CHEMISTRY IS LARGELY A QUANTITATIVE SCIENCE Theories and ideas are tested by measurement Measurements are usually quantitative – have numbers Science is built on a foundation of mathematics. In recording measurements, it is necessary to understand 1. SIGNIFICANCE of numbers 2. importance of UNITS. Learning Objectives about Units 1. Understand importance of units in measurement 2. Identify common “metric” units 3. Apply common metric prefixes 4. Use simple unit conversions 5. Perform simple density calculations Scientific method and experiment Hypothesis proposes relationship between sweetness and size of oranges Experiment tests hypothesis with measurement Systems of measurements: the “old” English System - what the United States uses today derived from the 'Kings" feet (Old England). Also known as the United States Customary System (USCS) Units 1 foot (“big feet") 1 inch (knuckle) 1 yard (King Henry I - nose to thumb) System Internationale (S.I.): the “new” The creation of the decimal Metric System at the time of the French Revolution and the creation of two platinum standards representing the meter and the kilogram was the first step in the development of the present International System of Units. Science has adopted the S.I. When we say “metric” we mean S.I. Know one’s units Not only inexperienced chemistry students can be confused by units Whoops! Time waits for no one Prefixes Remember these: case is important – compare M and m Mega- (M) 1,000,000 kilo- (k) 1,000 deci- (d) 1/10 centi- (c) 1/100 milli- (m) 1/1,000 micro- () 1/1,000,000 nano – (n) 1/1,000,000,000 106 103 10-1 10-2 10-3 10-6 10-9 The seven fundamental units of measurement Physical property Length Mass Time Name of unit meter kilogram second Symbol m kg s Electrical current ampere A Temperature kelvin K Luminous intensity candela Cd Amount of substance mole mol Unit summary Length: meter (m) Length is fundamental unit. In metric system, meter is standard unit. Original physical standard meter is kept in Paris. Modern definition: “Length of path travelled by light in vacuum during a time interval of 1/299 792 458 of a second” It equals 39.37 inches. 1m = 100 cm then 1 inch = 2.54 cm. Comparisons: centimeter - width of your fingernail kilometer - 0.60 miles millimeter - thickness of a dime Mass: kilogram (kg) Mass is fundamental unit; it measures quantity of matter present. Although mass and weight are used interchangeably in conversation, mass and weight have different meanings. Weight includes effect of gravity on mass. In a space capsule, your weight would be zero (absence of gravity) but your mass is same as on earth. Standard unit of mass is kilogram (kg). Conversions factors: 1 pound = 454 g 2.2 pounds (lb) = 1 kilogram (kg) 1 gram (g) = 1000 milligrams (mg) or 1 mg = 0.001 g 1 kilogram (kg) = 1000 grams (g) or 1 g = 0.001 kg Volume (two common units in S.I.) Volume is derived unit (using length units). It measures space. Standard unit of measurement is meter cubed (m3) or centimeter cubed (cm3). Note: In chemistry, standard unit of volume for liquid is the liter (L) – not strictly S.I. The liter is similar to a quart in the English system. Conversion factors: 1 liter (L) = 1.06 quarts (qt) 1 quart (qt) = 0.946 liters (L) 1 liter (L) = 1000 milliliters (mL) 1 mL = 0.001 L 1 mL = 20 drops 1 mL = 1 cm3 (or 1 C.C.) Relationship between cm3 and mL 1 L = 1 dm3; 1 dm = 10 cm, 1 dm3 = 103cm3, 1 mL = 1 cm3 Derived units Derived units can be resolved into combinations of fundamental units Area and volume involve only the units of length Most involve combinations of different units Quantity Units Area m2 Volume m3 Density kg/m3 Speed m/s Force kg m/s2 (newton N) Pressure kg/(m s2) (pascal Pa) Energy kg m2/s2 (joule J) Dimensions and relations between units It is important to keep track of dimensions in derived units when making conversions: 1 cm = 10 mm 1 cm2 = 10 x 10 = 100 mm2 1 cm3 = 10 x 10 x 10 = 1,000 mm3 Conversion factors and unit factors Making conversions between different units is very important Always keep track of units in calculation Conversion factor: 1000 mg = 1 g Unit factors 1g 1 1000mg 1000mg 1 1g There are two unit factors for any conversion Unit factors at work How many grams are there in 2680 mg of sucrose? Conversion factor: 1 000 mg = 1 g 1g Unit factor 1 1000mg ? g = amount in mg x unit factor 1g ? g 2680mg x 1000mg Unit factor has value of 1 – no change in value Unit factor causes old units to cancel 1g ? g 2680 x 2.680 g 1000 Handy conversions Working with unit conversions Density Mass divided by volume Units are: g/cm3(solid) g/mL (liquid) kg/m3 or g/L(gas) Density and temperature In most cases, density decreases with temperature. (Why is that?) Water provides a critical exception to the rule
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