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Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 98

You are assigned the task of separating a desired granular material with a density of 3.62 g/cm3 from an undesired granular material that has a density of 2.04 g/cm3. You want to do this by shaking the mixture in a liquid in which the heavier material will fall to the bottom and the lighter material will float. A solid will float on any liquid that is more dense. Using an Internet-based source or a handbook of chemistry, find the densities of the following substances: carbon tetrachloride, hexane, benzene, and diiodomethane. Which of these liquids will serve your purpose, assuming no chemical interaction takes place between the liquid and the solids?

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Density

Density is defined as mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³). It is a crucial property that determines whether an object will float or sink in a fluid. An object will float in a liquid if its density is less than that of the liquid. In this scenario, understanding the densities of the granular materials and the liquids is essential for effective separation.
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Buoyancy

Buoyancy is the upward force exerted by a fluid that opposes the weight of an object immersed in it. This principle explains why objects with lower density than the fluid will float, while those with higher density will sink. In the context of the question, selecting a liquid with a density lower than the desired material (3.62 g/cm³) but higher than the undesired material (2.04 g/cm³) is key to achieving separation through buoyancy.

Separation Techniques

Separation techniques in chemistry involve methods used to isolate specific components from a mixture based on their physical properties. In this case, the technique of density-based separation is employed, where shaking the mixture in a suitable liquid allows for the separation of materials based on their differing densities. Understanding various separation methods is important for selecting the most effective approach for the task at hand.
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