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14 December, 03:48

A 32.65-g sample of a solid is placed in a flask. Toluene, in which the solid is insoluble, is added to the fla sk so that the total volume of solid and liquid together is 50.00 mL. The solid and toluene together weigh 58.58 g. The density of toluene at the temperature of the experiment is 0.864 g / mL. What is the density of the solid?

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  1. 14 December, 07:18
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    Density of the solid is 1.63g/mL

    Explanation:

    Hello,

    Data;

    Mass of solid = 32.65g

    Mass of toluene = ?

    Mass of solid + toluene = 58.58g

    Density of toluene = 0.864g/mL

    Mass of toluene = (mass of solid + toluene) - mass of solid

    Mass of toluene = 58.58 - 32.65

    Mass of toluene = 25.93g

    But density = mass / volume

    Density of toluene = mass of toluene / volume of toluene

    Volume of toluene = mass of toluene / density of toluene

    Volume of toluene = 25.93 / 0.864

    Volume of toluene = 30.01mL

    Volume of solid = total volume of the mixture (solid + toluene) - volume of toluene

    Volume of solid = 50 - 30.01

    Volume of solid = 19.99mL

    Density of the solid = mass of solid / volume of solid

    Density of the solid = 32.65 / 19.99

    Density of the solid = 1.63g/mL

    Therefore the density of the solid is 1.63g/mL
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