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Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 66

A titanium bicycle frame displaces 0.314 L of water and has a mass of 1.41 kg. What is the density of the titanium in g/cm3?

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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 the mass of an object divided by its volume. It is typically expressed in grams per cubic centimeter (g/cm³) in the context of solids and liquids. Understanding density is crucial for determining how much mass is contained in a given volume, which is essential for solving problems related to buoyancy and material properties.
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Volume Displacement

Volume displacement refers to the amount of fluid that is displaced by an object when it is submerged. In this context, the volume of water displaced by the titanium bicycle frame is used to determine its volume. This principle is based on Archimedes' principle, which states that the volume of the displaced fluid is equal to the volume of the submerged part of the object.
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Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this problem, it is necessary to convert the volume from liters to cubic centimeters (cm³) since 1 L is equivalent to 1000 cm³. Mastery of unit conversion is essential in chemistry to ensure that calculations are accurate and consistent across different measurement systems.
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