Some Basic Concepts of Chemistry
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Tutorial 2 FORMULAS, PERCENTAGE COMPOSITION
T-6 Tutorial 2 FORMULAS, PERCENTAGE COMPOSITION, AND THE MOLE FORMULAS: A chemical formula shows the elemental composition of a substance: the chemical symbols show what elements are present and the numerical subscripts show how many atoms of each element there are in a formula unit. Examples: NaCl: one sodium atom, one chlorine atom in a formula unit CaCl2: one calcium atom, two chlorine atoms in a formula unit Mg3N2: three magnesium atoms, two nitrogen atoms in a formula unit The presence of a metal in a chemical formula indicates an ionic compound, which is composed of positive ions (cations) and negative ions (anions). A formula with only nonmetals indicates a + molecular compound (unless it is an ammonium, NH4 , compound). Only ionic compounds are considered in this Tutorial. There are tables of common ions in your lecture text, p 56 (cations) and p 57 (anions). A combined table of these same ions can be found on the inside back cover of the lecture text. A similar list is on the next page; all formulas needed in this and subsequent Tutorial problems can be written with ions from this list. Writing formulas for ionic compounds is very straightforward: TOTAL POSITIVE CHARGES MUST BE THE SAME AS TOTAL NEGATIVE CHARGES. The formula must be neutral. The positive ion is written first in the formula and the name of the compound is the two ion names. EXAMPLE: Write the formula for potassium chloride. The name tells you there are potassium, K+, and chloride, Cl–, ions. Each potassium ion is +1 and each chloride ion is -1: one of each is needed, and the formula for potassium chloride is KCl. -
2•Stoichiometry: Chemical Arithmetic Formula Conventions (1 Of
Superscripts used to show the charges on ions Mg2+ the 2 means a 2+ charge (lost 2 electrons) Subscripts 2•Stoichiometry: Chemical Arithmetic used to show numbers of atoms in a formula unit Formula Conventions H2SO4 two H’s, one S, and 4 O’s (1 of 24) Coefficients used to show the number of formula units 2Br– the 2 means two individual bromide ions Hydrates CuSO4 • 5 H2O some compounds have water molecules included stoichiometry study of the quantitative relationships in chemical formulas and equations. atomic mass weighted average mass of an atom, found on the periodic table 2•Stoichiometry: Chemical Arithmetic formula mass sum of the atomic masses of the Stoichiometry Terms atoms in a formula molecular mass sum of the atomic masses of the (2 of 24) atoms in a molecular formula gram molecular mass molecular mass written in grams molar mass same as gram molecular mass empirical formula formula reduced to lowest terms Formula or molecular mass is found by simply summing the atomic masses (on the periodic table) of each atom in a formula. H2SO4 2•Stoichiometry: Chemical Arithmetic 1.01 + 1.01 + 32.06 + 16.0 + 16.0 + 16.0 + 16.0 = 98.08 u Calculating Formula Mass 2(1.01) + 32.06 + 4(16.0) = 98.06 u or 98.06 g/mole (3 of 24) Generally, round off your answers to the hundredths or tenths place. Don’t round off too much (98.06 g/mol or 98.1 g/mol is OK, but don’t round off to 98 g/mol) Units Use u or amu if you are referring to one atom or molecule A mole (abbreviated mol) is a certain number of things. -
Solute Concentration: Molality
5/25/2012 Colligative Properties of Solutions . Colligative Properties: • Solution properties that depend on concentration of solute particles, not the identity of particles. Previous example: vapor pressure lowering. Consequences: change in b.p. and f.p. of solution. © 2012 by W. W. Norton & Company Solute Concentration: Molality . Changes in boiling point/freezing point of solutions depends on molality: moles of solute m kg of solvent • Preferred concentration unit for properties involving temperature changes because it is independent of temperature. © 2012 by W. W. Norton & Company 1 5/25/2012 Calculating Molality Starting with: a) Mass of solute and solvent. b) Mass of solute/ volume of solvent. c) Volume of solution. © 2012 by W. W. Norton & Company Sample Exercise 11.8 How many grams of Na2SO4 should be added to 275 mL of water to prepare a 0.750 m solution of Na2SO4? Assume the density of water is 1.000 g/mL. © 2012 by W. W. Norton & Company 2 5/25/2012 Boiling-Point Elevation and Freezing-Point Depression . Boiling Point Elevation (ΔTb): • ΔTb = Kb∙m • Kb = boiling point elevation constant of solvent; m = molality. Freezing Point Depression (ΔTf): • ΔTf = Kf∙m • Kf = freezing-point depression constant; m = molality. © 2012 by W. W. Norton & Company Sample Exercise 11.9 What is the boiling point of seawater if the concentration of ions in seawater is 1.15 m? © 2012 by W. W. Norton & Company 3 5/25/2012 Sample Exercise 11.10 What is the freezing point of radiator fluid prepared by mixing 1.00 L of ethylene glycol (HOCH2CH2OH, density 1.114 g/mL) with 1.00 L of water (density 1.000 g/mL)? The freezing-point-depression constant of water, Kf, is 1.86°C/m. -
16.4 Calculations Involving Colligative Properties 16.4
chem_TE_ch16.fm Page 491 Tuesday, April 18, 2006 11:27 AM 16.4 Calculations Involving Colligative Properties 16.4 1 FOCUS Connecting to Your World Cooking instructions for a wide Guide for Reading variety of foods, from dried pasta to packaged beans to frozen fruits to Objectives fresh vegetables, often call for the addition of a small amount of salt to the Key Concepts • What are two ways of 16.4.1 Solve problems related to the cooking water. Most people like the flavor of expressing the concentration food cooked with salt. But adding salt can of a solution? molality and mole fraction of a have another effect on the cooking pro- • How are freezing-point solution cess. Recall that dissolved salt elevates depression and boiling-point elevation related to molality? 16.4.2 Describe how freezing-point the boiling point of water. Suppose you Vocabulary depression and boiling-point added a teaspoon of salt to two liters of molality (m) elevation are related to water. A teaspoon of salt has a mass of mole fraction molality. about 20 g. Would the resulting boiling molal freezing-point depression K point increase be enough to shorten constant ( f) the time required for cooking? In this molal boiling-point elevation Guide to Reading constant (K ) section, you will learn how to calculate the b amount the boiling point of the cooking Reading Strategy Build Vocabulary L2 water would rise. Before you read, make a list of the vocabulary terms above. As you Graphic Organizers Use a chart to read, write the symbols or formu- las that apply to each term and organize the definitions and the math- Molality and Mole Fraction describe the symbols or formulas ematical formulas associated with each using words. -
Atomic Weights and Isotopic Abundances*
Pure&App/. Chem., Vol. 64, No. 10, pp. 1535-1543, 1992. Printed in Great Britain. @ 1992 IUPAC INTERNATIONAL UNION OF PURE AND APPLIED CHEMISTRY INORGANIC CHEMISTRY DIVISION COMMISSION ON ATOMIC WEIGHTS AND ISOTOPIC ABUNDANCES* 'ATOMIC WEIGHT' -THE NAME, ITS HISTORY, DEFINITION, AND UNITS Prepared for publication by P. DE BIEVRE' and H. S. PEISER2 'Central Bureau for Nuclear Measurements (CBNM), Commission of the European Communities-JRC, B-2440 Geel, Belgium 2638 Blossom Drive, Rockville, MD 20850, USA *Membership of the Commission for the period 1989-1991 was as follows: J. R. De Laeter (Australia, Chairman); K. G. Heumann (FRG, Secretary); R. C. Barber (Canada, Associate); J. CCsario (France, Titular); T. B. Coplen (USA, Titular); H. J. Dietze (FRG, Associate); J. W. Gramlich (USA, Associate); H. S. Hertz (USA, Associate); H. R. Krouse (Canada, Titular); A. Lamberty (Belgium, Associate); T. J. Murphy (USA, Associate); K. J. R. Rosman (Australia, Titular); M. P. Seyfried (FRG, Associate); M. Shima (Japan, Titular); K. Wade (UK, Associate); P. De Bi&vre(Belgium, National Representative); N. N. Greenwood (UK, National Representative); H. S. Peiser (USA, National Representative); N. K. Rao (India, National Representative). Republication of this report is permitted without the need for formal IUPAC permission on condition that an acknowledgement, with full reference together with IUPAC copyright symbol (01992 IUPAC), is printed. Publication of a translation into another language is subject to the additional condition of prior approval from the relevant IUPAC National Adhering Organization. ’Atomic weight‘: The name, its history, definition, and units Abstract-The widely used term “atomic weight” and its acceptance within the international system for measurements has been the subject of debate. -
Nuclear Criticality Safety Engineer Training Module 1 1
Nuclear Criticality Safety Engineer Training Module 1 1 Introductory Nuclear Criticality Physics LESSON OBJECTIVES 1) to introduce some background concepts to engineers and scientists who do not have an educational background in nuclear engineering, including the basic ideas of moles, atom densities, cross sections and nuclear energy release; 2) to discuss the concepts and mechanics of nuclear fission and the definitions of fissile and fissionable nuclides. NUCLEAR CRITICALITY SAFETY The American National Standard for Nuclear Criticality Safety in Operations with Fissionable Materials Outside Reactors, ANSI/ANS-8.1 includes the following definition: Nuclear Criticality Safety: Protection against the consequences of an inadvertent nuclear chain reaction, preferably by prevention of the reaction. Note the words: nuclear - related to the atomic nucleus; criticality - can it be controlled, will it run by itself; safety - protection of life and property. DEFINITIONS AND NUMBERS What is energy? Energy is the ability to do work. What is nuclear energy? Energy produced by a nuclear reaction. What is work? Work is force times distance. 1 Developed for the U. S. Department of Energy Nuclear Criticality Safety Program by T. G. Williamson, Ph.D., Westinghouse Safety Management Solutions, Inc., in conjunction with the DOE Criticality Safety Support Group. NCSET Module 1 Introductory Nuclear Criticality Physics 1 of 18 Push a car (force) along a road (distance) and the car has energy of motion, or kinetic energy. Climb (force) a flight of steps (distance) and you have energy of position relative to the first step, or potential energy. Jump down the stairs or out of a window and the potential energy is changed to kinetic energy as you fall. -
Zumdahl Chapter 5 Gases
5 Gases Contents 5.1 Pressure • Units of Pressure 5.2 The Gas Laws of Boyle, Charles, and Avogadro • Boyle’s Law • Charles’s Law • Avogadro’s Law 5.3 The Ideal Gas Law 5.4 Gas Stoichiometry • Molar Mass of a Gas 5.5 Dalton’s Law of Partial Pressures • Collecting a Gas over Water 5.6 The Kinetic Molecular Theory of Gases • Pressure and Volume (Boyle’s Law) • Pressure and Temperature • Volume and Temperature (Charles’s Law) • Volume and Number of Moles (Avogadro’s Law) • Mixture of Gases (Dalton’s Law) • Deriving the Ideal Gas Law • The Meaning of Temperature • Root Mean Square Velocity 5.7 Effusion and Diffusion • Effusion • Diffusion 5.8 Real Gases 5.9 Characteristics of Several Real Gases 5.10 Chemistry in the Atmosphere The steaming fumaroles located in Bjarnarflag, Iceland release a variety of gases. 178 Matter exists in three distinct physical states: gas, liquid, and solid. Although rel- atively few substances exist in the gaseous state under typical conditions, gases are very important. For example, we live immersed in a gaseous solution. The earth’s atmosphere is a mixture of gases that consists mainly of elemental nitrogen (N2) and oxygen (O2). The atmosphere both supports life and acts as a waste receptacle for the exhaust gases that accompany many industrial processes. The chemical reactions of these waste gases in the atmosphere lead to various types of pollution, including smog and acid rain. The gases in the atmosphere also shield us from harmful radiation from the sun and keep the earth warm by reflecting heat radiation back toward the earth. -
Answer Key Chapter 6: Standard Review Worksheet 1
Answer Key Chapter 6: Standard Review Worksheet 1. 1 amu = 1.66 _ 10–24 g. For example, the average atomic mass of sodium is 22.99 amu, which represents the average mass of all the sodium atoms in the world (including all the various isotopes and their relative abundances). So that we will be able to use the mass of a sample of sodium to count the number of atoms of sodium present in the sample, we consider that every sodium atom in a sample has exactly the same mass (the average atomic mass). The average atomic mass of an element is typically not a whole number of amu’s because of the presence of the different isotopes of the element, each with its own relative abundance. Since the relative abundance of an element can be any number, when the weighted average atomic mass of the element is calculated, the average is unlikely to be a whole number. 2. On a microscopic basis, one mole of a substance represents Avogadro’s number (6.022 _ 1023) of individual units (atoms or molecules) of the substance. On a macroscopic basis, one mole of a substance represents the amount of substance present when the molar mass of the substance in grams is taken (for example, 12.01 g of carbon will be one mole of carbon). 3. The molar mass of a compound is the mass in grams of one mole of the compound (6.022 _ 1023 molecules of the compound) and is calculated by summing the average atomic masses of all the atoms present in a molecule of the compound. -
5.1: Atomic Mass Unit 5.1: Atomic Mass
Topic 5: Stoichiometry - Chemical Arithmetic Masses of some atoms: 1 -24 16 -23 1H = 1.6736×10 g 8 O = 2.6788 ×10 g 238 -22 92U = 3.9851×10 g Introducing…….the Atomic Mass Unit (amu) 1 amu = 1.66054 x 10-24 g 1 5.1: Atomic Mass Unit Atomic Mass is defined relative to Carbon -12 isotope 12 12 amu is the mass of the 6 C isotope of carbon Carbon -12 atom = 12.000 amu Hydrogen -1 atom = 1.008 amu Oxygen -16 atom = 15.995 amu Chlorine -35 atom = 34.969 amu 2 5.1: Atomic Mass - Natural Abundance We deal with the naturally occurring mix of isotopes, rather than pure isotopes Carbon has three natural isotopes Isotope Mass (amu) Abundance (%) 12C 12.000 98.892 13C 13.00335 1.108 14C 14.00317 1 x 10-4 Any shovelful of Carbon from living material will have a Naturally Occurring Abundance of 98.892% 12C, 1.108% 13C and 0.0001% 14C 3 1 5.1: Atomic Mass - Relative Abundance How do we take into account the naturally occurring Abundances? Take the average mass of the various isotopes weighted according to their Relative Abundances Relative Isotope Mass (amu) Abundance (%) Abundance 12C 12.000 98.892 0.98892 13C 13.00335 1.108 0.0108 -6 14C 14.00317 1 x 10-4 1 x 10 N.B. The % Abundance adds up to 100 The Relative Abundance adds up to 1 4 5.1: Average Atomic Mass Relative Isotope Mass (amu) Abundance (%) Abundance 12C 12.000 98.892 0.98892 13C 13.00335 1.108 0.0108 -6 14C 14.00317 1 x 10-4 1 x 10 The Average Atomic Mass is given by: (0.98892 x 12.000 amu) + (0.01108 x 13.00335 amu) + (1 x 10-6 x 14.00317 amu) = 12.011 amu 5 5.1: Atomic and Molecular Mass You can calculate the mass of any compound from the sum of the atomic masses from the periodic table. -
Make an Atom Vocabulary Grade Levels
MAKE AN ATOM Fundamental to physical science is a basic understanding of the atom. Atoms are comprised of protons, neutrons, and electrons. Protons and neutrons are at the center of the atom while electrons live in lobe-shaped clouds outside the nucleus. The number of electrons usually matches the number of protons, yielding a net neutral charge for the atom. Sometimes an atom has less neutrons or more neutrons than protons. This is called an isotope. If an atom has different numbers of electrons than protons, then it is an ion. If an atom has different numbers of protons, it is a different element all together. Scientists at Idaho National Laboratory study, create, and use radioactive isotopes like Uranium 234. The 234 means this isotope has an atomic mass of 234 Atomic Mass Units (AMU). GRADE LEVELS: 3-8 VOCABULARY Atom – The basic unit of a chemical element. Proton – A stable subatomic particle occurring in all atomic nuclei, with a positive electric charge equal in magnitude to that of an electron, but of opposite sign. Neutron – A subatomic particle of about the same mass as a proton but without an electric charge, present in all atomic nuclei except those of ordinary hydrogen. Electron – A stable subatomic particle with a charge of negative electricity, found in all atoms and acting as the primary carrier of electricity in solids. Orbital – Each of the actual or potential patterns of electron density that may be formed on an atom or molecule by one or more electrons. Ion – An atom or molecule with a net electric charge due to the loss or gain of one or more electrons. -
Molar Mass 1 Molar Mass
Molar mass 1 Molar mass In chemistry, the molar mass is a physical property. It is defined as the mass of a given substance (chemical element or chemical compound) divided by its amount of substance. The base SI unit for molar mass is kg/mol. However, for historical reasons, molar masses are almost always expressed in g/mol. As an example, the molar mass of water is approximately: M(H O) ≈ 18 g⋅mol−1 2 Molar masses of elements The molar mass of atoms of an element is given by the atomic mass of the element multiplied by the molar mass constant, M −3 u = 1×10 kg/mol = 1 g/mol: M(H) = 1.007 97(7) × 1 g/mol = 1.007 97(7) g/mol M(S) = 32.065(5) × 1 g/mol = 32.065(5) g/mol M(Cl) = 35.453(2) × 1 g/mol = 35.453(2) g/mol M(Fe) = 55.845(2) × 1 g/mol = 55.845(2) g/mol. Multiplying by the molar mass constant ensures that the calculation is dimensionally correct: atomic weights are dimensionless quantities (i.e., pure numbers) whereas molar masses have units (in this case, grams/mole). Some elements are usually encountered as molecules, e.g. hydrogen (H 2), sulfur (S 8), chlorine (Cl 2). The molar mass of molecules of these elements is the molar mass of the atoms multiplied by the number of atoms in each molecule: M(H 2) = 2 × 1.007 97(7) × 1 g/mol = 2.015 88(14) g/mol M(S 8) = 8 × 32.065(5) × 1 g/mol = 256.52(4) g/mol M(Cl 2) = 2 × 35.453(2) × 1 g/mol = 70.906(4) g/mol. -
Chapter 7 Preview
Section 1 Chemical Names and Chapter 7 Chapter 7 Formulas Lesson Starter Preview • CCl4 MgCl2 • Lesson Starter • Guess the name of each of the above compounds • Objectives based on the formulas written. • Significance of a Chemical Formula • What kind of information can you discern from the • Monatomic Ions formulas? • Binary Ionic Compounds • Guess which of the compounds represented is • Writing the Formula of an Ionic Compound molecular and which is ionic. • Naming Binary Ionic Compounds • Chemical formulas form the basis of the language of • Naming Binary Molecular Compounds chemistry and reveal much information about the • Covalent-Network Compounds substances they represent. • Acids and Salts Section 1 Chemical Names and Section 1 Chemical Names and Chapter 7 Formulas Chapter 7 Formulas Objectives Significance of a Chemical Formula • Explain the significance of a chemical formula. • A chemical formula indicates the relative number of atoms of each kind in a chemical compound. • Determine the formula of an ionic compound formed between two given ions. • For a molecular compound, the chemical formula reveals the number of atoms of each element • Name an ionic compound given its formula. contained in a single molecule of the compound. • Using prefixes, name a binary molecular compound from its formula. • example: octane — C8H18 • Write the formula of a binary molecular compound The subscript after the C The subscript after the H indicates that there are 18 given its name. indicates that there are 8 carbon atoms in the hydrogen atoms in molecule. the molecule. Section 1 Chemical Names and Section 1 Chemical Names and Chapter 7 Formulas Chapter 7 Formulas Significance of a Chemical Formula, continued Reading Chemical Formulas • The chemical formula for an ionic compound Click below to watch the Visual Concept.