[PDF] Example Exercise 91 Atomic Mass and Avogadro’s Number



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Example Exercise 91 Atomic Mass and Avogadro’s Number

(a) 1 atom of Au (b) 6 02 × 1023 atoms of Au Answers: (a) 196 97 amu; (b) 196 97 g Practice Exercise What is the mass of an average platinum atom? What is the mass of Avogadro’s number of Pt atoms? Answer: See Appendix G Concept Exercise



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© 2011 Pearson Education, Inc.Introductory Chemistry: Concepts and Critical Thinking, 6th Edition

Charles H. Corwin

Example Exercise 9.1Atomic Mass and Avogadro's Number

The atomic mass of each element is listed below the symbol of the element in the periodic table: Cu =

63.55 amu, Hg = 200.59 amu, S = 32.07 amu, and He = 4.00 amu. The mass of Avogadro's number of atoms

is the atomic mass expressed in grams. Therefore, 6.02 10 23
atoms of (a)Cu = 63.55 g(c)S = 32.07 g (b)Hg = 200.59 g(d)He = 4.00 g

Solution

Refer to the atomic masses in the periodic table inside the front cover of this textbook. State the mass of Avogadro's

number of atoms for each of the following elements: (a)Copper(c)sulfur (b)Mercury(d)helium Refer to the periodic table and state the mass for each of the following: (a)

1 atom of Au(b)6.02 1023 atoms of Au

Answers:(a) 196.97 amu; (b) 196.97 g

Practice Exercise

What is the mass of an average platinum atom? What is the mass of Avogadro's number of Pt atoms?

Answer:See Appendix G.

Concept Exercise

© 2011 Pearson Education, Inc.Introductory Chemistry: Concepts and Critical Thinking, 6th Edition

Charles H. Corwin

Example Exercise 9.2Mole Calculations I

Calculate the number of sodium atoms in 0.120 mol Na.

Strategy Plan

Step 1: What unit is asked for in the answer?

Step 2: What given value is related to the answer?

Step 3: What unit factor(s) should we apply?

Since 1 mol Na = 6.02

10 23
atoms Na, the two unit factors are 1 mol Na/6.02 1023 atoms Na, and its reciprocal 6.02 10 23
atoms Na/1 mol Na.

Unit Analysis Map

© 2011 Pearson Education, Inc.Introductory Chemistry: Concepts and Critical Thinking, 6th Edition

Charles H. Corwin

Example Exercise 9.2Mole Calculations I

Calculate the number of formula units in 0.0763 mol of sodium chloride, NaCl.

Answers:4.59

10 22
formula units NaCl

Practice Exercise

What is the number of molecules in 1.00 mol of any gas?

Answer:See Appendix G.

Concept Exercise

We apply the unit factor 6.02 10

23
atoms Na/1 mol Na to cancel moles , which appears in the denominator.

The answer is rounded to three digits because the given value and unit factor each have three significant

digits.

Solution

Continued

© 2011 Pearson Education, Inc.Introductory Chemistry: Concepts and Critical Thinking, 6th Edition

Charles H. Corwin

Example Exercise 9.3Mole Calculations I

Calculate the number of moles of potassium in 1.2510 21
atoms K.

Strategy Plan

Step 1: What unit is asked for in the answer?

Step 2: What given value is related to the answer?

Step 3: What unit factor(s) should we apply?

Since mol K = 6.02 10

23
atoms K, the two unit factors are 1 mol K/6.02 10 23
atoms K, and its reciprocal 6.02 10 23
atoms K/1 mol K.

Unit Analysis Map

© 2011 Pearson Education, Inc.Introductory Chemistry: Concepts and Critical Thinking, 6th Edition

Charles H. Corwin

Example Exercise 9.3Mole Calculations I

We apply the unit factor 1 mol K/6.0210

23
atoms K to cancel atoms , which appears in the denominator.

The answer is rounded to three digits because the given value and unit factor each have three significant digits.

Solution

Calculate the number of moles of potassium iodide in 5.3410 25
formula units of KI.

Answer:88.7 mol KI

Practice Exercise

What is the number of molecules in 1.00 mol of iodine crystals?

Answer:See Appendix G.

Concept Exercise

Continued

© 2011 Pearson Education, Inc.Introductory Chemistry: Concepts and Critical Thinking, 6th Edition

Charles H. Corwin

Example Exercise 9.4Molar Mass Calculations

We begin by finding the atomic mass of each element in the periodic table. The molar mass equals the sum of the atomic

masses expressed in g/mol. (a)The atomic mass of Ag is 107.87 amu, and the molar mass of silver equals 107.87 g/mol. (b)The sum of the atomic masses for NH 3 is 14.01 amu + 3(1.01)amu = 17.04 amu. The molar mass of ammonia equals 17.04 g/mol. (c)The sum of the atomic masses for Mg(NO 3 2 is

24.31 amu + 2(14.01 + 16.00 + 16.00 + 16.00)amu = 148.33 amu.

The molar mass of magnesium nitrate equals 148.33 g/mol.

Solution

Calculate the molar mass for each of the following substances: (a)silver metal, Ag(b)ammonia gas, NH 3 (c)magnesium nitrate, Mg(NO 3 2 Calculate the molar mass for each of the following substances: (a)manganese metal, Mn(b)sulfur hexafluoride, SF 6 (c)strontium acetate, Sr(C 2 H 3 O 2 2 Answers:(a) 54.94 g/mol; (b) 146.07 g/mol; (c) 205.72 g/mol

Practice Exercise

The molecular mass of water is 18.02 amu. What is the mass of Avogadro's number of water molecules?

Answer:See Appendix G.

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