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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 15th Edition
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Tutti i libri di testoBrown 15th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 39d
Capitolo 1, Problema 39d

(d) A cubic piece of metal measures 5.00 cm on each edge. If the metal is nickel, whose density is 8.90 g/cm3, what is the mass of the cube?

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Calculate the volume of the cube using the formula for the volume of a cube: \( V = \text{side}^3 \). Here, the side length is 5.00 cm.
Substitute the side length into the volume formula: \( V = (5.00 \text{ cm})^3 \).
Calculate the volume in cubic centimeters.
Use the density formula to find the mass: \( \text{mass} = \text{density} \times \text{volume} \).
Substitute the known values into the density formula: \( \text{mass} = 8.90 \text{ g/cm}^3 \times \text{volume} \).

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Density

Density is defined as the mass of an object divided by its volume, typically expressed in grams per cubic centimeter (g/cm³). It is a crucial property that helps identify substances and can be used to calculate mass or volume when the other is known. In this case, the density of nickel is given as 8.90 g/cm³, which will be used to find the mass of the cube.
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Density Concepts

Volume of a Cube

The volume of a cube is calculated using the formula V = a³, where 'a' is the length of one edge of the cube. For a cube measuring 5.00 cm on each edge, the volume can be determined by cubing the edge length. This volume will be essential for calculating the mass of the nickel cube using its density.
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Constant-Volume Calorimetry

Mass Calculation

Mass can be calculated using the formula: mass = density × volume. Once the volume of the cube is determined, multiplying it by the density of nickel will yield the mass of the cube. This relationship is fundamental in chemistry for converting between mass, volume, and density.
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Molar Mass Calculation Example
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