Chapter 1: Matter and Measurement Scientific Method: Observation => hypothesis ↓ Supports hypothesis ← experimentation → discredits hypothesis → rejected ↓ ↓ More supportive experiments ←----------------- modify hypothesis │ Theory ←---------┴------ (measurable observations stand test of time)-----→ Law Chemistry- The study of matter, its transformations and the energy changes that accompany the transformations. Why study chemistry? 1. Improve health(helpful pharmaceutical drugs, i.e. aspirin, chemicals that fight diseases). O ll O-C-CH3 CO2H ASPIRIN 2. Enhance food products(i.e., better fertilizers for more abundance of crops; make food that are less fattening like sugar substitutes). 3. Protection from and for the environment(synthetic polymers for better clothes, better houses; using chemicals to decontaminate natural resources, i.e. chelating chemicals. 4. Improve living conveniences(plastics, better metal composites for making lighter but stronger cars). Matter- is the physical material of the universe (and beyond). It is anything that has mass and occupies space. There are three states (or phases) of matter: solid, liquid and gas. State of Matter Solid Liquid Gas Characteristics of Matter Volume Entropy(disorder) Shape definite Low(very ordered) definite definite moderate indefinite indefinite Very high indefinite Compressability Low(dense) Low(dense) High(low density) Matter can be pure or a mixture. Pure Matter(Substance)- is matter that has distinct properties and invariant composition from one sample to another. Atom- is the building block of matter. Two Types of Pure Matter (Substance) Elements Can not be chemically decomposed into simpler substances; on the molecular level, each element is composed of only one kind of atom. Examples are members of the periodic table, i.e., Hydrogen gas, Helium gas, Oxygen gas, Iron metal, etc. Compounds Can be chemically decomposed into simpler substances; they are composed of two or more different kinds of atoms. Examples are HI (hydroiodic acid), H2O(water), NaCl (table salt), H2SO4 Molecule- Substance made up of at least two atoms chemically bonded. Not all molecules are compounds; but all compounds are molecules. Mixture- Comprises two or more different kinds of pure substances; yet each substance retains its chemical identity throughout the mixture. Two Types of Mixtures Homogeneous Mixture(Solutions) Has a high level of uniformity (same phase) throughout the mixture. Examples are table salt dissolved in water, alcohol and water mix, sugar water or soda pop, any unreactive mixture of gases like air (N2 + O2 + CO2), Chemical solutions, Metal alloys(bronze = copper + tin, brass = copper + zinc. Heterogeneous Mixture Lacks uniformity throughout the mixture (different phases). Examples are mixture of salt and black pepper, ice water (solid and liquid phases can be seen), oil and water mix. Because each substance in a mixture retains its identity and its properties, we can separate the mixed substances from one another by taking advantage of their retained properties. For example, a heterogeneous mixture of sand and salt can be separated by dissolving the mixture in water and decanting the salt water homogeneous mixture from the sand (solubility property). Then we can separate the salt from the water by boiling off the water (boiling point property). Properties of Matter Physical Properties- are properties one can measure without destroying the chemical identity or composition of pure matter. Examples are boiling point, melting point, color, odor, density. Chemical Properties- are properties that are determined by a chemical reaction of the matter. Examples are flammability, acidity and basicity, aromaticity of a hydrocarbon. Intensive Properties- do not depend on the amount of substance being studied. Examples are boiling point, melting point, density, color , odor. Extensive Properties- do depend on the the amount of substance studied. Examples are mass, volume, size, enthalpy. Physical Changes of Matter- appearance changes but chemical composition does not. For example, all changes of state(solid to liquid, liquid to gas, solid to gas) are physical changes of matter. Chemical changes of Matter- chemical composition changes; a reaction takes place and a new product is formed. Such changes are indicated by burning or combustion, oxidation, evolution of gas, formation of a precipitate. Measurements Type of Measure Mass Length Volume Time Temperature Amt of substance Electric Current Energy Pressure System Int.(SI) English Units Kilogram(kg) Pound(lb) Meter(m) Yard(yd) m3 / Liter(L) Second(s) Kelvin(K) Mole Ampere Joule Pascal Quart(qt) Second(s) Farenheit(F) Mole Ampere BTU Atmosphere Conversion Factor 1kg = 2.2lbs(or 453.6g = 1lb) 1m = 1.09yds(or 2.54cm = 1in exactly) 1L = 1.06qt same K=5/9(F-32)+273 same same 9.5 x 10-4 btu/J 1 atm/ 1.013 x 105 Pa Prefixes Based on a standard unit like the meter, Kilo means 1000, mili means 1000th, deka means 10, deci 10th, hecto means 100, centi means 100th. Other prefixes to know: Prefix Giga Mega nano pico femto Magnitude 109 106 10-9 10-12 10-15 Temperature- the measure of coldness or hotness(or the measure of the average kinetic energy of molecules). We use a thermometer to measure temperature. Temperature units are Kelvin, Celcius and Farenheit. Conversions to know : C = 5/9(F-32) K = C + 273 K = 5/9(F-32) + 273 Volume- is the measure of the amount of space matter occupies. Units for volume are liter, mililiter(1000th of a liter), cubic centimeter(cc). 1 liter = 1 decimeter cubed = (0.1m)3 = 1000th meter cubed 1 decimeter = 10 centimeter = 10cm Therefore, 1 liter = 1 decimter cubed = (10cm)3 = 1000(cm)3 = 1000mL Density- mass of substance divided by its volume, usually in units of grams per mililiter (g/mL) or grams per cubic centimeter(g/cc). The density of water is about 1g/mL Precision- is a measure of how closely your several quantitative measurements of a sample agree (reproducibility) and it is usually measured as standard deviation. ( - Xi)/n; = average; Xi = each measurement; n = number of measurements. Ex. 10.01mL, 10.02mL,10.04mL, 10.05mL => Xi, χ = 10.03mL, n = 4 S.D. = │10.03-10.01│ + │10.03-10.02│+ │10.03-10.04│+ │10.03-10.05│= 0.02 4 Χ ± S.D. = 10.03mL ± 0.02mL Accuracy- is a measure of how closely your several measurements agree with the true or theoretical value and it is usually measured as percent yield (% yield). % yield = (Yi/Y) 100; Yi = experimental value; Y = Theoretical value. If a chemical reaction yields 56g of product and theoretical yield is 62g, then % yield is 56.00g/62.00g x 100 = 90.32% Significant Figures To avoid ambiguity in numerical values reported by different researchers who perform the same experiment, scientists employ the practice of significant figures. This simply means determining which zeros, if any, are important (significant) in an experimentally obtained numerical value. 1. All nonzero digits are always significant. 2. Zeros between nonzero digits are always significant.(i.e. 1005, 0.200005, 0.002005) 3. Assume a reported value X with a decimal point. If X < 0.1, the zero(s) at the beginning of the number are not significant(i.e. 0.002, 0.00003, 0.00000004 ). 4. If X < 1, the zeros that come after the nonzero digits are significant(i.e. 0.900, 0.200000). 5. Zeros sandwiched between a nonzero digit on the left and a decimal point on the right are always significant (i.e. 6000.) 6. When a number ends in zeros but contains no decimal point, the zeros may or may not be significant. This ambiguity can be remedied by using scientific notation and the judgement of the reader. For example the value 103000g can be written these ways: 1.03 105 g (3 sig. Fig.) 1.030 105 g (4 sig. Fig.) Rounding Off to Significant Figures If the left most digit to be dropped is less than 5, the preceeding number is left unchanged. i.e. round off 7.248 to 2 significant figures. 7.248 7.2 i.e. round off 3.7883974 to 4 significant figures. 3.7883974 3.788 If the leftmost digit to be dropped is 5 or greater, increase the preceeding number by one. i.e. round off 4.735 to 3 significant figure. 4.735 4.74 i.e. round off 2.376 to 2 significant figures. 2.376 2.4 In multiplication and division operations, the result should have the same number of significant figures as the measurement with the least number of significant figures i.e. 6.221cm 5.2cm = 32.3492cm2 2 sig fig. 32cm2 In addition and subtraction, the result can have no more decimal places than the measurement with the fewest decimal places. i.e. 20.4 + 1.322 + 83 = 104.722 The value 83 has the fewest decimal places (it has none). So the resulting value should have no decimal places, 105 Exact Numbers Exact numbers have an infinite number of decimal places. So they are not used to determine the number of decimal places of a resultant value. For example, there 24 students in your class this semester, not 25.1 or 24.5 or 24.99. For example 1000g/1kg is an exact ratio value. The ratio 2.54cm/in. is an exact ratio value. Dimensional Analysis In converting a measurement from metric to English unit(or vice versa), one uses as many conversion factors as is needed in “bookkeeping” set called dimensional analysis. The conversion factor are set up so that the unit one immediately wants to convert to can not be cancelled out. 2.54cm = 1in conversion factor is (2.54cm/1in.) or (1in./2.54cm) i.e convert 8.50in. to centimeters: 8.50 in│2.54 cm = 21.6cm │1 in Convert 23 femtometers to centimeters. 23 fm│1 m │102cm = 2.3 x 10-12 cm. 15 │10 fm │1 m OR 23 fm│ 10-15 m │1 cm = 2.3 x 10-12 cm. │1 fm │10-2 m Density of water is 1g/mL; convert units to ounces per cubic inches(oz/ in3) 1g │1 kg │2.2lbs │16oz │1 mL │ ( 2.54cm)3 = 0.58 oz./in3 1mL│1000g │ 1 kg │1 lb │1(cm)3 │1 in3