Physics 2005 JAMB Past Questions - Question 46: a 3m volume of liquid W of density 200kgm is mixed with another liquid L of volume 7m and density 150kgm the density of the mixture is

Correct Answer

B

Explanation

To find the density of the mixture when liquid W and liquid L are mixed, you can use the formula for the density of a mixture:

Density of Mixture (Dm) = (Total Mass of W + Total Mass of L) / (Total Volume of W + Total Volume of L)

First, let's calculate the total mass of each liquid:

For liquid W:
Volume of W (Vw) = 3 m³
Density of W (Dw) = 200 kg/m³

Total Mass of W (Mw) = Vw * Dw = 3 m³ * 200 kg/m³ = 600 kg

For liquid L:
Volume of L (Vl) = 7 m³
Density of L (Dl) = 150 kg/m³

Total Mass of L (Ml) = Vl * Dl = 7 m³ * 150 kg/m³ = 1050 kg

Now, we can calculate the total mass and total volume of the mixture:

Total Mass of Mixture (Mm) = Mw + Ml = 600 kg + 1050 kg = 1650 kg
Total Volume of Mixture (Vm) = Vw + Vl = 3 m³ + 7 m³ = 10 m³

Now, you can calculate the density of the mixture:

Density of Mixture (Dm) = Mm / Vm = 1650 kg / 10 m³ = 165 kg/m³

So, the density of the mixture when liquid W and liquid L are mixed is 165 kg/m³.