Chemistry: The Molecular Nature of Matter and Change
9th Edition
ISBN: 9781260477467
Author: Martin Silberberg
Publisher: Mcgraw-hill Higher Education (us)
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Chapter 2, Problem 2.121P
(a)
Interpretation Introduction
Interpretation:
The fraction of volume in a helium atom occupied by the nucleus is to be determined.
Concept introduction:
Atom is a neutral particle. The presence of an equal number of protons and neutrons make atom a neutral species. Protons are positively charged particles that along with the neutral particles neutrons, make up the nucleus of an atom. The nucleus of an atom is densely packed and occupies a very small volume in the atom at the center. Electrons are negatively charged particles that revolve around the atomic nucleus due to the electrostatic force of attraction between the protons and the electrons.
The formula to calculate the volume of the spherical helium atom is,
The formula to calculate the volume of the spherical nucleus is,
The formula to calculate the fraction of the volume of atom occupied by the nucleus is,
(b)
Interpretation Introduction
Interpretation:
The fraction of the
Concept introduction:
Atom is a neutral particle. The presence of an equal number of protons and neutrons make atom a neutral species. Protons are positively charged particles that along with the neutral particles neutrons, make up the nucleus of an atom. The nucleus of an atom is densely packed and occupies a very small volume in the atom at the center. Electrons are negatively charged particles that revolve around the atomic nucleus due to the electrostatic force of attraction between the protons and the electrons.
The general formula to calculate the total mass of the electrons in a
The general formula to calculate the mass of the nucleus of an atom is,
The general formula to calculate the mass fraction of the nucleus of an atom is,
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An expression for the root mean square velocity, vrms, of a gas was derived. Using Maxwell’s velocity distribution, one can also calculate the mean velocity and the most probable velocity (mp) of a collection of molecules. The equations used for these two quantities are vmean=(8RT/πM)1/2 and vmp=(2RT/M)1/2 These values have a fixed relationship to each other.(a) Arrange these three quantities in order of increasing magnitude.(b) Show that the relative magnitudes are independent of the molar mass of the gas.(c) Use the smallest velocity as a reference for establishing the order of magnitude and determine the relationship between the larger and smaller values.
Chapter 2 Solutions
Chemistry: The Molecular Nature of Matter and Change
Ch. 2.1 - Does each of the following scenes best represent...Ch. 2.1 - Describe the following representation of a...Ch. 2.2 - Prob. 2.2AFPCh. 2.2 - Prob. 2.2BFPCh. 2.3 - Prob. 2.3AFPCh. 2.3 - Prob. 2.3BFPCh. 2.5 - Titanium, the ninth most abundant element, is used...Ch. 2.5 - Prob. 2.4BFPCh. 2.5 - Prob. 2.5AFPCh. 2.5 - Boron (B; Z = 5) has two naturally occurring...
Ch. 2.6 - Prob. 2.6AFPCh. 2.6 - Prob. 2.6BFPCh. 2.7 - Prob. 2.7AFPCh. 2.7 - Prob. 2.7BFPCh. 2.8 - Prob. 2.8AFPCh. 2.8 - Prob. 2.8BFPCh. 2.8 - Prob. 2.9AFPCh. 2.8 - Prob. 2.9BFPCh. 2.8 - Prob. 2.10AFPCh. 2.8 - Prob. 2.10BFPCh. 2.8 - Prob. 2.11AFPCh. 2.8 - Prob. 2.11BFPCh. 2.8 - Prob. 2.12AFPCh. 2.8 - Prob. 2.12BFPCh. 2.8 - Prob. 2.13AFPCh. 2.8 - Prob. 2.13BFPCh. 2.8 - Prob. 2.14AFPCh. 2.8 - Prob. 2.14BFPCh. 2.8 - Prob. 2.15AFPCh. 2.8 - Prob. 2.15BFPCh. 2.8 - Prob. 2.16AFPCh. 2.8 - Prob. 2.16BFPCh. 2.8 - Determine the name, formula, and molecular (or...Ch. 2.8 - Prob. 2.17BFPCh. 2 - Prob. 2.1PCh. 2 - List two differences between a compound and a...Ch. 2 - Which of the following are pure substances?...Ch. 2 - Classify each substance in Problem 2.3 as an...Ch. 2 - Explain the following statement: The smallest...Ch. 2 - Prob. 2.6PCh. 2 - Can the relative amounts of the components of a...Ch. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - In our modern view of matter and energy, is the...Ch. 2 - Prob. 2.14PCh. 2 - Which of the following scenes illustrate(s) the...Ch. 2 - Prob. 2.16PCh. 2 - Prob. 2.17PCh. 2 - Prob. 2.18PCh. 2 - Prob. 2.19PCh. 2 - Fluorite, a mineral of calcium, is a compound of...Ch. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26PCh. 2 - Prob. 2.27PCh. 2 - Dolomite is a carbonate of magnesium and calcium....Ch. 2 - Prob. 2.29PCh. 2 - Which of Dalton’s postulates about atoms are...Ch. 2 - Use Dalton’s theory to explain why potassium...Ch. 2 - Prob. 2.32PCh. 2 - The following charges on individual oil droplets...Ch. 2 - Prob. 2.34PCh. 2 - When Rutherford’s coworkers bombarded gold foil...Ch. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - Prob. 2.41PCh. 2 - Prob. 2.42PCh. 2 - Prob. 2.43PCh. 2 - Write the notation for each atomic depiction:
Ch. 2 - Write the notation for each atomic depiction:
Ch. 2 - Draw atomic depictions similar to those in Problem...Ch. 2 - Prob. 2.47PCh. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - Chlorine has two naturally occurring isotopes,...Ch. 2 - Prob. 2.51PCh. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - Prob. 2.54PCh. 2 - Prob. 2.55PCh. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Prob. 2.58PCh. 2 - Prob. 2.59PCh. 2 - Prob. 2.60PCh. 2 - Prob. 2.61PCh. 2 - Prob. 2.62PCh. 2 - Prob. 2.63PCh. 2 - Prob. 2.64PCh. 2 - Prob. 2.65PCh. 2 - Prob. 2.66PCh. 2 - Prob. 2.67PCh. 2 - Prob. 2.68PCh. 2 - Prob. 2.69PCh. 2 - Prob. 2.70PCh. 2 - Prob. 2.71PCh. 2 - What monatomic ions would you expect radium (Z =...Ch. 2 - Prob. 2.73PCh. 2 - Prob. 2.74PCh. 2 - Prob. 2.75PCh. 2 - Prob. 2.76PCh. 2 - The radii of the sodium and potassium ions are 102...Ch. 2 - Prob. 2.78PCh. 2 - What information about the relative numbers of...Ch. 2 - Prob. 2.80PCh. 2 - Prob. 2.81PCh. 2 - Prob. 2.82PCh. 2 - Prob. 2.83PCh. 2 - Prob. 2.84PCh. 2 - Prob. 2.85PCh. 2 - Prob. 2.86PCh. 2 - Prob. 2.87PCh. 2 - Prob. 2.88PCh. 2 - Prob. 2.89PCh. 2 - Give the systematic names for the formulas or the...Ch. 2 - Prob. 2.91PCh. 2 - Prob. 2.92PCh. 2 - Prob. 2.93PCh. 2 - Prob. 2.94PCh. 2 - Prob. 2.95PCh. 2 - Prob. 2.96PCh. 2 - Prob. 2.97PCh. 2 - Prob. 2.98PCh. 2 - Prob. 2.99PCh. 2 - Prob. 2.100PCh. 2 - Prob. 2.101PCh. 2 - Prob. 2.102PCh. 2 - Prob. 2.103PCh. 2 - Prob. 2.104PCh. 2 - Prob. 2.105PCh. 2 - Prob. 2.106PCh. 2 - Prob. 2.107PCh. 2 - Prob. 2.108PCh. 2 - Prob. 2.109PCh. 2 - Prob. 2.110PCh. 2 - Prob. 2.111PCh. 2 - Prob. 2.112PCh. 2 - Prob. 2.113PCh. 2 - What is the difference between a homogeneous and a...Ch. 2 - Prob. 2.115PCh. 2 - Prob. 2.116PCh. 2 - Prob. 2.117PCh. 2 - Prob. 2.118PCh. 2 - Which separation method is operating in each of...Ch. 2 - Prob. 2.120PCh. 2 - Prob. 2.121PCh. 2 - Prob. 2.122PCh. 2 - Prob. 2.123PCh. 2 - Prob. 2.124PCh. 2 - Ammonium dihydrogen phosphate, formed from the...Ch. 2 - Prob. 2.126PCh. 2 - Prob. 2.127PCh. 2 - Prob. 2.128PCh. 2 - Prob. 2.129PCh. 2 - Prob. 2.130PCh. 2 - The following scenes represent a mixture of two...Ch. 2 - Prob. 2.132PCh. 2 - Prob. 2.133PCh. 2 - Prob. 2.134PCh. 2 - Prob. 2.135PCh. 2 - Prob. 2.136PCh. 2 - Prob. 2.137PCh. 2 - Prob. 2.138PCh. 2 - Prob. 2.139PCh. 2 - Prob. 2.140PCh. 2 - Prob. 2.141PCh. 2 - Prob. 2.142PCh. 2 - Prob. 2.143PCh. 2 - Prob. 2.144PCh. 2 - Prob. 2.145PCh. 2 - Prob. 2.146PCh. 2 - Prob. 2.147P
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