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

Question

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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Kiệt Gia 6 months 2021-07-16T10:06:35+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-16T10:08:27+00:00

    Answer:

    0.775 g/cm³

    Explanation:

    The given parameters are;

    The mass of the alcohol = 21 g

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

    The mass of water with whichit is mixed = 10 g

    The density of water = 1.0 g/cm³

    Therefore, the mass of the mixture, m = 21 g + 10 g = 31 g

    Volume = Mass/Density

    The volume of the alcohol = 21 g/(0.7 g/cm³) = 30 cm³

    The volume of the water = 10 g/(1.0 g/cm³) = 10 cm³

    Therefore, the volume of the mixture, V = 30 cm³ + 10 cm³ = 40 cm³

    The density of the mixture, ρ = (Mass, m)/(Volume, V) = m/V

    ∴ ρ = (31 g)/(40 cm³) = 0.775 g/cm³

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

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