User manual
8    PBS-A03/A04-BA-e-1213 
ρ = 
A
A-B
o
ρ 
ρ = 
m
V
3  Principle of Density Determination 
Three physical magnitudes are the volume and the mass of bodies as well as the 
density of matter. In density mass and volume are related. 
Density [ ρ ] is the relation of mass [ m ] to volume [ V ]. 
SI-unit of density is kilogram divided by cubic meter (kg/m³). 1 kg/m³ equals the density of 
a homogenous body that, for a mass of 1 kg, has the volume of 1 m³. 
Additional frequently applied units include: 
1
g
cm
3
, 
1
kg
m
3
, 
1
g
l
The application of this density determination set in combination with the KERN PBS/PBJ 
balances provides fast and safe determination of solids and fluids.  Our set uses the 
"Principle of Archimedes" to determine density: 
BUOYANCY IS A FORCE. IT AFFECTS A BODY THAT IS IMMERSED INTO A FLUID. THE BUOYANCY 
OF THE BODY EQUALS THE WEIGHT FORCE OF THE DISPLACED FLUID. THE FORCE OF 
BUOYANCY ACTS VERTICALLY UPWARDS. 
Thus, density is calculated according to the formulae below: 
Determining density of solid bodies 
Our balances enable weighing of solids in air [ A ] as well as water [ B ]. If the density of 
the buoyancy medium is known [ ρ
o 
] the density of the solid [ ρ ] is calculated as follows: 
ρ  = density of sample 
A  = weight of the sample in air 
B  = weight of sample in measuring fluid 
ρ
o 
= density of measuring fluid 










