With Pride & Gratitude, this work is dedicated to my family: to my Wife, Gladys, who deserves to be identified as the book’s Co-Author; and to my two Sons, Phillip and Ryan, who, every day, make me proud to be their Father. Preface This book is intended to serve several purposes: 1. To function as a ready Desk Reference for the Occupational Safety and Health Profes- sional, the Industrial Hygienist, and/or the Environmental Engineer. Such an individ- ual, in the normal development of his or her career, will likely have specialized in some relatively specific sub-area of one of these overall disciplines. For such an individual, there will likely be occasions when a professional or job related problem or situation will arise, one that falls within the general domain of Occupational Safety and Health, Industrial Hygiene, or the Environment, but is outside of this individual's area of prin- cipal focus and competence, and is, therefore, not immediately familiar to him or her. For such cases, this Reference Source will, hopefully, provide a simple path toward the answer. 2. To function as a useful Reference Source, Study Guide, or refresher to any individual who is preparing to take either the Core or the Comprehensive Examination for Certifi- cation as an Industrial Hygienist, a Safety Professional, an Environmental Engineer, or an Environmental Professional. 3. Finally, to assist Students who have embarked on a course of study in one of these disciplines. As a fairly concise compilation of most the various important mathemati- cal relationships and definitions that these Students will be called upon to utilize as they progress in their profession, it is hoped that this group, too, may find this work to be of some value. This book, as a Reference Information Source and Example Problem Workbook, contains virtually every Mathematical Relationship, Formula, Definition, and Conversion Factor that any Professional in any of these overall disciplines will ever need or encounter. Every effort has been made to be certain that the information and relationships in it reflect the very best of the current thinking and technological understanding, as these concepts are currently used in the field. Each of the Problem Solutions in this book contains carefully prepared step-by-step proce- dures that were followed in developing the requested answer. In addition, these Solutions contain explanations of the reasons and factors that had to be considered and used in com- pleting each step. The underlying goal in generating these very detailed Solutions was that they would constitute a very complete road map that leads from the Problem Statement, itself, all the way to its eventual Solution. It is hoped that the various Problems, most having been developed out of the real life professional experiences of the Author and some of his colleagues, will prove to be representative of the actual situations that a professional in any of these fields might routinely encounter in the normal conduct of his or her profes- sional life; because of this, it is hoped that they, too, will be of special value to both the professional and the prospective professional, alike. Two final comments for the individual who has chosen to follow, or check out, each spe- cific mathematical step shown in any of the Problem Solutions. 1. Each result — as it is developed and presented in its final "boxed" format — will have been adjusted so as to contain the correct number of significant digits. 2. In many of the Problem Solutions, there will, of necessity, be separate steps involving calculations that develop "intermediate" results — as an example, please refer to Prob- lem #3.12, from Page 3-27. In this problem there are four major, but separate, sub- results that must be calculated [see the Solution on Pages 3-54 through 3-57] in order to develop the final result that is asked for in the Problem Statement. In order, for the Solution of this Problem, these four steps are described below [labeled i, ii, iii, & iv]: i. Determination of the set of four mass-based concentration TLV Standards from the set of four volumetric based TLV Standards that were provided in the Problem Statement; ii. Determination of the overall TLV for the entire four component mixture, effective considered as a whole; iii. Determination of the theoretical individual vapor phase concentrations [mass- based] for each of the four components in this mixture — i.e., what these concen- trations would have to be in order for the previously calculated overall mixture TLV to apply to the vapor phase; and effective iv. Finally, a determination of the four volume-based equivalent concentrations corre- sponding to each of these calculated mass-based concentrations. For every multi-step Solution, each of the "intermediate" results will also have been reported in an appropriate number of significant digits; however, each subsequent calcu- lation that makes use of any of these "intermediate" results will employ the "un- rounded" number value that has been retained in the math coprocessor of the computer or the calculator that is being used to perform the calculations. Because of this, any individual who methodically checks every step of any Problem Solution in this Text will almost certainly develop "intermediate" results that differ numerically from those in this section. This will be true if the answers that he or she obtains, in this overall stepwise process, were developed from the rounded, rather than the unrounded, "intermediate" values. To understand this situation better, please con- sider the following specific, in-depth example: I would like to discuss two specific calculation steps that are presented in the Solution to Problem #3.12 [Page 3-27], as shown on Pages 3-54 through 3- 57. The two steps are listed on Pages 3-55 & 3-56 — they involve the deter- mination of the mass-based concentration of Methylene Chloride. This "in- termediate" result was calculated to be 189.557+ mg/m3, and reported — in its rounded form — as 190 mg/m3. In each subsequent calculation step in the Solution to this Problem, the value of this concentration appears to have been used in its rounded form; however, such was never the case. Its un- rounded equivalent always remained in the math coprocessor (where it had been carried out to a precision of many decimal places) and in every similar case each such value was always this value — namely, 189.557+ mg/m3 — that was used in each subsequent calculation, rather than the indicated rounded 190 mg/m3 value. To continue with this specific example, consider one of the expressions used to calculate the TLV for the entire mixture. The expression to which I effective refer is shown below: 1 TLV = effective 0.25 0.55 0.15 0.05 + + + 6,175 8,361 2,084 190 The final term in the denominator of the overall expression for the TLV , effective which is taken from the set of calculations referred to directly above, is listed as: 0.05 190 If the individual who is carefully checking out each step of each solution car- ries out this mathematical operation, using these values, on any calculator, he or she will obtain as a result, 2.632× 10–4. Clearly, this differs slightly from the listed value of 2.64× 10–4; however, the difference is certainly not great. This latter value derives from using the ratio listed below, since it is the unrounded 189.557+ mg/m3 value that had been maintained in the calcu- lator or computer that is being used. Thus the ratio actually employed in making this math calculation was: DEFINITIONS, CONVERSIONS, AND CALCULATIONS 0.05 = 2.6391145649× 10–4 189.557481931+ It is this second ratio, in contrast to the first one, that produces the slightly different 2.64× 10–4 value listed above. Analogous slight deviations will likely occur in every Problem Solution where there are any "intermediate" numerical results, and the Reader should be aware of this possibility. Should any reader wish to pass on comments or suggestions as to any aspect of the contents of this volume, I can be reached at any of the following locations and/or listings: High Tech Enterprises P. O. Box 7835 Stockton, CA 95267-0835 Telephone: (209) 473-1113 Fax: (209) 473-1114 E-Mail: [email protected] Home Page: http://www.hi-tech-ent.com Finally, I would like to compliment and thank any reader who has taken the trouble to wade through all the foregoing commentary. I hope it will be helpful as you progress in your studies or your career. Good luck as you put this volume into practical use. Edward W. Finucane, PE, QEP, CSP, CIH AUTHOR Edward W. Finucane was born in San Francisco, and raised in Stockton, California. He has earned degrees in Engineering from Stanford University, and in Business from Golden Gate University. Professionally, Mr. Finucane has been involved in both the Environ- mental and the Occupational Safety and Health fields for more than 30 years. During the last eighteen, he has operated his own professional consulting company, High Tech Enter- prises, out of offices in Stockton, California. Mr. Finucane is a Registered Professional Engineer [PE], a Qualified Environmental Professional [QEP], a Certified Safety Profes- sional [CSP], and a Certified Industrial Hygienist – Comprehensive Practice [CIH]. He has had extensive experience in the areas of: ambient gas analysis, gas analyzer calibra- tion, indoor air quality, ventilation, noise and sound, heat and cold stress, health physics, and in the general area of hazardous wastes. For the past several years, he has served on the faculty of the twice yearly course, Compre- hensive Review of Industrial Hygiene, offered jointly by the Center for Occupational and Environmental Health [University of California at Berkeley, California] and the Northern California Section of the American Industrial Hygiene Association. Edward W. “Ted” Finucane’s E-Mail Address is: [email protected], and High Tech Enterprises’ Home Page can be accessed at: http://www.hi-tech-ent.com. ACKNOWLEDGMENTS In authoring this text, I would like to thank a number of people without whose insights and guidance this work would still not be complete. Included in this group are professional associates, colleagues, friends, and even family members — in each case, individuals whose perspectives and opinions were very important to me. First, I would like to thank Kenneth P. McCombs, Acquisitions Editor, and his associate, Susan Alfieri, Production Manager, both of whom work with my publisher, LEWIS PUB- LISHERS/CRC PRESS, in New York City, NY. Their patience and understanding with me and my very deliberate efforts to complete this work in a timely manner were remark- able. In addition, Mimi Williams, Quality Assurance Editor — also with LEWIS PUB- LISHERS/CRC PRESS, however, in their Boca Raton, FL, office — did an amazing job of proofreading my manuscript. I was not able to disagree with anything she found to be incorrect! For sharing his significant experience in gas analyzer calibrations and standards, I would like to thank Wayne A. Jalenak, Ph.D., of Maynard, MA. His comments and insights on the material in the chapter covering Standards and Calibrations were invaluable. For their contributions on the chapter covering Ionizing and Non-Ionizing Radiation, I would like to thank my brother, James S. Finucane, Ph.D., of Bethesda, MD, and David Baron, PE, of Minneapolis, MN. Jim’s help with the overall structure of this section and Dave’s unique contributions in the area of non-ionizing radiation were, in each case, abso- lutely vital to the development of the information in this chapter. For sharing his expertise in the area of Statistics and Probability, I would like to acknowl- edge the contributions of William R. Hill of Albuquerque, NM. Bill’s comments and sug- gestions were vital in clarifying the various difficult relationships that are discussed in this chapter. David L. Williams of Santa Clara, CA, and Joel E. Johnson of Wilmington, DE, each pro- vided their very valuable perspectives on the content of Appendix A, the section that covers the Atmosphere. For the knowledge and inspiration he provided me, I would like to acknowledge my teacher, Professor Andrew J. Galambos, whose work in the physical and volitional sciences has pro- vided me with the principal foundation upon which my own professional life has been based. Last, but most certainly not least, I would like to acknowledge and thank my wife, Gladys. In spite of the fact that her formal education included neither the environment nor the area of occupational safety and health, she proofread the entire text, and in doing so was able to identify numerous areas where my descriptions required clarification, where I had omitted important data, etc., etc. Needless to say, to the extent that the material in this book is understandable to its readers, much of the credit must go to her. Table of Contents Chapter 1: The Basic Parameters and Laws of Physics & Chemistry RELEVANT DEFINITIONS Basic Units Length Mass Time Temperature Electrical Current The Amount of any Substance Luminous Intensity Supplemental Units Plane Angle Solid Angle Derived Units Area Volume Velocity or Speed Acceleration Force Pressure Energy, Work, or Heat Power Electric Charge Electrical Potential or Potential Difference Capacitance Density Concentration Luminous Flux Frequency Radioactive Activity Absorbed Radiation Dose Radiation Dose Equivalent or Radiation Dose Equivalent Index Atmospheric Standards Standard Temperature and Pressure Normal Temperature and Pressure Ventilation-Based Standard Air Metric Prefixes (for use with SI Units) RELEVANT FORMULAE & RELATIONSHIPS Temperature Conversions Equation #1-1: Metric Temperature Conversion: Celsius (relative) to Kelvin (absolute) Equation #1-2: English Temperature Conversion: Fahrenheit (rela- tive) to Rankine (absolute) Equation #1-3: Relative Temperature Conversion: English System to Metric System Equation #1-4: Temperature Difference Conversion: Metric System to English System