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Introduction to Chemistry: Matter, Atoms, and Scientific Method

스터디 가이드 - 스마트 노트

자료에 맞춘 맞춤형 노트, 핵심 정의, 예시, 맥락을 확장해 제공합니다.

{"type":"doc","content":[{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"The World of Chemistry"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"What is Chemistry?"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Chemistry is the basic science concerned with the structure and behavior of atoms (elements), the composition and properties of compounds, the reactions between substances with their accompanying energy exchange, and the laws that unite these phenomena into a comprehensive system. Chemistry connects physics, biology, and many other applied sciences, and evolved from alchemy through systematic research by scientists such as Boyle, Lavoisier, Dalton, and others."}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Matter and Its Composition"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Atoms and Molecules"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"All matter is composed of tiny particles called "},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"atoms"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":". Atoms are the fundamental building blocks of matter. They can bond together to form "},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"molecules"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":", which are independent units consisting of two or more atoms chemically bound together. Chemical bonds are the attachments that hold atoms together in molecules."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Example:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" A single drop of soda pop contains about one billion trillion atoms, including water and carbon dioxide molecules."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_2.png","alt":"Soda pop with molecular models of water and carbon dioxide","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Mixtures and Chemical Bonds"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Soda pop is a mixture consisting of carbon dioxide molecules, water molecules, and other substances that contribute flavor and color. The characteristics of sugar molecules produce sweetness, while carbon dioxide and water are important for fizzing. Bubbles in soda pop are pockets of carbon dioxide gas escaping from the liquid."}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_7.png","alt":"Diagram showing carbon dioxide bubbles in soda pop","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Structure of Common Molecules"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Carbon Dioxide (CO2):"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Consists of one carbon atom and two oxygen atoms in a straight line. Its molecular structure makes it a gas at room temperature."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_5.png","alt":"Carbon dioxide molecule structure","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Water (H2O):"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Consists of one oxygen atom and two hydrogen atoms in a bent shape. Its structure makes it a liquid at room temperature."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_6.png","alt":"Water molecule structure","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Classification of Matter"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Definitions for Components of Matter"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Element:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" The simplest type of substance with unique physical and chemical properties, consisting of only one type of atom. Cannot be broken down by physical or chemical means."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Molecule:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" A structure of two or more atoms chemically bound together, behaving as an independent unit."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Compound:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" A substance composed of two or more elements chemically combined."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Mixture:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" A group of two or more elements and/or compounds physically intermingled."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_11.png","alt":"Elements, compounds, and mixtures diagram","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Classification Flowchart"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Matter can be classified as heterogeneous or homogeneous mixtures, or as pure substances (elements or compounds) based on uniformity and separability."}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_12.png","alt":"Classification of matter flowchart","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Physical States of Matter"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Matter exists in three primary physical states: solid, liquid, and gas. The arrangement and movement of particles differ in each state."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Solid:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Particles are close together and organized."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Liquid:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Particles are close but disorganized."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Gas:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Particles are far apart and disorganized."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_13.png","alt":"Physical states of matter: solid, liquid, gas","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Properties and Changes of Matter"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Physical and Chemical Properties"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Physical Properties:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Observed without changing the substance (e.g., color, melting point, boiling point, density)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Chemical Properties:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Observed as the substance interacts with or transforms into other substances (e.g., flammability, corrosiveness)."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_14.png","alt":"Characteristic properties of copper","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Types of Properties"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Intensive Properties:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Independent of the amount of substance (e.g., density, boiling point, color)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Extensive Properties:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Dependent on the amount of substance (e.g., mass, volume, energy)."}]}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Physical and Chemical Changes"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Physical Changes:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Do not change the composition of a substance (e.g., changes of state, temperature, volume)."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Chemical Changes:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Result in new substances (e.g., combustion, oxidation, decomposition)."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_15.png","alt":"Distinction between physical and chemical change","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Energy in Chemistry"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Energy and Chemical Reactions"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Energy is the ability to do work. It exists as potential energy (due to position) and kinetic energy (due to movement). Chemical reactions are often accompanied by energy changes:"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Exothermic Reaction:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Energy is released."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Endothermic Reaction:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Energy is absorbed."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_17.png","alt":"Exothermic and endothermic reactions","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Energy Transformations"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Potential energy can be converted to kinetic energy, as seen in chemical reactions and physical systems (e.g., burning fuel in a car, stretching and releasing a spring)."}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_18.png","alt":"Potential energy converted to kinetic energy in a car","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_19.png","alt":"Potential energy converted to kinetic energy in a spring","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"The Scientific Method"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"How Chemists Think"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"The scientific method is a systematic way of learning that emphasizes observation and experimentation. It involves:"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Observations:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Measuring or observing aspects of nature."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Hypotheses:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Tentative interpretations of observations."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Laws:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Summarize results of many observations."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"bold"}],"text":"Theories:"},{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Models that explain and give underlying causes for observations and laws."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_26.png","alt":"Scientific process flowchart","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Example: Law of Conservation of Mass"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Antoine Lavoisier observed that the mass of substances does not change during combustion in a closed container. This led to the law of conservation of mass: \"In a chemical reaction, matter is neither created nor destroyed.\""}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_23.png","alt":"Lavoisier's experiment","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]},{"type":"image","attrs":{"src":"https://static.studychannel.pearsonprd.tech/study_guide_files/general-chemistry/sub_images/dd543b44_image_24.png","alt":"Law of mass conservation experiment","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Atomic Theory"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Dalton’s Atomic Theory"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"John Dalton proposed that all matter is composed of small, indestructible particles called atoms. His theory explains the law of conservation of mass and the law of definite proportions:"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"All matter consists of atoms; atoms cannot be created or destroyed."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Atoms of one element cannot be converted into atoms of another element."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Atoms of an element are identical in mass and properties, and differ from those of other elements."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Compounds result from the chemical combination of specific ratios of atoms of different elements."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"cid:image_29","alt":"Law of constant composition","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Law of Multiple Proportions"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"If elements A and B form more than one compound, the masses of B that combine with a fixed mass of A are in ratios of small whole numbers. This supports the atomic theory and the indivisibility of atoms in chemical reactions."}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"cid:image_32","alt":"Law of multiple proportions","title":null,"width":null,"height":null},"marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}]}]},{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Summary"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Chemistry seeks to understand matter by studying atoms and molecules."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"The scientific method is central to chemical discovery."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"The law of conservation of mass and atomic theory are foundational concepts in chemistry."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Scientific Notation: "}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"A number written in scientific notation has 2 parts"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"A decimal part: a number between 1 and 10"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"An exponential part: where the number is raised to exponent n with a base of 10"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Move the decimal point to obtain a number between 1 and 10."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" 'Multiply that number (the decimal part) by 10 raised to the power that reflects the movement of the decimal point."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"underline"}],"text":"Uncertainty in Measurements"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Uncertainty in Measurements is When we make measurements and the number of significant figures to include the number of digits we read by the scale plus one estimated digit. "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"This estimated digit defines the uncertainty of the measurement • "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"The surface of the liquid is curved. This is called the meniscus. "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"When we read the volume, we read it at the BOTTOM of the meniscus. •"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" The smallest division of this graduated cylinder is 1 mL. Therefore, our reading error will be ±0.1 mL or 1/10 of the smallest division. "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"An appropriate reading of the volume is 36.5 ±0.1 mL. An equally precise value would be 36.6 mL or 36.4 mL. "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"How many significant figures does our answer have? 3 sig fig! The \"3\" and the \"6\" we know for sure and the \"5\" is the estimated digit. "}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}},{"type":"underline"}],"text":"Express Uncertainties by Significant Figures "}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"1. All nonzero digits are significant. "}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"2. Zeroes between two significant figures are themselves significant.(interior zeros)"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" 3. Zeroes at the beginning of a number are never significant. (leading zeros) "}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"4. Zeroes at the end of a number are significant if a decimal point is written in the number, otherwise they are NOT significant. (trailing zeros)"}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"´When addition or subtraction is performed, answers are rounded to the least significant decimal place."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" ´ When multiplication or division is performed, answers are rounded to the number of digits that corresponds to the least number of significant figures in any of the numbers used in the calculation. ´ "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Every number has an associated absolute error. "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"The absolute error is taken as ±1 unit in the last significant digit. "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"For example, a number such as 2.4x103 has an absolute error of ±0.1x103."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"When the calculator answer is a small whole number and more significant figures are needed, we can add one or more zeros."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"In addition or subtraction, the final answer is written so that it has the same number of decimal places as the measurement having the fewest decimal places. "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Example 1 Add the following measured numbers: 2.012 Thousandths place 61.09 Hundredths place + 3.0 Tenths place 66.102 "}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"Calculator display 66.1 Answer rounded to the tenths place"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":"If the number after the last digit to be retained is less than 5 - drop this digit and all that follow. ´"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" If the number after the last digit to be retained is equal to or greater than 5 – round the preceding digit up '"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Last but not least: if you have to go through multiple steps of calculation before you get to the final answer, DO NOT round the results from the intermediate steps!"}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"textStyle","attrs":{"color":"#FFFFFF"}}],"text":" Each time you round, the errors get carried over and accumulated."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"data:image/png;base64,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