Book cover for Physics

Physics

John D. Cutnell, Kenneth W. Johnson, David Young, Shane Stadler

ISBN #9781118486894

10th Edition

2,562 Questions

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Homework Questions

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Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This section bridges microscopic and macroscopic properties of matter by introducing the atomic mass unit and defining the mole with Avogadro’s number. It then connects these concepts to the ideal gas law and kinetic theory, which reveal the relationship between gas pressure, volume, temperature, and molecular motion. Finally, diffusion and Fick’s law are explored, illustrating how molecules move from high to low concentrations, a process vital in both natural phenomena and engineered systems.

Learning Objectives

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Key Concepts

CONCEPT

DEFINITION

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Example Problems

Example 1

Hemoglobin has a molecular mass of 64500 u. Find the mass (in $\mathrm{kg}$ ) of one molecule of hemoglobin.

Example 2

Manufacturers of headache remedies routinely claim that their own brands are more potent pain relievers than the competing brands. Their way of making the comparison is to compare the number of molecules in the standard dosage. Tylenol uses $325 \mathrm{mg}$ of acetaminophen $\left(\mathrm{C}_{8} \mathrm{H}_{9} \mathrm{NO}_{2}\right)$ as the standard dose, whereas Advil uses $2.00 \times 10^{2} \mathrm{mg}$ of ibuprofen $\left(\mathrm{C}_{13} \mathrm{H}_{18} \mathrm{O}_{2}\right) .$ Find the number of molecules of pain reliever in the standard doses of (a) Tylenol and (b) Advil.

Example 3

A mass of 135 g of a certain element is known to contain $30.1 \times$ $10^{23}$ atoms. What is the element?

Example 4

A certain element has a mass per mole of $196.967 \mathrm{g} / \mathrm{mol}$. What is the mass of a single atom in (a) atomic mass units and (b) kilograms? (c) How many moles of atoms are in a 285-g sample?

Example 5

The active ingredient in the allergy medication Claritin contains carbon (C), hydrogen (H), chlorine (Cl), nitrogen (N), and oxygen (O). Its molecular formula is $\mathrm{C}_{22} \mathrm{H}_{23} \mathrm{ClN}_{2} \mathrm{O}_{2}$. The standard adult dosage utilizes $1.572 \times 10^{19}$ molecules of this species. Determine the mass (in grams) of the active ingredient in the standard dosage.

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Step-by-Step Explanations

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Common Mistakes

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