Chapter 1 1.6 to 1.9 Chemical Foundations Chapter 1 Table of Contents 1.6 1.7 1.8 1.9 Dimensional Analysis Temperature Density Classification of Matter Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.6 Dimensional Analysis • Use when converting a given result from one system of units to another. To convert from one unit to another, use the equivalence statement that relates the two units. Derive the appropriate unit factor by looking at the direction of the required change (to cancel the unwanted units). Multiply the quantity to be converted by the unit factor to give the quantity with the desired units. Copyright © Cengage Learning. All rights reserved Section 1.6 Dimensional Analysis Example #1 A golfer putted a golf ball 6.8 ft across a green. How many inches does this represent? To convert from one unit to another, use the equivalence statement that relates the two units. 1 ft = 12 in The two unit factors are: Copyright © Cengage Learning. All rights reserved Section 1.6 Dimensional Analysis Example #1 A golfer putted a golf ball 6.8 ft across a green. How many inches does this represent? • Derive the appropriate unit factor by looking at the direction of the required change (to cancel the unwanted units). Copyright © Cengage Learning. All rights reserved Section 1.6 Dimensional Analysis Example #1 A golfer putted a golf ball 6.8 ft across a green. How many inches does this represent? • Multiply the quantity to be converted by the unit factor to give the quantity with the desired units. Copyright © Cengage Learning. All rights reserved Section 1.6 Dimensional Analysis Example #2 An iron sample has a mass of 4.50 lb. What is the mass of this sample in grams? (1 kg = 2.2046 lbs; 1 kg = 1000 g) Copyright © Cengage Learning. All rights reserved • What data would you need to estimate the money you would spend on gasoline to drive your car from New York to Chicago? Provide estimates of values and a sample calculation. Copyright © Houghton Mifflin Company. All rights reserved. 1–26 Section 1.6 Dimensional Analysis Concept Check What data would you need to estimate the money you would spend on gasoline to drive your car from New York to Los Angeles? Provide estimates of values and a sample calculation. Copyright © Cengage Learning. All rights reserved Examples l Because you never learned dimensional analysis, you have been working at a fast food restaurant for the past 35 years wrapping hamburgers. Each hour you wrap 184 hamburgers. You work 8 hours per day. You work 5 days a week. you get paid every 2 weeks with a salary of $840.34. How many hamburgers will you have to wrap to make your first one million dollars? l A senior was applying to college and wondered how many applications she needed to send. Her counselor explained that with the excellent grade she received in chemistry she would probably be accepted to one school out of every three to which she applied. She immediately realized that for each application she would have to write 3 essays, and each essay would require 2 hours work. Of course writing essays is no simple matter. For each hour of serious essay writing, she would need to Units to a Power l How many m3 is 1500 cm3? 1500 cm3 1500 1m 1m 1m 100 cm 100 cm 100 cm cm3 1m 100 cm 3 Units to a Power l l How many cm2 is 15 m2? 36 cm3 is how many mm3? Section 1.7 Temperature Three Systems for Measuring Temperature • • • Fahrenheit Celsius Kelvin Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.7 Temperature The Three Major Temperature Scales Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.7 Temperature Converting Between Scales Return to TOC Copyright © Cengage Learning. All rights reserved • At what temperature does C = F? • Prove your answer. Copyright © Houghton Mifflin Company. All rights reserved. 1–28 0ºC is not 0ºF ºF 9 5 ºC (0,32)= (C1,F1) ºF ºC (0,32) = (C1,F1) (100,212) = (C2,F2) ºF ºC Section 1.7 Temperature Exercise At what temperature does C = F? Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.7 Temperature Solution • • • Since °C equals °F, they both should be the same value (designated as variable x). Use one of the conversion equations such as: Substitute in the value of x for both TC and TF. Solve for x. Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.7 Temperature Solution Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.8 Density • • Mass of substance per unit volume of the substance. Common units are g/cm3 or g/mL. Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.8 Density Example #1 A certain mineral has a mass of 17.8 g and a volume of 2.35 cm3. What is the density of this mineral? Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.8 Density Example #2 What is the mass of a 49.6-mL sample of a liquid, which has a density of 0.85 g/mL? Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Matter • • Anything occupying space and having mass. Matter exists in three states. Solid Liquid Gas Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter The Three States of Water Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Solid • • Rigid Has fixed volume and shape. Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Structure of a Solid Click below for visual concept while in play mode http://college.cengage.com/chemistry/zumdahl/chem istry/7e/assets/students/protected/fae/index.html?lay er=act&src=qtiworkflowflash_1_11.xml&w=750&h =434 Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Liquid • • Has definite volume but no specific shape. Assumes shape of container. Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Structure of a Liquid http://college.cengage.com/chemistry/zumdahl/chemistry/7e/assets/stu Text dents/protected/fae/index.html?layer=act&src=qtiworkflowflash_1_15 .xml&w=750&h=434 Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Gas • • Has no fixed volume or shape. Takes on the shape and volume of its container. Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Structure of a Gas http://college.cengage.com/chemistry/zumdahl/chemistry/ 7e/assets/students/protected/fae/index.html?layer=act&sr c=qtiworkflowflash_1_14.xml&w=750&h=434 Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Mixtures • Have variable composition. Homogeneous Mixture Having visibly indistinguishable parts; solution. Heterogeneous Mixture Having visibly distinguishable parts. Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Homogeneous Mixtures http://college.cengage.com/chemistry/zumdahl/chemistry/7e/assets/ students/protected/fae/index.html?layer=act&src=qtiworkflowflash_ 1_13.xml&w=750&h=434 Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Homogeneous vs. Heterogeneous Mixtures http://college.cengage.com/chemistry/zumdahl/chemistry/7e/assets/ students/protected/fae/index.html?layer=act&src=qtiworkflowflash _1_10.xml&w=750&h=434 Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Compound vs. Mixture http://college.cengage.com/chemistry/zumdahl/chemistry/7e/assets/students/ protected/fae/index.html?layer=act&src=qtiworkflowflash_1_12.xml&w=75 0&h=434 Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Concept Check Which of the following is a homogeneous mixture? Pure water Gasoline Jar of jelly beans Soil Copper metal Return to TOC Copyright © Cengage Learning. All rights reserved 40 Key Terms: Properties • A physical property is displayed by a sample of matter without undergoing any change in the composition of the matter. Copper is redbrown, opaque, solid: physical properties. – Physical properties include mass, color, volume, temperature, density, melting point, etc. • Chemical property – displayed by a sample of matter as it undergoes a change in composition. Ethanol is flammable: a chemical property. – Flammability, toxicity, reactivity, Prentice Hallacidity © 2005 are all chemical properties. General Chemistry 4 edition, Hill, Petrucci, McCreary, Perry th Chapter One Section 1.9 Classification of Matter Physical Change • Change in the form of a substance, not in its chemical composition. • Example: boiling or freezing water Can be used to separate a mixture into pure compounds, but it will not break compounds into elements. Distillation Filtration Chromatography Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter Chemical Change • A given substance becomes a new substance or substances with different properties and different composition. Example: Bunsen burner (methane reacts with oxygen to form carbon dioxide and water) Return to TOC Copyright © Cengage Learning. All rights reserved 43 Key Terms: Properties • In a physical change, there is no change in composition. • No new substances are formed. – Examples include: evaporation; melting; cutting a piece of wood; dissolving sugar in water. • In a chemical change or chemical reaction, the matter undergoes a change in composition. The vapor burns, • New substances are formed. combining with oxygen: a – Examples include: burning chemical change. gasoline; dissolving metal in Prentice Hall © 2005 General Chemistry 4 edition, Hill, Petrucci, McCreary, Perry acid; spoilage of food. th The liquid fuel evaporates: a physical change. Chapter One Section 1.9 Classification of Matter Concept Check How many of the following are examples of a chemical change? Pulverizing (crushing) rock salt Burning of wood Dissolving of sugar in water Melting a popsicle on a warm summer day Return to TOC Copyright © Cengage Learning. All rights reserved Section 1.9 Classification of Matter The Organization of Matter Return to TOC Copyright © Cengage Learning. All rights reserved Classifying Matter Figure 1.9 Atoms 46 Molecules make up ALL MATTER which exists as Pure Substances Mixtures which may be which may be Elements Prentice Hall © 2005 Compounds Homogeneous General Chemistry 4th edition, Hill, Petrucci, McCreary, Perry Heterogeneous Chapter One The Organization of Matter Matter Mixtures: a) Homogeneous (Solutions) b) Heterogeneous Pure Substances Elements Compounds Atoms Nucleus Protons Quarks Electrons Neutrons Quarks 48 Classifying Matter • A (pure) substance has a definite or fixed composition that does not vary from one sample to another. • All substances are either elements or compounds. • An element cannot be broken down into other simpler substances by chemical reactions. – About 100 elements known at this time – Each element has a chemical symbol: O, H, Ag, Fe, Cl, S, Hg, Au, U, etc. • A compound is made up of two or more elements in fixed proportions, and can be broken down into simpler substances. Prentice Hall © 2005 Chapter One General Chemistry 4th edition, Hill, Petrucci, McCreary, Perry 49 Classifying Matter • A mixture does not have a fixed composition. • A homogeneous mixture has the same composition throughout, though the composition of different homogeneous mixtures may vary. – Soda pop, salt water, 14K gold, and many plastics are homogeneous mixtures. – 10K gold and 14K gold have different compositions but both are homogeneous. • A heterogeneous mixture varies in composition and/or properties from one part of the mixture to another. – Adhesive tape, CD, pen, battery, chair, and people are examples of heterogeneous mixtures. Prentice Hall © 2005 General Chemistry 4th edition, Hill, Petrucci, McCreary, Perry Chapter One The Organization of Matter Copyright © Houghton Mifflin Company. All rights reserved. 1–39 Phase Differences Solid – definite volume and shape; particles packed in fixed positions. Liquid – definite volume but indefinite shape; particles close together but not in fixed positions Gas – neither definite volume nor definite shape; particles are at great distances from one another Plasma – high temperature, ionized phase of matter as found on the sun. Properties of Matter Extensive properties depend on the amount of matter that is present. Volume Mass Energy Content (think Calories!) Intensive properties do not depend on the amount of matter present. Melting point Boiling point Density Separation of a Mixture The constituents of the mixture retain their identity and may be separated by physical means. Separation of a Mixture The components of dyes such as ink may be separated by paper chromatography. Figure 1.15a A Line of the Mixture to be Separated is Placed at One End of a Sheet Copyright © Houghton Mifflin Company. All rights reserved. 1– Figure 1.15b The Paper Acts as a Wick to Draw up the Liquid Copyright © Houghton Mifflin Company. All rights reserved. 1– Figure 1.15c Component with the Weakest Attraction for the Paper Travels Faster Copyright © Houghton Mifflin Company. All rights reserved. 1– Separation of a Mixture by Distillation Separation of a Compound The Electrolysis of water Compounds must be separated by chemical means. With the application of electricity, water can be separated into its elements Reactant Products Water Hydrogen + Oxygen 2 H2O 2 H2 + O2 • Sketch a magnified view (showing atoms/molecules) of each of the following: – a heterogeneous mixture of two different compounds. – a homogeneous mixture of an element and a compound. Copyright © Houghton Mifflin Company. All rights reserved. 1–43