid L of volume 7m3 and density 150kgm-3. the density of mixture is?
Answer Details
To determine the density of the mixture, we need to use the formula:
density = mass/volume
We can start by calculating the total mass of the two liquids, which is the sum of the masses of liquid W and liquid L:
mass = density x volume
For liquid W, mass = 200 kg/m^3 x 3 m^3 = 600 kg
For liquid L, mass = 150 kg/m^3 x 7 m^3 = 1050 kg
Total mass = 600 kg + 1050 kg = 1650 kg
Next, we can find the total volume of the mixture by adding the volumes of the two liquids:
total volume = 3 m^3 + 7 m^3 = 10 m^3
Now we can use the formula for density:
density = mass/volume
density of mixture = 1650 kg/10 m^3 = 165 kg/m^3
Therefore, the answer is option A: 165 kg/m^3.