First slide

Pressure in a fluid-mechanical properties of fluids

Question

Three liquids of densities d,2d and 3d are mixed in equal proportions of weights. The relative density of the mixture is

Moderate

A

$\frac{11 d}{7}$
B

$\frac{18 d}{11}$
C

$\frac{13 d}{9}$
D

$\frac{23 d}{18}$

Solution

$ρ_{mix} = \frac{3 m}{V_{1} + V_{2} + V_{3}} = \frac{3 m}{\frac{m}{d} + \frac{m}{2 d} + \frac{m}{3 d}} = \frac{3 \times 6}{11} d = \frac{18}{11} d$

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