# Density bottle

the density bottle (v. griech.: πυκνός =) a measuring instrument is closely pushed for the determination of the density of solids or liquids.

The measurement principle is based on the displacement of the liquid in the container. Only the empty becomes and/or. the container filled with liquid weighedand then the body into the container, which can be measured, given.

From the differences in weight the density of the body computes itself:

Is

• [itex] m_0< /math> the mass of the empty density bottle,
• [itex] m_1< /math> the mass of the density bottle filled with water,
• [itex] m_2< /math> the mass of the density bottle with the solid body,
• < math> m_3< /math> the massthe density bottle with the solid body, filled up with water,
• [itex] \ rho_W< /math> the density of the water,

then results the density of the solid body too

< math> \ rho_F = \ frac {(m_2-m_0)}{(m_1-m_0) - (m_3-m_2)} \ cdot \ rho_W \ mbox {.}[/itex]

To the density determination of liquids applies:

Is

• [itex] m_0< /math> the mass of the empty density bottle,
• < math> m_1< /math> the mass of thewith water of filled density bottle,
• [itex] m_2< /math> the mass of the density bottle, filled with the liquid which can be examined,
• [itex] \ rho_W< /math> the density of the water,

then results the density of the liquid too

< math> \ rho_ {flat steel bar} = \ frac {m_2-m_0} {m_1-m_0} \ cdot \ rho_W \ mbox {.}[/itex]