* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download first packet of notes
Bra–ket notation wikipedia , lookup
Abuse of notation wikipedia , lookup
Musical notation wikipedia , lookup
Big O notation wikipedia , lookup
History of mathematical notation wikipedia , lookup
Location arithmetic wikipedia , lookup
Positional notation wikipedia , lookup
INTRODUCTION TO CHEMISTRY WHAT IS CHEMISTRY ? WHAT IS SCIENCE VS TECHNOLOGY ? SCIENCE: TECHNOLOGY: IS "CHEMISTRY" SCIENCE OR TECHNOLOGY ? WHAT SKILLS DO YOU NEED TO SUCCEED? 1. 2. 3. 4. The Scientific Method Units and Conversions Safety and Laboratory Equipment Unit 1 Chemistry Tool Box (Foundations of Chemistry) Exponential Notation Classification of Matter Significant Digits and Measurement Precision, Accuracy and % Error Algebraic Manipulations Algebraic Manipulations A. You can add, subtract, multiply or divide as long as you carry out the operation on both sides of the equation. For example, solve for "x" (i.e., get "x" by itself) for the following: 2x + 4 = 8 3xz = yw First step, subtract 4: First step, divide by z: 2x + 4 = 8 3xz = yw z z 2x + 4 - 4 = 8 - 4 3x = yw z 2x = 4 Second step, divide by 3: Second step, divide by 2: 2x = 4 2x = 4 2 2 x = 2 3x = yw z 3x = yw 3 3z x = yw 3z Algebra Manipulation Practice - Solve for x. Show your work and draw a box around your answer. 1. 2x + 8 = 0 2. 3. 4(4x + 3) = - 4 4. 5. 3x - 1 = 2 4 6. 7. 1x + 1x = 5 2 3 4x + 8 = 4 3 4 3x = 6 x + 9 - 4x = 6 5 B. You must know how to compute using a four-function calculator. The rules are simple: 1. All numbers in the numerator (numbers on top of line) are multiplied together. 2. Each number in the denominator (numbers on bottom of line) are divided into the numerator. 3. As an example, to compute the following: 45 x 96 18 x 4 = ? Multiply 45 by 96, divide the result (4320) by 18 (result is 240), and finally, divide the 240 by 4 to get 60 [45 x 96 18 4 = 60]. Calculator Practice – Using a 4 Function Calculator, Find the Answer 1. 92 x 42 14 = 3. 31 x 62 feet = 89 x 2 2. 16 cm x 8 cm x 6 cm = 9x2x3 4. 14 x 1000 x 10 100 x 100 x 10 = C. Simplify, simplify, simplify. For example, cancel any numbers or units that are both in the numerator or the denominator of an expression. In other words, units cancel just like variables or numbers in an algebraic equation. 36 eggs X 1 dozen 12 eggs = 3 dozen For simplicity, chemists often omit the parenthesis and the multiplication sign. For example: 36 eggs 1 dozen 12 eggs = 3 dozen Simplification Practice – Simplify the Following Expressions 1. 2 (12 – 15d) = 3 3. 427 cm __1 m__ 100 cm 1000 mm 1m 5. 12 a b2 c 2abc 7. (2 cm) (4 cm) (6 cm) = = = 2. 427 cm __1 m__ 100 cm 4. 29 mm __1 m__ 1000 mm 6. (2a) (4a) (6a) = 8. 3a 2b 100b 2c _1d_ 10a = 100 cm 1m = _1 inch 2.54 cm = Scientific Notation A. Scientific notation is a shorthand for clumsy numbers. Example: 602,200,000,000,000,000,000,000 vs. 6.022 x 1023 B. Procedure involves: 1. For numbers > 10, move decimal to the left to get a positive exponent. 48,002 meters = 4.8002 x 104 meters 2. For numbers <1, move decimal to the right to get a negative exponent. 0.000476 kilograms = 4.76 x 10-4 kilograms 3. Convert the numbers to scientific notation or back to expanded (“normal”) numbers: 520 feet 1.95 x 105 0.968 meters 2.3 x 10-7 5,601 seconds 4.67 x 103 0.0043 grams 3.564 x 10-2 C. To multiply numbers expressed in scientific notation, multiply the factors and add the exponents. For example: (5.0 x 103 ) (3.0 x 10 7) = 15 x 10 (7 + 3) = 15 x 1010 = 1.5 x 10 11 D. To divide numbers expressed in scientific notation, divide the factors and subtract the exponents. 16.0 x 1012 = 4.0 x 10 (12 4.0 x 103 Exponential Notation Practice For example: 1. 10.2 x 10-6 3.6 x 103 3. 6 x 104 x 3 x 10-2 2 x 103 = = - 3) = 4.0 x 109 2. 5.0 x 103 x 3.0 x 10 7 = 4. 5 x 103 x 4 x 105 = 1.0 x 10-3 Units and Conversions--Dimensional Analysis A. What is it? A process for converting a measurement (such as a length in meters) to another unit (such as a length in centimeters) using conversion factors. B. What do you need to know? Knowledge of SCIENTIFIC UNITS and CONVERSION FACTORS!! 1. Scientific Units are the units used by most scientists to make measurements in the laboratory. They include: Quantity Measured Length Volume Mass Time Temperature Unit meter liter gram sec Kelvin Unit Symbol m L g s K 2. Examples of Conversion Factors include: 12 eggs = 1 dozen 100 centimeters = 1 meter 3. The Good News: SI units (ones used in scientific measurement) are based on the use of prefixes with specific definitions. These are the ones you need to know! Prefix kilo centi milli micro Symbol k c m µ 4. So, for length which is measured in meters (m) 1 km = 1000 m 1000 mm = 1 m 100 cm = 1m 1,000,000 μm = 1m 5. So, for volume which is measured in liters (L) 1 kL = 1000 L 1000 mL = 1L 100 cL = 1L 1,000,000 μL = 1L 6. So, for mass which is measured in grams (g) 1 kg = 1000 g 1000 mg = 1 g 100 cg = 1g 1,000,000 μg = 1 g 7. So, for time which is measured in seconds (s) 1 ks = 1000 s 1000 ms = 1 s 100 cs = 1 s 1,000,000 μs = 1 s Practice the Following Conversions: 1. 454 kg g Since 1 kg = 1000g, write the equivalence as a fraction putting the "kg part" of the conversion factor on the "bottom" as the denominator. Work shown below: 454 kg 1000g = 454000 g = 4.54 x 10 5 g 1 kg 2. 0.21 cm 3. 14 µs min 4. 7.4 mg kg m 8. So, for temperature the conversion involves the definition: K = ºC + 273 and ºC = K - 273 100 º C + 273 = 373 K and 40 K -273 K = -233 º C