4. Alcohol of mass 21g and density 0.7gcm-3 is mixed with 10g of water. Determine the density of the mixture. (density of water = 1.0g

Question

4. Alcohol of mass 21g and density 0.7gcm-3 is mixed with 10g of water. Determine the density
of the mixture. (density of water = 1.0g cm-3)

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Hồng Cúc 7 months 2021-07-16T10:09:15+00:00 1 Answers 10 views 0

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    2021-07-16T10:10:32+00:00

    Answer:

    The density of the mixture is 0.775 g/cm³

    Explanation:

    The given parameters are;

    The mass of the alcohol, m₁ = 21 g

    The density of the alcohol, ρ₁ = 0.7 g/cm³

    The mass of the water with which the alcohol is mixed, m₂ = 10 g

    The density of wate, ρ₂ = 1.0 g/cm³

    The density of a substance is given by the ratio of the mass to the volume of the substance

    The density of the mixture, ρ is given as follows;

    \rho = \dfrac{m_1 + m_2}{\dfrac{m_1}{\rho_1} + \dfrac{m_2}{\rho_2}  }

    Therefore;

    \rho = \dfrac{21 + 10}{\dfrac{21}{0.7} + \dfrac{10}{1.0}  } = 0.775

    The density of the mixture, ρ = 0.775 g/cm³.

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