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4 February, 01:20

A 0.5 m^3 container is filled with a mixture of 10% by volume ethanol and 90% by volume water at 25 °C. Find the weight of the liquid.

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  1. 4 February, 02:29
    0
    total weight of liquid = 4788.25 N or 488.09 kg

    Explanation:

    given data

    total volume = 0.5 m³

    volume of ethanol = 10 % of volume = 0.10 * 0.5 = 0.05 m³

    volume of water = 90 % at 25 °C of volume = 0.90 * 0.5 = 0.45 m³

    to find out

    weight of the liquid

    solution

    we know that density of water at 25 is 997 kg/m³

    and density of ethanol is 789 kg/m³

    so weight of water is = density * volume * g

    put here value and we take g = 9.81

    weight of water is = 997 * 0.45 * 9.81

    weight of water = 4401.25 N ... 1

    weight of ethanol is = density * volume * g

    put here value and we take g = 9.81

    weight of ethanol is = 789 * 0.05 * 9.81

    weight of ethanol = 387.00 N ... 2

    so total weight of liquid = sum of equation 1 add 2

    total weight of liquid = 4401.25 + 387

    total weight of liquid = 4788.25 N or 488.09 kg
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