Average Density Calculator

Formula

The formula to calculate the Average Density (D) is:

\[ D = \frac{D1 \cdot V1 + D2 \cdot V2 + D3 \cdot V3}{V1 + V2 + V3} \]

Where:

\(D\) is the average density
\(D1, D2, D3\) are the densities of the individual substances
\(V1, V2, V3\) are the volumes of each substance in the mixture

Average Density Definition

An average density is defined as the total mass per unit of volume of a mixture of 2 or more substances. In the case of the formula above, this is for a mixture with different quantities of each compound.

Example Calculation

Let's assume the following values:

Density of Substance 1 (D1) = 2.5 g/cm³
Volume of Substance 1 (V1) = 100 cm³
Density of Substance 2 (D2) = 1.5 g/cm³
Volume of Substance 2 (V2) = 200 cm³
Density of Substance 3 (D3) = 3.0 g/cm³
Volume of Substance 3 (V3) = 50 cm³

Using the formula:

\[ D = \frac{2.5 \cdot 100 + 1.5 \cdot 200 + 3.0 \cdot 50}{100 + 200 + 50} = \frac{250 + 300 + 150}{350} = \frac{700}{350} = 2.00 \text{ g/cm³} \]

The Average Density (D) is 2.00 g/cm³.