Domanda del libro di testo
An atom of rhodium (Rh) has a diameter of about 2.7×10−8 cm. a. What is the radius of a rhodium atom in angstroms (Å) and in meters (m)?
2
views
Ch.2 - Atoms, Molecules, and Ions
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement146
- Ch.2 - Atoms, Molecules, and Ions200
- Ch.3 - Chemical Reactions and Reaction Stoichiometry176
- Ch.4 - Reactions in Aqueous Solution155
- Ch.5 - Thermochemistry126
- Ch.6 - Electronic Structure of Atoms131
- Ch.7 - Periodic Properties of the Elements126
- Ch.8 - Basic Concepts of Chemical Bonding123
- Ch.9 - Molecular Geometry and Bonding Theories143
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces91
- Ch.12 - Solids and Modern Materials122
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics174
- Ch.15 - Chemical Equilibrium101
- Ch.16 - Acid-Base Equilibria139
- Ch.17 - Additional Aspects of Aqueous Equilibria146
- Ch.18 - Chemistry of the Environment72
- Ch.19 - Chemical Thermodynamics129
- Ch.20 - Electrochemistry142
- Ch.21 - Nuclear Chemistry101
- Ch.22 - Chemistry of the Nonmetals68
- Ch.23 - Transition Metals and Coordination Chemistry66
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry10
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 2, Problema 19c
The radius of an atom of gold (Au) is about 1.35 Å. c. If the atom is assumed to be a sphere, what is the volume in cm3 of a single Au atom?
Guida verificata passo dopo passo1
Convert the radius from angstroms to centimeters. Recall that 1 Å = 1 \(\times\) 10^{-10} meters and 1 meter = 100 cm.
Use the formula for the volume of a sphere, which is V = \(\frac{4}{3}\) \(\pi\) r^3, where r is the radius of the sphere.
Substitute the radius in centimeters into the volume formula.
Calculate the value inside the formula without rounding off too early to maintain accuracy.
Express the final volume of the gold atom in cubic centimeters (cm^3).
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
3mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Atomic Radius
The atomic radius is a measure of the size of an atom, typically defined as the distance from the nucleus to the outermost electron shell. For gold (Au), the atomic radius is approximately 1.35 Å (angstroms), which is a unit of length equal to 10^-10 meters. Understanding atomic radius is crucial for calculating the volume of an atom, as it provides the necessary dimension for geometric calculations.
Video consigliato:
Percorso guidato
02:02
Atomic Radius
Volume of a Sphere
The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. This formula is essential for determining the volume of a gold atom when it is approximated as a spherical shape. By substituting the atomic radius into this formula, one can find the volume in cubic centimeters (cm³), which is a standard unit for measuring volume.
Video consigliato:
Percorso guidato
02:35Constant-Volume Calorimetry
Unit Conversion
Unit conversion is the process of converting a measurement from one unit to another. In this context, it is important to convert the volume calculated in cubic angstroms (ų) to cubic centimeters (cm³) for consistency with standard scientific measurements. Knowing the conversion factors, such as 1 Å = 10^-8 cm, allows for accurate and meaningful comparisons of atomic volumes.
Video consigliato:
Percorso guidato
01:56Conversion Factors
Pratica correlata
Domanda del libro di testo
An atom of rhodium (Rh) has a diameter of about 2.7×10−8 cm. c. If you assume that the Rh atom is a sphere, what is the volume in m3 of a single atom?
3
views
Domanda del libro di testo
The radius of an atom of gold (Au) is about 1.35 Å. b. How many gold atoms would have to be lined up to span 1.0 mm?
4
views
Domanda del libro di testo
The radius of an atom of gold (Au) is about 1.35 Å. a. Express this distance in nanometers (nm) and in picometers (pm).
2
views
Domanda del libro di testo
Millikan determined the charge on the electron by studying the static charges on oil drops falling in an electric field (Figure 2.5). A student carried out this experiment using several oil drops for her measurements and calculated the charges on the drops. She obtained the following data: Droplet Calculated Charge (C) A 1.60 * 10-19 B 3.15 * 10-19 C 4.81 * 10-19 D 6.31 * 10-19 (c) What value (and to how many significant figures) should she report for the electronic charge?
579
views