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8 September, 12:51

A 10.0cm3 volume of alcohol has a mass of 7.05g. What is the density of the alcohol in grams per cubic centimeter

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  1. 8 September, 13:08
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    0.705 g/cm³

    Explanation:

    Step 1: define density

    The (volumetric mass) density of a sample or substance, is this sample or substance its mass per unit volume and can be defined through following formula:

    ρ = m/v

    with ρ = density (kg/m³)

    m = mass of the substance (kg)

    v = volume (m3)

    Step 2: change datat SI-units

    10.0 cm³ = 10^-5 m³

    7.05 g = 0.00705 kg

    ρ = 0.00705 kg / 10^-5 m³ = 705 kg / m³

    To convert this to g/cm³ we have to divide by 1000

    ρ = 0.705 g/cm³

    To control this we calculate 7.05g / 10cm³ = 0.705 g/cm³

    The desnity of the alcohol is 0.705 g/cm³
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