Question

Urgenta!!! Se amesteca mase egale din trei lichide diferite , avand densitatile : 800kg/m³, 900kg/m³ si 1000kg/m³. Calculeaza densitatea amestecului. Ce masa are un volum de 3L din acest amestec?

Answer 1

Se da:
p1=800kg/m³
p2=900kg/m³
p3=1000kg/m³
m1=m2=m3
V=3l=0,003m³
p=?kg/m3
m=?kg

Formule:
[tex]p= \frac{m}{V}\\ p= \frac{m1+m2+m3}{V1+V2+V3}\\ p= 3*m1/( \frac{m1}{p1}+\frac{m2}{p2}+\frac{m3}{p3})\\ p=3*m1/( \frac{p2m1+p1m2}{p1p2}+ \frac{m3}{p3})\\ p=3*m1/( \frac{p3p2m1+p3p1m2+p1p2m3}{p1p2p3})\\ p=3*m1/( \frac{m1(p3p2+p3p1+p1p2)}{p1p2p3})\\ p= \frac{3*m1*p1p2p3}{ m1(p3p2+p3p1+p1p2) } \\ p= \frac{3*p1p2p3}{p3p2+p3p1+p1p2}\\ m=pV\\ Calcule:\\ p= \frac{3*800*900*1000}{1000*900+1000*800+800*900}=892,56kg/m^{3}\\ m=892,56*0,003=2,67768kg[/tex]