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Ch.1 - Matter, Measurement & Problem Solving
Tro - Chemistry: A Molecular Approach 5th Edition
Tro5th EditionChemistry: A Molecular ApproachISBN: 9780134874371당신이 사용하는 게 아니라요?교과서 변경
1장, 문제 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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1
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.

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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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