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An empty container with an unknown volume is weighed and found to have a mass of 95.2 g. The container is then filled with a liquid with a density of 1.005 g/cm3 and reweighed. The mass of the container and the liquid is 168.4 g. Determine the volume of the container to the appropriate number of significant figures.

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Eduard22sly

The volume of the container is 72.84 cm³

To solve this question, we'll begin by calculating the mass of the liquid in the container. This can be obtained as follow:

Mass of empty container = 95.2 g

Mass of container + Liquid = 168.4 g

Mass of Liquid =?

Mass of Liquid = (Mass of container + Liquid) – (Mass of empty container)

Mass of Liquid = 168.4 – 95.2

Mass of Liquid = 73.2 g

Finally, we shall determine the volume of the container by calculating the volume of the liquid. This can be obtained as follow:

Mass of Liquid = 73.2 g

Density of Liquid = 1.005 g/cm³

Volume of Liquid =?

Density = mass / volume

1.005 = 73.2 / Volume

Cross multiply

1.005 × Volume = 73.2

Divide both side by 1.005

Volume = 73.2 / 1.005

Volume of Liquid = 72.84 cm³

Since the container is filled with 72.84 cm³ of the liquid, it therefore means that the volume of the container is 72.84 cm³

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