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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 14th Edition
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Tutti i libri di testoBrown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 7b
Capitolo 1, Problema 7b

(b) Three cubes of equal mass are composed of gold (density = 19.32 g/cm3), platinum (density = 21.45 g/cm3), and lead (density = 11.35 g/cm3). List the cubes from smallest to largest.

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Identify that the problem involves comparing the volumes of three cubes made of different materials but with equal mass.
Recall the formula for density: \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \). Rearrange it to find the volume: \( \text{Volume} = \frac{\text{Mass}}{\text{Density}} \).
Since the mass of each cube is the same, the volume of each cube is inversely proportional to its density.
Compare the densities of the materials: gold (19.32 g/cm^3), platinum (21.45 g/cm^3), and lead (11.35 g/cm^3).
List the cubes from smallest to largest volume based on their densities: platinum (smallest volume), gold, lead (largest volume).

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Density

Density is defined as mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³). It is a crucial property that helps determine how much matter is packed into a given space. In this question, the densities of gold, platinum, and lead are provided, which will be used to compare the relative sizes of the cubes when their masses are equal.
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Density Concepts

Volume Calculation

Volume can be calculated using the formula: Volume = Mass / Density. Since the cubes have equal mass, their volumes will differ based on their respective densities. A lower density indicates a larger volume for the same mass, which is essential for determining the order of the cubes from smallest to largest.
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Constant-Volume Calorimetry

Comparison of Materials

Comparing materials based on their physical properties, such as density, allows us to rank them effectively. In this scenario, understanding how the densities of gold, platinum, and lead relate to their volumes will enable us to list the cubes from smallest to largest. This concept emphasizes the importance of material properties in practical applications.
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Laboratory Materials 2
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