PreAP Chemistry Chapter 2 Notes 2.1 Scientific Method The Scientific Method is a logical approach to solving problems by observing and collecting ____________________, formulating hypotheses, testing hypotheses, and formulating theories that are supported by data. There are two kinds of data that can be observed and collected: Qualitative and Quantitative. ____________________data is data about qualities, like appearance and behavior. ____________________data is data about quantities, like mass, density, and other numerical amounts. A ____________________is based on previously collected data and is an attempt to ____________________the data, as a testable prediction; if A, then B. (It may not necessarily contain the words “if” and “then”). A hypothesis is tested with an ____________________. In an experiment, usually the affect of one variable on another is tested. The variable that is being controlled directly by the experimenter is the ____________________variable. The independent variable should then have an affect on the variable being tested, called the ____________________variable. Often there are additional variables that can be involved in an experiment, so care should be taken to be sure that these are held ____________________. In addition, to judge if the independent variable actually did affect the dependent variable and nothing else, a ____________________situation should be used. This could be a separate specimen to which the independent variable is purposely held constant or is in the ‘usual’ state, or could be a separate ____________________of the same experiment, during which the independent variable is held constant or in the ‘usual’ state.. If a hypothesis is not disproved after many experiments to test it, then the hypothesis is considered a ____________________, like gravity or evolution. 2.2 Units of Measurement Horses are measured in ____________________. This used to literally mean how many hand widths to go down the side of the horse. For someone with small hands their horses will seem bigger than someone with big hands. To avoid these issues in science, scientists have adopted SI Units. (SI = Système International, French for International System.) These base units have been agreed on by the scientific community and will be used in this class. Quantity Length Mass Volume Time Temperature Amount of Substance Electric Current Quanitity Symbol (in equations) Base Unit Name l m V (uppercase) t T (uppercase) n meter kilogram liter second Kelvin mole Abbreviation (to use as a label on numbers) m kg L (uppercase) s K (uppercase, no “°”) mol I (uppercase) ampere A (uppercase) ____________________is a quantity of matter and is constant. Do not confuse it with weight! Astronauts on the moon have less weight, but not less mass (less mass would mean they were shrinking!) 1 kilogram is the same mass as 2.204622621849 pounds (but we'll use 2.20 lbs for this course) ____________________is the distance between two points. 1 inch = 2.54 centimeters (exactly) ____________________is the measurement of heat intensity (more about this later). 1 Kelvin is the same magnitude as 1 °C 0 ºC = 273.15 K A ____________________is a count of something, like a dozen. By definition this is an exact count and not a measurement, but of course no one can count six hundred two sextillion two hundred fourteen quintillion one hundred and fifty quadrillion, so the number is determined mathematically. The best calculation is currently 602,214,150,000,000,000,000,000. Most often for this course the rounded off number below will be used. 1 mole = ____________________ “particles” or things The beauty of the SI units is that almost all of them can be scaled up or down by factors of ten with relative ease. Often once this is done a new ____________________is added to base unit to indicate the new unit of measurement. You will need to understand and be able to use these prefixes for this course. Be sure to note which abbreviations use lowercase and uppercase letters! This distinction is very important. For example m and M are two different orders of magnitude. Prefix and Symbol Mega (M) Kilo (k) Hecto (h) Deka (da or dk) Base Unit (m, L, g) Deci (d) Centi (c) Milli (m) Micro (µ) Nano (n) Pico (p) Meaning 1,000,000 1,000 100 10 1 0.1 0.01 0.001 0.000001 0.000000001 0.000000000001 one-tenth one-hundredth one-thousandth one-millionth one-billionth one-trillionth Exponetial Factor 106 103 102 101 1 10-1 10-2 10-3 10-6 10-9 10-12 ____________________units are ‘new’ units that are made by combining two or more of the standard units together. Below are several derived units, how they are derived, and the usual SI units used with each. There are many, many more derived units. Derived Unit Origin mass per unit volume Usual SI Units g/m3 = g m-3 or g/cm3 = g cm-3 or g/L = g L-1 or g/mL = g mL-3 Density Volume Pressure length × width × height Force per unit area L or m3 or cm3 Pascals (Pa) ____________________ ____________________ are a ratio derived from the equality between two different units that can be used to convert from one unit to the other. For example: 4 quarters 1 dollar or 1 dollar 4 quarters or even 0.25 dollars 1 quarter Conversion factors allow a quantity measured one way to be converted into a different way of measuring (although the overall amount should never change). Sometimes several conversion factors are used in the same calculation, but it is important to note that units in the ____________________will cancel with identical units in the ____________________. This process is called the factor label method or ____________________ ____________________. For example: How many quarters are in 6.53 dollars? 6.53 dollars How many centimeters are in 2.34 miles? 4 quarters 1 dollar = 26.12 quarters 2.34 miles 5280 feet 1 mile 12 inches 1 foot 2.54 cm 1 inch = 376,586.496 cm Practice Questions. 1. Convert 65.22 mg to g ______________________________________________________ 2. Convert 0.84 m to cm ______________________________________________________ 3. Convert 462 mL to L ______________________________________________________ 4. Convert 0.576 hg to kg ______________________________________________________ 5. Convert 31.5 cg to mg ______________________________________________________ 6. Convert 0.761 km to cm ______________________________________________________ 7. Convert 0.143 hours to seconds _________________________________________________ 2.3 Using Scientific Measurements When scientists make measurements, there is usually a little discrepancy in the measurements due to many reasons, often human error. For example, the same person could measure a string three different times and get three, slightly-different measurements. For this reason, when making measurements or reading someone else’s measurements it is important to consider the accuracy and precision of those measurements. ____________________refers to how close the measurement is to the real or accepted value. ____________________is how close a group of measurements of the same thing are to each other. The precision of a series of measurements is usually easy to determine just by looking at them, but this is not the case with the accuracy. To find the level of accuracy of a measurement, the ____________________ ____________________ is calculated. To make the calculation the accepted value (the value you were supposed to get) and the value you actually did get during the experiment are needed. Then use this equation: Percent error = Accepted value – Experimental value Accepted Value × 100 The label to your percent error is the “%” sign. For example; An experiment finds the density of lead to be 10.95 g/cm3. The textbooks states the density should be 11.34 g/cm3. What was the percent error for this experiment? Percent error = 11.34 g/cm3 – 10.95 g/cm3 11.34 g/cm3 × 100 = 3.439 % Practice Questions: 1. Sara’s lab shows the atomic mass of aluminum to be 28.9. What is her percent error if the accepted value is 27.0? 2. What is the percent error in a measurement of the boiling point of bromine if the textbook value is 59.35 °C and the lab value is 40.6 °C?