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Unit 1: Fundamentals of Chemistry CHEMISTRY: the science of materials, their composition and structure, and the changes they undergo. Six Common Branches of Chemistry Physical chemistry -Theoretical chem, the physics contained in chem. Analytical chemistry - The Best Branch! Measurement and analysis of materials. Organic chemistry - Study of covalent carbon compounds. Inorganic chemistry - Study of all other elements and compounds. Biochemistry - Chemical basis of life. Nuclear chemistry -Properties and reactions of atomic nuclei. Foundation of Chemistry To study chemical systems and the CHANGES they undergo. Initial state →Final State A + B → AB All of the principles of chemistry are based on the study of chemical reactions REACTION: a chemical change in which a new substance is formed. NaCl + AgOH → AgCl + NaOH Left side called the REACTANTS Right side called the PRODUCTS An important objective of science: Relate properties of Large samples of matter (called macroscopic) to the most basic particles of matter (microscopic) Ex: What is happening when water boils? Scientific Method – used all the time Step 1: Making Observations Two types of Observations: QUALITATIVE: a descriptive term. “Your shirt is red,” “The solution was bubbling and was pink”, “The water is a liquid at room temperature.” QUANTITATIVE: a quantitative observation is called a MEASUREMENT. “The pressure was 1 atm” Scientific Method Step 2: Looking for patterns in the observations Usually results in the formulation of a natural law NATURAL LAW: a statement that expresses generally observed behavior. A natural law is often expressed as a math formula Ideal Gas Law: pV = nRT Scientific Method Step 3: Formulating Theories THEORY: May be called a model. It consists of a set of assumptions put forth to explain the observations. Can be considered as a hypothesis. REMEMBER: an observation is a FACT. A law is a statement of observations. A theory is an interpretation or explanation (can be wrong!!) Scientific Method Step 4: Experiment to Test Theories Experiments may and usually do lead to modified or changed theories. Scientific Method Observations ↓ LAW ↓ Theory ← Modify Theory ↓ ↗ Test Theory/Experiment Measurements: Think of a whole number greater than 2 but less than 4. But, do not think of a graphical or verbal representation of that number! Units of Measurement A MEASUREMENT consists of two parts: a NUMBER and a UNIT. Both must be present. A number without units is meaningless. There are two types of units. FUNDAMENTAL UNITS These are units upon which all other units are based. METER – length GRAM – measures mass. Mass – quantity of matter that a body possesses. WEIGHT – measure of the earth's gravitational field. Remember: your mass is FIXED but your weight varies depending on your position from the center of the earth FUNDAMENTAL UNITS SECOND – measures time (based on the vibration of Cesium-133) MOLE – measures the number of particles and is equal to 6.02 x 10 to the 23rd. KELVIN – named after Lord Kelvin. Kelvin temperature scale is based on absolute zero. COULOMB – a quantity of electrical charge DERIVED UNITS Derived units are units based on fundamental units. There are lots and lots of derived units. Two examples: VOLUME – 1 mL = 1 cubic centimeter = 1 gram (if water) 1 Liter = 1 cubic decimeter 1 Liter – 1000 cubic centimeters DERIVED UNITS Density is another derived unit based on mass and volume Density = Mass/Volume Units for Density are grams/mL UNCERTAINTY IN MEASUREMENT All measurements have some degree of uncertainty. How much do you weigh? 5 different honors chemistry students massed a sample of iron: student 1 = 16.18 g student 2 = 16.15 g student 3 = 16.19 g student 4 = 16.16 g student 5 = 16.15 g Which decimal place do you think was likely to be rounded? Most exact?? Least exact?? Significant Figures: certain digits and the first uncertain digit. (the real reason we need sig figs is to help us figure out how precisely a measurement was made) Sig Figs are important in all fields of science.. Measuring the sides of a square: area = (side)(side) area = (16.4 cm) (22.8 cm) area = 373.92 cm2 Look at the answer the calculator gives us. It is IMPOSSIBLE to have an answer that is MORE accurate than our measurements – thus the need for sig figs in the physical sciences. (for a plain orange pumpkin to become a golden carriage) A semi is weighed to be 42,000 lbs (with driver). The driver picks up a 5 lb cat from the side of the road. What is the new total weight of the truck? The rules for SigFigs give a method for scientists to indicate how precisely a value is known. Rules for Counting Sig Figs 1. Non Zero Integers Non zero integers always count as significant figures ex: 3.455 has 4 sig figs 2. Zeros There are THREE (really 4) rules for Zeros: 1. LEADING ZEROS - are zeros that precede all of the non-zero digits. They DO NOT count as sig figs. Note that leading zeros are always in a very small number- Less than 1. ie. The number 0.000456 has 3 sig figs. The leading zeros are not significant and are only there to simply indicate the position of the decimal point. 2. CAPTIVE ZEROS (OR SANDWICHED ZEROS) – are zeros between two non-zero digits. They are ALWAYS significant. ie. the number 1.008 has FOUR sig figs. 3. TRAILING ZEROS – these are zeros at the right end of the number. There are two rules for trailing zeros: a. They ARE significant if the number has a decimal point. b. They are NOT significant if there is NO decimal point. The number 100 has only 1 sig fig The number 1.00 x 102 has three sig figs The number 2306.00 has six sig figs Now you have fun and practice!! Determine the # of sig figs in: 236 678.09 1.008 0.000056709 8,900 0.00509080700 Rules for Math and Sig Figs 1. Addition/Subtraction The result has the same number of decimal places as the least precise measurement. HINT: Count Decimal Places. ex. 12.11 18.0 ← here is the limiting term-only 1 dec. place + 1.013 31.123 But the CORRECT answer with one decimal place would be 31.1 Essentially, you cannot add or subtract a known digit to or from an unknown digit! 2. Multiplication/Division The number of sig figs in the product/quotient is the same as the number of sig figs in the LEAST precise measurement. HINT: count the sig figs ie. (4.56)(1.4) = 6.38 …but you can’t really have an answer with MORE sig figs than the number with the least…so the CORRECTED answer would be 6.4. (3 sig figs)(2 sig figs) = 2 sig figs Now YOU get to have fun!!! Give the answers to the correct # of sig figs 1. 2.33 + 4.5 + 8.00 + 8 = 2. 9.010 ÷ 3.7 = 3. 9.0 – 3.888 = 4. (5.66)(1.00)(2.00)(0.0006) = 5. (7.24+1.5) (9.023) = Precision vs. Accuracy These concepts are often confused!!! ACCURACY – denotes the nearness of a measurement to its accepted value. actual beaker mass = 19.0 grams Your mass = 19.9 g, 24.1 g, and 13.6 g. How was this student's accuracy????? PRECISION An agreement between the numerical values of a set of measurements that have been made the same way (think CONSISTENCY!!) Ex: Beaker mass = 19.0 g Your mass = 14.1 g, 14.0 g, and 14.1 g How was your precision? How was your accuracy? Dart example Percentage Error Formula % error = |experimental - actual| actual x 100 PERCENTAGE ERROR A student was calculating the % of lead (Pb) in the water at Xenia High School in the drinking fountains. She came up with the following values: 16.12%, 16.14%, 16.12% and 16.13%. The average value was 16.13%. The correct value according to my scientific calculations was 16.49%. What can be said about the accuracy? What can be said about the precision? Calculate the % error. SCIENTIFIC NOTATION Also called exponential notation Move the decimal to the left – exponent is larger and POSITIVE!! For example the speed of light is 30,000,000,000 cm/sec. Put into scientific notation. Move the decimal to the right – exponent is smaller and negative. For example, put 0.000496 m into scientific notation. To convert a number to scientific notation: 1. Write only the sig figs. ex: 103,000,000 write 103 2. Put in a decimal point so there is only 1 digit to the left ex: 1.03 3. Count the number of spaces that the decimal point moved from its starting point. Use this number as the exponent. ex: 1.03 x 108 4. If the original number was a decimal (less than 1, greater than 0) then the exponent is negative. If the original number was greater than 1 then the exponent is positive. Fun with Scientific Notation 402,000 = 0.000701 = 100.2 = (9.24 x 1016 )(6.12 x 1014 ) = 1.96 x 10-8 /2.47 x 10-4 = DIMENSIONAL ANALYSIS You will need to become expert at this. An exciting and fun way of working problems by using the UNITS to help us along the way. Defined: a method of changing units by using conversion factors. (use the metric/English or English/metric charts) A conversion factor can be any mathematical relationship between two units. Ex: 12 in / 1 ft 45 miles / 1 hr 30 days / 1 month 2.65 g / 1 mL 27 students / 16 desks 1. Set up a grid. What you are given goes to the topleft. Split top and bottom if 2 units! 2. Find conversion factor (or factors) to convert between given units and needed units. 3. Insert conversion factors into the grid so that units cancel (top to bottom) so that only needed units are left. Doing conversions using Dimensional Analysis: Convert 14 Kg to lbs: Convert 16.9 in to cm: Convert 8 years to seconds: Convert 3 gallons to mL Convert 8 mph to cm/second Convert 4.66 in2 to cm2 Convert 98.77 yd3 to m3 Convert 4.5 m to Km Convert 0.455 mL to cL TEMPERATURE Three systems: Celsius, Kelvin, Fahrenheit For Water: BP = 212ºF, 100ºC, 373K For Water: FP = 32ºF, 0ºC, 273 K Special Formulas °C = (°F – 32)5/9 °F = (°C X 9/5) + 32 K = °C + 273 °C = K – 273 OR, my Favorite: (C+40)9/5 = (F+40) Normal body temperature is 98.6ºF. Convert to ºC and Kelvin. Liquid nitrogen has a boiling point of 77K. Convert this to ºF. DENSITY Density is defined as the mass of a substance per unit volume. Density = M/V This formula can also be solved for mass and volume. M= V= OR!!! Use dimensional analysis!!! The mass of Al is 14.2 g and the volume is 6.9 mL. Find the density Calculate the % error (the actual density is 2.7 g/mL) The density of Fe is 7.86 g/mL. You have 29 grams of Fe. How many mls will it occupy? Percentage Problems Percentage is part/whole x 100 Given: 82 g of a metallic powder. It consists of 31 g of Zn, 3 g Ag, and 48 g of Sn. Find the % of each. 1.0 lb of salt is dissolved in 1.0 gallon of water. What is the density of the solution? What percent of the solution is salt? 1.0 lb of salt is dissolved in 1.0 gallon of water. What is the density of the solution? What percent of the solution is salt? Flow Chart of Matter MATTER Pure Substance Heterogeneous Mixture Mixtures Homogeneous Mixture Pure Substance Elements Compound Atoms Nucleus Electrons Neutrons Protons Quarks Quarks SEPARATION METHODS There are Nine (9) ways to separate mixtures in the lab. Some of these are based on physical properties and some of these are based on chemical properties. 1. FILTRATION Separates based on insoluble/soluble properties FILTRATE: the soluble substance or liquid that passes through the filter paper RESIDUE: the insoluble chunky “stuff” that remains in the filter paper. Filtration is a great way to separate a SUSPENSION: where the particles are larger than molecular size in the liquid. SOLUBILITY Solubility in water is a physical property SOLUBLE: dissolves INSOLUBLE: remains undissolved 2. DECANTING Decanting is used to separate a coarse suspension of liquid and dense, insoluble solids. Decanting simply means “to pour off” Yes...even you can do this separation technique! 3. SIMPLE DISTILLATION Distillation is used to separate solid solute from liquid solvent Distillation is used to make distilled water and many different alcohol products. Distillation is based on a phase difference (the solid remains in the original flask and the liquid boils, evaporates, then condenses and drips into a new container in a purified form) 4. Fractional Distillation Used to separate miscible liquids MISCIBLE LIQUIDS – liquids that are soluble in each other (alcohol in water) IMMISCIBLE LIQUIDS- liquids that are NOT soluble in each other (oil in water) Fractional distillation separates based on the boiling points of the liquids 4. Fractional Distillation Example: you have a mixture of two liquids – alcohol and water. Alcohol has a boiling point of 80°C and water has a boiling point of 100°C. The liquids boil off one by one at their boiling point temperatures. Fractional distillation is used in the petroleum industry (petroleum products) Many products come from crude oil: drugs (legal ones of course), cosmetics, kerosene, oil, gas, plastics, etc. Petroleum products based on fossil fuels 5. FRACTIONAL CRYSTALLIZATION Separates based on soluble solids whose solubility differs in hot and cold water Example: solid X is very soluble at all temperatures Solid Y is soluble only in hot water Dissolve both in hot water; cool the water; solid Y comes out of solution because Y is insoluble in cold water. 6. EXTRACTION Uses a device called a SEPARATORY FUNNEL Extraction is used to separate immiscible liquids (like oil and water) IMMISICIBLE LIQUIDS – not soluble in each other MISCIBLE LIQUIDS – liquids that are soluble in each other 7. Chromatography Separates substances by differences in dissolving rates Chromatography is used to separate COLORS and PROTEINS Chromatography is used to do various analysis' of DNA (paternity tests, etc) 8. ELECTROPHORESIS Separates based on the charge of the particles Remember: like charges repel; unlike charges attract Must have an electrical field with positive and negative electrodes in order for electrophoresis to work. 9. CENTRIFUGATION Uses a device called a centrifuge to settle and separate sediments Separates based on the different densities of the particles in the mixture. How would YOU separate the following mixtures? a. flour and water b. sugar solution and sand c. 70% ethanol/water solution d. oil, water and sand e. Mercury and water (Hg is a really heavy metal and is a liquid) f. chlorophyll pigments g. sugar and Kool-Aid