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1 December, 22:44

Ethyl alcohol has been added to 200 mL of water in a container that has a mass of 150 g when empty. The resulting container and liquid mixture has a mass of 512 g. What volume of alcohol was added to the water?

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  1. 2 December, 01:40
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    205.3 mL of ethyl alcohol

    Explanation:

    The resulting container and liquid mixture has a mass of 512 g

    Mass of container + Mass of water + Mass of ethyl alcohol

    150 g + 200 g + Mass of ethyl alcohol = 512 g

    We know that water has a mass of 200g, cause the density, which values 1 g/mL.

    200 mL are contained in 200 g of water.

    Mass of ethyl alcohol = 512 g - 200 g - 150 g ⇒ 162 g

    Density of ethyl alcohol = ethyl alcohol mass / ethyl alcohol volume

    0.789 g/mL = 162g / ethyl alcohol volume

    162 g / 0.789 g/mL = 205.3 mL
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