1: Matter and Measurements
- Page ID
- 86187
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\( \newcommand{\dsum}{\displaystyle\sum\limits} \)
\( \newcommand{\dint}{\displaystyle\int\limits} \)
\( \newcommand{\dlim}{\displaystyle\lim\limits} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\(\newcommand{\longvect}{\overrightarrow}\)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)What is chemistry? Simply put, chemistry is the study of the interactions of matter with other matter and with energy. This seems straightforward enough. However, the definition of chemistry includes a wide range of topics that must be understood to gain a mastery of the topic or even take additional courses in chemistry. In this book, we will lay the foundations of chemistry in a topic-by-topic fashion to provide you with the background you need to successfully understand chemistry.
- 1.1: Chemistry - The Central Science
- This page presents chemistry as the study of matter, its properties, and transformations, highlighting its connections to biology and geology. It outlines the scientific method, detailing the process of hypothesis formulation and testing. The distinction between physical and chemical properties is made, with physical changes involving state alterations without composition changes, and chemical changes resulting in new substance formation.
- 1.2: States of Matter
- This page explains the three classical states of matter—solid, liquid, and gas—detailing their distinct physical properties. Solids maintain a fixed shape and volume, liquids have a fixed volume but adapt to the shape of their container, and gases lack both definite shape and volume, filling their container.
- 1.3: Classification of Matter
- This page outlines a framework for classifying matter into pure substances and mixtures. Pure substances include elements, which cannot be broken down, and compounds, which are combinations of elements in fixed ratios. Mixtures, on the other hand, are physical combinations that can be either homogeneous or heterogeneous. Examples are provided to clarify the differences in categorization within chemistry.
- 1.4: Chemical Elements and Symbols
- This page explains fundamental chemistry concepts related to elements, their symbols, and their significance in the universe. It discusses the recognition of 118 elements, the etymology of their names, and the use of chemical symbols for writing compounds, using familiar examples like water and sulfuric acid. The page also addresses polyatomic ions and how they are represented in formulas. Furthermore, it highlights environmental challenges stemming from phosphorus scarcity in the Earth's crust.
- 1.5: Chemical Reactions - Examples of Chemical Change
- This page discusses chemical reactions, highlighting the transformation of reactants into products driven by their properties. It covers chemical equations, which show reactants and products with stoichiometric coefficients. The page uses butane (C4H10) as an example of combustion, illustrating its reaction with oxygen to produce carbon dioxide and water.
- 1.6: Physical Quantities - Units and Scientific Notation
- This page emphasizes the significance of accurate measurement in chemistry, detailing the metric system and SI units, along with metric prefixes for expressing quantities. It covers the proper use of common prefixes and scientific notation for efficiently handling large or small numbers. The multiplication and division rules for scientific notation are also explained, alongside the importance of including both numbers and units.
- 1.7: Measuring Mass, Length, and Volume
- This page explains fundamental measurement concepts, defining mass as the amount of matter and weight as the gravitational force on that mass. It specifies that mass is measured in kilograms and weight in newtons, with length in meters and volume derived from length in cubic meters or liters. It stresses the importance of terminology and discusses how to create new derived units through unit multiplication and division.
- 1.8: Measurement and Significant Figures
- This page explains significant figures, emphasizing their role in representing measurement precision according to the measuring device. It details rules for identifying significant figures, including non-zero digits, middle zeros, and the implications of leading and trailing zeros. The text highlights that significant figures indicate measurement certainty and notes that exact quantities have infinite significant figures, ultimately stressing their importance in conveying measurement accuracy.
- 1.9: Rounding Off Numbers
- This page explains significant figures in arithmetic, emphasizing their role in scientific calculations. It details rules for rounding based on arithmetic operations: for multiplication and division, results should have the least significant figures; for addition and subtraction, results must align with the least precise decimal place.
- 1.10: Problem Solving - Unit Conversions and Estimating Answers
- This page covers unit conversion skills, including the use of conversion factors to change quantities between units while maintaining significant figures. It emphasizes the relationship between mass and volume through density, with examples like mercury. The process of converting nanoliters to liters and kiloliters is also discussed, highlighting the importance of significant figures and the role of exact numbers in conversions.
- 1.11: Temperature, Heat, and Energy
- This page explains the difference between temperature and heat, where temperature measures kinetic energy and heat is energy transfer. It outlines the Fahrenheit, Celsius, and Kelvin scales and their conversions. The page also distinguishes between calories and kilocalories, discusses energy conversion, and illustrates examples involving heat release during digestion.
- 1.12: Density and Specific Gravity
- This page covers density and specific gravity, emphasizing their roles in material characterization. It defines density as mass over volume and includes examples for calculation, alongside measurement units. Specific gravity is introduced, comparing a substance's density to a reference. The impact of temperature is discussed for both density and specific gravity.