Answer :
Final answer:
Using the solid's density of 2.00 g/mL and a total volume of 78.0 mL (liquid + solid), the mass of the solid is determined to be 73.0 g after accounting for the volume and mass of the liquid solvent.
Explanation:
To determine the mass of the solid, we need to use the concept of density. Density is defined as the mass of a substance per unit volume. Given that the density of the solid is 2.00 g/mL and the total volume of the solid and liquid together is 78.0 mL, we can find the mass of the solid.
First, we need to calculate the volume of the liquid solvent. Since the liquid solvent has a mass of 35.9 g and a density of 0.865 g/mL, we can use the formula: volume = mass / density. Substituting the given values, we get volume = 35.9 g / 0.865 g/mL = 41.5 mL.
Next, we can find the volume of the solid by subtracting the volume of the liquid from the total volume: volume of solid = total volume - volume of liquid = 78.0 mL - 41.5 mL = 36.5 mL.
Finally, we can calculate the mass of the solid using the formula: mass = volume x density. Substituting the known values, we get mass = 36.5 mL x 2.00 g/mL = 73.0 g.
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