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1 November, 12:53

11. A container measures 1.5mm * 282mm * 153 mm. When it is full of a liquid, it has a mass of 1.33 kg. When it is empty, it has a mass of 0.30 kg. What is the density of the liquid in kilograms per liter?

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  1. 1 November, 13:18
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    density of liquid = 16 Kg/L

    Explanation:

    Density:

    Density is equal to the mass of substance divided by its volume.

    Units:

    SI unit of density is Kg/m3.

    Other units are given below,

    g/cm3, g/mL, kg/L

    Formula:

    D=m/v

    D = density

    m=mass

    V=volume

    Symbol:

    The symbol used for density is called rho. It is represented by ρ. However letter D can also be used to represent the density.

    Given dа ta:

    Volume = 1.5 mm * 282 mm * 153 mm

    Mass of container + liquid = 1.33 Kg

    Mass of container = 0.30 Kg

    density of liquid = ?

    Solution:

    First of all we will convert the mm into L.

    Volume = 1.5 mm * 282 mm * 153 mm

    Volume = 64719 mm³

    Volume = 64719 / 10⁶ = 0.064719 L

    Mass of liquid:

    Mass of liquid = (Mass of container + liquid) - Mass of container

    Mass of liquid = 1.33 Kg - 0.30 Kg

    Mass of liquid = 1.03 Kg

    Formula:

    d = m / v

    d = 1.03 Kg / 0.064719 L

    d = 16 Kg/L
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