Final answer:
The mass of the flask filled with acetone is calculated by determining the volume of the flask using the mass of water it holds, then multiplying this volume by the density of acetone. The mass of the acetone plus the empty flask equals the total mass of the flask filled with acetone.
Step-by-step explanation:
To calculate the mass of the flask filled with acetone, first, we need to determine the volume of the flask because the mass of the acetone depends on the volume of the flask. We know that the flask when filled with water weighs 75.2 g, and the empty flask weighs 49.74 g. This means that the mass of the water in the flask is 75.2 g - 49.74 g = 25.46 g. Since the density of water is 1 g/mL, the volume of the flask is 25.46 mL. Now, we can multiply this volume by the density of acetone to obtain the mass of the acetone in the flask. The density of acetone is 0.792 g/mL, so the mass of the acetone is 25.46 mL * 0.792 g/mL = 20.16432 g. Finally, we add the mass of the empty flask to the mass of the acetone to obtain the mass of the flask filled with acetone, which is 49.74 g + 20.16432 g = 69.90432 g.
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