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23 August, 13:38

If 15 drops of ethanol from a medicine dropper weigh 0.60g, how many drops does it takes from a dropper to dispense 1.0ml of ethanol? Density of ethanol is ethanol is 0.80g/ml.

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  1. 23 August, 13:54
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    20.0 drops.

    Explanation:

    Firstly, we need to know the volume of the 15 drops that weigh 0.60 g. We can get the volume from the relation: d = m / V.

    Where, d is the density (d = 0.80 g/ml),

    m is the mass (m = 0.60 g),

    V is the volume (? ml)

    ∴ V = m / d = (0.60 g) / (0.80 g/ml) = 0.75 ml.

    Using cross multiplication:

    15.0 drops will dispense → 0.75 ml of ethanol.

    ? drops will dispense → 1.0 ml of ethanol.

    ∴ The number of drops that will dispense 1.0 ml of ethanol = (1.0 ml) (15.0 drops) / (0.75 ml) = 20.0 drops.
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