Appendix - Sartorius YDK04 Instrucciones De Funcionamiento

Appendix

Togainabetterunderstandingofthe
process,thetheorybehindtheformulas
andthecorrectionfactorisexplainedhere�
Basic Principles
 Mass(g)
Density=
 Volume(cm
TheArchimedes'principlestates:
Anobjectimmersedinliquidwillbe
subjecttoabuoyantforce(G)�Thisforceis
equaltotheweightoftheliquiddisplaced
bytheobject�
ThevolumeoftheimmersedobjectV(k)is
equaltothevolumeofthedisplaced
liquidV(fl)�
Thefollowingaredetermined:
1� WeightinairW(a)
2�  B uoyancyoftheobjectintheliquid(G)
Thedensityofanobjectis:
 massofobject
=
ρ=
 volumeofobject
Ifthedensityρ(fl)ofthedisplacedliquid
isknown:
 Mass(fl)
V(fl)= =

ρ(fl)
Thus:
 W(a)∙ρ(fl)
ρ=
 G
3
)
W(a) W(a)
=
V(s) V(fl)
G
ρ(fl)
Calculation
Thedensityofasolidobjectiscalculated
basedontheratio
ρ:W(a)=ρ(fl):W(a)–W(fl)
Thus:
 W(a)∙ρ(fl)
ρ=
 W(a)–W(fl)
W(a)–W(fl)=G=buoyancyofthesample
Where:
=thedensityofthesolidobject
ρ
ρ(fl) =thedensityoftheliquid
W(a) = t heweightofthesolidobject
inair
W(fl) = t heweightofthesolidobject
inliquid
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