Ch.1 - Matter, Measurement & Problem Solving
Tro5th EditionChemistry: A Molecular ApproachISBN: 9780134874371Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 146
Substance A has a density of 1.7 g/cm³. Substance B has a density of 1.7 kg/m³. Without doing any calculations, determine which substance is more dense.
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First, recognize that the units for density are different for Substance A and Substance B. Substance A is in g/cm³, while Substance B is in kg/m³.
Understand that 1 g/cm³ is equivalent to 1000 kg/m³ because 1 g = 0.001 kg and 1 cm³ = 0.000001 m³.
Convert the density of Substance A from g/cm³ to kg/m³ by multiplying by 1000. This helps to compare both densities in the same units.
Now, compare the converted density of Substance A in kg/m³ with the given density of Substance B in kg/m³.
Determine which density value is greater to identify which substance is more dense.
Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Density
Density is defined as mass per unit volume, typically expressed in units such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). It is a crucial property that helps in comparing the compactness of different substances. A higher density indicates that a substance has more mass in a given volume, which is essential for determining buoyancy and material properties.
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Density Concepts
Unit Conversion
Unit conversion is the process of converting a measurement from one unit to another, which is vital in comparing quantities expressed in different units. In this case, converting the density of Substance B from kg/m³ to g/cm³ is necessary to make a direct comparison with Substance A. Understanding how to convert between these units allows for accurate assessments of density.
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Conversion Factors
Comparison of Densities
When comparing densities, it is important to ensure that both substances are expressed in the same units. This allows for a straightforward determination of which substance is denser. In this scenario, recognizing that 1.7 g/cm³ is significantly greater than 1.7 kg/m³ (after conversion) is key to concluding which substance is more dense without performing calculations.
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Density Concepts
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