A balance and a graduated cylinder are used to determine the density of a mineral sample. The sample has the mass of 14.7 g and the volume of 2.2 cubic cm. What is the density of the mineral sample? 

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The density of a material is defined as a mass per unit volume. So if an object has a mass m, and the volume V, its density can be found as

`D = m/V` .

As described in the question, a balance can be used to measure the mass of the...

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The density of a material is defined as a mass per unit volume. So if an object has a mass m, and the volume V, its density can be found as

`D = m/V` .

As described in the question, a balance can be used to measure the mass of the mineral sample. The volume of the sample can be determined by placing the sample in the graduated cylinder filled with water or another liquid. The level of the liquid in the cylinder rises as the sample displaces some of the liquid. The change of the level, measured by the markings on the cylinder, indicates the volume of the displaced liquid and thus, the sample.

The density of the sample with the given mass and volume then equals

`D = m/V=(14.7 g)/(2.2 cm^3) = 6.68 g/(cm^3)` .

Converted to the SI of the units of measurements, the density would be 

`D = 6.68*10^3 (kg)/m^3` .

The density of the given sample is 6.68 gram per cubic centimeter.

 

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