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Se amesteca volume egale din lichide diferite .,de densitati densitatea 1 si densiatatea 2.Ce densitate are amestecul?

Răspuns :

[tex]\displaystyle \\ V=V_1+V_2 \\ \\ V_1=V_2=\frac{V}{2} \\ \\ m=m_1+m_2 \\ \\ m_1=V_1\rho_1=\frac{V\rho_1}{2} \\ \\ m_2=V_2\rho_2=\frac{V\rho_2}{2} \\ \\ \rho=\frac{m}{V}=\frac{\frac{V\rho_1}{2}+\frac{V\rho_2}{2}}{V}=\frac{V(\rho_1+\rho_2)}{2V}=\frac{\rho_1+\rho_2}{2}[/tex]