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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoBrown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 109
Capitolo 1, Problema 109

(c) Using the volume of a silver atom and the formula for the volume of a sphere, calculate the radius in angstroms of a silver atom.

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insert step 1> Determine the volume of a silver atom. This information might be given directly in the problem or you may need to calculate it using the density and molar mass of silver.
insert step 2> Recall the formula for the volume of a sphere: \(V = \frac{4}{3} \pi r^3\), where \(V\) is the volume and \(r\) is the radius.
insert step 3> Rearrange the formula to solve for the radius \(r\): \(r = \left(\frac{3V}{4\pi}\right)^{1/3}\).
insert step 4> Substitute the volume of the silver atom into the rearranged formula to calculate the radius.
insert step 5> Convert the radius from meters to angstroms, knowing that 1 angstrom = \(10^{-10}\) meters.

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Volume of a Sphere

The volume of a sphere is calculated using the formula V = (4/3)πr³, where V is the volume and r is the radius. This formula is essential for determining the size of spherical objects, such as atoms, by relating their volume to their radius. Understanding this relationship allows for the conversion of volume measurements into linear dimensions.
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Constant-Volume Calorimetry

Atomic Volume

Atomic volume refers to the space occupied by a single atom, typically expressed in cubic centimeters or cubic angstroms. For silver, this value can be derived from its molar volume and density. Knowing the atomic volume is crucial for calculating the radius of an atom, as it provides the necessary information to apply the volume formula effectively.
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Percorso guidato
02:35
Constant-Volume Calorimetry

Unit Conversion to Angstroms

An angstrom (Å) is a unit of length equal to 10^-10 meters, commonly used in chemistry to express atomic and molecular dimensions. When calculating the radius of an atom, it is important to ensure that all measurements are in consistent units. Converting the radius from centimeters or other units to angstroms allows for easier comparison and understanding of atomic sizes.
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Conversion Factors
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Domanda del libro di testo
U.S. 1-cent coin (a penny) has a diameter of 19 mm and a thickness of 1.5 mm. Assume the coin is made of pure copper, whose density and approximate market price are 8.9 g/cm3 and \$2.40 per pound, respectively. Calculate the value of the copper in the coin, assuming its thickness is uniform.
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Domanda del libro di testo

In 2009, a team from Northwestern University and Western Washington University reported the preparation of a new 'spongy' material composed of nickel, molybdenum, and sulfur that excels at removing mercury from water. The density of this new material is 0.20 g/cm3, and its surface area is 1242 m2 per gram of material. (b) Calculate the surface area for a 10.0-mg sample of this material.

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