Unit 1 Structure of Matter Honors Chemistry I. Measurement- (2.1 -2.3) A. Metric System- developed in 1791 in France during the French Revolution to standardize all measurements. 1. Based on properties of natural objects, size of Earth, weight of water, speed of light, etc. 2. In 1960 an international agreement was reached specifying a particular choice of metric units for use in scientific measurements. These preferred units are called SI base units, after the French Système International d'Unités. 3. Prefixes used to determine magnitude of particular unit. 4. Conversions are all base 10. B. Uncertainty in measurements- all measurements involve a certain amount of error or uncertainty. 1. Due to errors of measuring device or operator error. 2. Uncertainty must be minimized. 3. Precision- how closely grouped a series of measurements are to each other. 4. Accuracy- how close to the actual or accepted value a series of measurements are. Use % error. 5. Percent error- used when you are comparing your result to a known or accepted value. %πππππ = C. D. E. F. |π¦ππ’π πππ π’ππ‘ − ππππππ‘ππ π£πππ’π| × 100 ππππππ‘ππ π£πππ’π Significant Figures- All measurements are approximations—no measuring device can give perfect measurements without experimental uncertainty. Significant figures are important because they tell us how good the data we are using is. Sig. Fig’s. indicate the level of certainty of data Rules: 1. Ignore leading zeros. 2. Ignore trailing zeros, unless they come after a decimal point. 3. Everything else is significant. 4. exact numbers (metric conversions, counting or written numbers) have infinite number of sig. fig’s. Sig. Fig’s. in calculations 1. limited by least accurate measurement 2. x, οΈ: answer has the same number of sig figs as the measurement with the fewest 3. +, ο: result should be equal to the smallest number of decimal places in the original measurements. Conversions (dimensional analysis)- allows one to change from one unit to another. Units are always used in all calculations. They are multiplied, divided, and canceled like any other algebraic quantity. 1. Set up equality in fraction form. 2. The equalities are then lined up sequentially and units used on the top and bottom of neighboring fractions are alternated so that units cancel. 5.00 ππ × 2.54 ππ = 12.7 ππ 1.00 ππ 1 G. How to measure amount of matter- (11.1-11.4) moles are used to measure amount. 1. A mole is a unit used in chemistry to measure amount of atoms, molecules, ions, etc. a. 1 mole = 6.022 x 1023 particles b. Also, 1 mole of atoms has a mass equal to the average mass in grams of an element on the PT. c. Molar mass (MM) is the sum of masses of atoms in a chemical formula. Units are: ο· Al: 27.0 g/mol ο· H2O: 18.0 g/mol d. π π«ππ¦π¬ π¦π¨π₯π πππ π ππ πππππππ‘ ππ 1 πππ ππ ππππ %composition = πππ π ππ 1 πππ ππ ππππ × 100% e. 2. II. π π a. π= b. density of H2O= 1.00 π ππΏ = 1.00 π ππ = 1000 3 π ππ3 Classifying Matter (3.1-3.4) A. B. III. empirical formulas- smallest whole # ratio of elements in a compound. f. molecular formulas- actual ratio of atoms in a compound. g. conversions: moles β grams (use MM and dimensional analysis.) Density- amount of mass in a specific volume Matter can be classified according to it’s state and/or it’s composition. 1. Three states of matter- solid, liquid, gas. a. solid- atoms packed very close in fixed locations. Atoms vibrate, have fixed volume, rigid shape. Can be crystalline or amporphous. b. liquid- packed close, but are free to move relative to each other. Fixed volume, but not shape. c. gas- atoms are very far apart, assume shape and volume of container, compressible. 2. Composition- see diagram. Separation Techniques- matter can be separated based on physical and chemical properties. 1. Filtration- separation based on particle size; heterogeneous mixture containing a solid phase. 2. Distillation- separation based on boiling point; homogenous mixture, aka a solution. 3. Paper/Column Chromotography- separation based on molecule attraction for the stationary phase; components of a solution are separated from each other using the property of differential migration (different rates of flow). Solutions History of the AtomA. John Dalton (1808) proposed his Atomic Theory: 1. Elements made of tiny particles, called atoms 2. Atoms of a given element are identical; the atoms of different elements are different. 3. In chemical reactions, atoms are combined, separated, or rearranged. Atoms cannot be subdivided, created, or destroyed. He assumed that the atom was the ultimate particle. 4. Atoms of one element may combine with atoms of other elements, usually in small whole number ratios, to form compounds. B. J.J. Thomson- In 1897, J.J. Thomson discovered the electron, the first subatomic particle. He also was the first to attempt to incorporate the electron into a structure for the atom. 1. He used a cathode ray tube to make his conclusions. He observed: a. The cathode rays traveled in straight lines. 2 b. c. 2. 3. IV. Cathode rays were deflected by a magnetic field The rays were deflected away from a negatively charged object. d. All metals produce these rays. He proposed that atoms consist of small, negative electrons embedded in a massive, positive sphere. Measured charge-to-mass ratio of e-. C. Ernest Rutherford- New Zealand chemist (1871-1937) 1. Gold foil experiment- alpha particle (2 protons and 2 neutrons bonded together) bombardment of gold foil. Observations: a. most went straight through unaffected b. small number had small deflections c. rarely they would come straight back. Conclusions: a. nucleus is positively charged b. mass of atom is located in nucleus c. atom is mostly empty space. D. Robert Millikan- 1909 Oil Drop Experiment: determines the size of the charge on an electron. 2. What Millikan did was to put a charge on a tiny drop of oil, and measure how strong an applied electric field had to be in order to stop the oil drop from falling. 3. He noticed that the charge was always a multiple of -1.6 x 10 -19 C ( coulombs are a quantity of electrical charge), the charge on a single electron. E. Laws that led to the modern atomic theory- conservation of mass, definite proportions and multiple proportions. 1. Conservation of mass- in a chemical reaction, atoms (and therefore mass) are never lost or gained only rearranged. 2. Definite Proportions- in a pure compound the proportions of atoms by mass are always the same. 3. Multiple Proportions- If two elements A and B form more than one compound, the masses of B that can combine with a given mass of A are in a ratio of small whole #’s. Parts of the Atom (4.3) A. Proton- symbol ( 1 H or p+) 1. Positively charged particle, (+1). 2. Part of the dense nucleus along with neutrons 3. Mass of 1.0073 amu per proton, about 2000 times more massive than an electron. 4. Along with neutrons in the nucleus make up most of the mass of the atom 5. Along with neutrons in the nucleus make up a small part of the atoms overall volume. 6. Scientists have agreed to identify elements by atomic number, which is the number of protons each atom has. Symbol for atomic number is (Z). 1 B. Neutron- symbol ( 0 n or n0) 1. Electrically neutral, zero charge. 2. About the same mass as a proton, 1.0087 amu. 3. Found in the nucleus. 4. Number of neutrons determines the isotope. C. Electron- symbol ( -1 e or e–) 1. Electrons occupy 3D regions of space called orbitals that surround the nucleus. 2. Negatively charged (-1 charge), 3. 1/2000 the mass of a proton, 5.5 x 10-4 amu. Particle Location Relative Charge Mass (amu’s) Symbol proton nucleus +1 1.0073 p+ or 1 H neutron nucleus 0 1.0087 electron orbital -1 .00055 1 0 0 -1 1 n or n0 e or e- 1 0 3 4. D. E. loss, gain, and sharing of electrons important in many chemical reactions. Ion- ions are atoms that have lost or gained electrons. – # electrons ¹ # protons – e- > p+: (–) charged (anion): Xn– e- < p+: (+) charged (cations): Xn+ Isotopes- atoms of the same element that contain different numbers of neutrons. 1. Mass Spectrometer is used to differentiate isotopes. a. particles are turned into positive ions, accelerated, and then deflected by a magnetic field. b. the resulting path of ions depends on their mass/charge ratio (m/Z). c. large m/Z value deflected least. 2. For any element, there is no set number of neutrons in the nucleus. For example, most hydrogen atoms (atomic #1) have no neutrons, a small percentage, have one neutron, and a smaller percentage have 2. 3. We identify isotopes by their mass number (A), which is the total number of protons and neutrons. 4. The atomic number (Z) is the number of protons, it defines the atom. 5. The total mass of an atom is called its atomic mass. This is the sum of the masses of all the atom’s components. Mass Spectrograph Two peaks showing two isotopes of Boron a. average atomic mass- is the average mass of all isotopes of an element as they occur in nature. b. The unit to measure atomic masses is the atomic mass unit (amu). – 1 amu = 1.66x10-24 g. – 1 amu = 1/12 the mass of a C-12 atom. IV. A 6. Notation for isotopes Z X , for example: 79 Au 7. 100mav = %1m1 + %2m2 + ... 201 Radioactive decay (25.2, 25.3) A. B. Radioactive decay 1. Decay is the release of radiation by a radioactive isotope. 2. The nuclei are unstable and emit radiation a. The “tug-of-war” between the attraction of the strong nuclear force and the repulsion of the electromagnetic force between protons has interesting implications for the stability of a nucleus. b. Atoms outside the zone of stability tend to decay and release radiation, until they get back to the “belt of stability” c. Eventually, a point is reached beyond which there are no stable nuclei: the bismuth nucleus with 83 protons and 126 neutrons is the largest stable nucleus. Half-Life 1. Time it takes for half of a given amount of a radioactive isotope to undergo decay. 2. rate of decay is proportional to #of nuclei present: 3. time for half of remaining atoms to decay (t½) is constant: 4. ππππ’ππ‘ πππππππππ = (ππππ‘πππ ππππ’ππ‘)(1⁄2)π π = #ππ βπππ πππ£ππ π‘βππ‘ βππ£π πππ π ππ 4 VI. Atomic spectroscopy and the Bohr model- (5.1, 5.2) A new model of the atom evolved out of the similarities discovered between the behavior of light & electrons. Analysis of the light revealed that an elements chemical behavior is related to the arrangement of it’s electrons. A. Wave Nature of Light. Light is a form of electromagnetic radiation with three characteristics: 1. wavelength- measured in meters or nanometers (m or nm) is the distance between two consecutive crests. 2. frequency – measured in hertz (Hz) is the number of wavelengths that pass a certain point per second. 3. speed- how fast a wave is moving through space. All EM radiation travels at 3.0 x 108 m/s. 4. Because light moves at a constant speed there is a relationship between frequency and wavelength. π=πβπ 5. π = frequency in Hertz c = speed of light 3.0 x 108m/s λ = wavelength in meters Light energy comes in packets, called photons. π¬ππππππ = π β π π = π·πππππ′ π ππππππππ = π. πππ × ππ−ππ π± β π substitute οΏ½=οΏ½βοΏ½ πβπ π¬ππππππ = π B. By passing light through a prism, the color components of the light can be separated. 1. A continuous spectrum shows all the wavelengths of light that are being emitted by white light. (think of a rainbow) 2. An emission spectrum shows the specific frequencies of light emitted by a specific atom that is being excited. 3. Atoms can be identified by the light they emit, by their unique emission spectrum. C. The Danish scientist Niels Bohr (1885-1962) explained the formation of emission spectra (for hydrogen only): 1. Potential energy of an electron depends on its distance from the nucleus. 2. When an atom absorbs a photon of light, it is absorbing energy. a. Absorption of a photon causes a low potential energy electron in an atom to become a high potential energy electron. b. When a high potential energy electron loses some of its energy, the electron moves closer to the nucleus and the energy lost is emitted as a photon. 3. Since light energy is quantized, the energy of an electron must also be quantized. In other words, an electron cannot have just any amount of potential energy. a. Within the atom there must be a number of distinct energy levels, analogous to steps on a staircase. b. Where you are at on the “staircase” is restricted to where the stairs are. Similarly, there are only a limited number of permitted energy levels in an atom. An electron cannot exist between levels. 5 4. Equation to calculate the energy that an electron would have at any energy level: −π. πππππ−ππ π± π¬π = ππ a. b. c. n is the energy level in question and the negative sign means that the lower energies correspond to states with larger negative numbers for energy values – be careful! ground state (n = 1) electron has lowest (most negative) energy excited state (n > 1), electron energy increases until ionized (E = 0 J) βEelectron = En-final – En-initial βEelectron > 0 when increasing n βEelectron < 0 when decreasing n |βEelectron| = Ephoton Bohr developed a conceptual model in which an electron moving around the nucleus is restricted to certain distances from the nucleus, these distances are determined by the amount of energy the electron has. This is called the planetary orbital model. 6