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Ch.1 - Matter, Measurement & Problem Solving
Tro - Chemistry: A Molecular Approach 6th Edition
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 123

The density of titanium is 4.51 g>cm3. What is the volume (in cubic inches) of 2.54 lb of titanium?

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Convert the mass of titanium from pounds to grams using the conversion factor: 1 lb = 453.592 g.
Calculate the volume in cubic centimeters using the formula: \( \text{Volume} = \frac{\text{Mass}}{\text{Density}} \), where the mass is in grams and the density is 4.51 g/cm³.
Convert the volume from cubic centimeters to cubic inches using the conversion factor: 1 inch = 2.54 cm, so \( 1 \text{ cm}^3 = \left(\frac{1}{2.54}\right)^3 \text{ in}^3 \).
Multiply the volume in cubic centimeters by the conversion factor to get the volume in cubic inches.
Ensure all units are correctly converted and consistent throughout the calculation.

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Concetti chiave

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Density

Density is defined as mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³) in the metric system. It is a crucial property that helps determine how much space a given mass of a substance occupies. In this question, the density of titanium allows us to relate its mass to its volume, which is essential for solving the problem.
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Density Concepts

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, we need to convert the mass of titanium from pounds (lb) to grams (g) to use the given density. Understanding how to perform these conversions accurately is vital for ensuring that calculations yield correct results.
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Conversion Factors

Volume Calculation

Volume calculation involves determining the space occupied by a substance, which can be derived from its mass and density using the formula: Volume = Mass / Density. In this context, once the mass of titanium is converted to grams, applying this formula will allow us to find the volume in cubic centimeters, which can then be converted to cubic inches for the final answer.
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Constant-Volume Calorimetry