Chapter 3, Problem 3.34P

Interpretation Introduction

Interpretation:

The correct formula to estimate the density of the mixture should be determined and the density of the liquid mixture should be calculated.

Concept introduction:

It is given that a liquid mixture is prepared by mixing N different liquids. The properties of the mixture are given as follows,

The densities of different liquids are ρ₁ , ρ₂ , ρ₃ …….. ρ_N.

The volume of the component i added to the mixture is Vi

The mass fraction of the i^th component is xi

It is assumed that components are completely miscible.

The following two formulas are given to estimate the density of the mixture.

Equation 1:

${\rho }_{mix}=\sum _{i=1}^n{X}_i{\rho }_i$

Equation 2:

$\frac{1}{\rho {}_{mix}}=\sum _{i=1}^n\frac{x_i}{{\rho }_i}$

Where $\rho {}_{mix}$ is the density of the mixture.