Protons and electrons are attracted to each other because of opposite charges Electrically charged particles moving in a curved path give off energy Despite these facts, atoms don’t collapse Electrons and energy move in a wave motion which contributes to the chemical properties of an element Electromagnetic radiation propagates through space as a wave moving at the speed of light. c = C = speed of light, a constant (3.00 x 108 m/s) = frequency, in units of hertz (hz, sec-1) = wavelength, in meters The wavelength of the green light from a traffic signal is centered at 522nm. What is the frequency of this radiation? 3.0 x 108 m/s = v x (522nm x 1 m ) 1 109 nm 5.47 x 1014 1/s or 5.47 x 1014 hz The energy (E ) of electromagnetic radiation is directly proportional to the frequency () of the radiation. E = h E = Energy, in units of Joules (kg·m2/s2) h = Planck’s constant (6.626 x 10-34 J·s) =frequency, in units of hertz (hz, sec1) Long Wavelength = Low Frequency = Low ENERGY Short Wavelength = High Frequency = High ENERGY C = E = hv Common rearrangements: E = hc = hc E Example • Calculate the energy (in joules) of a) A photon with a wavelength of 5.00 x 10-4nm (infrared region) b) A photon with a wavelength of 5.0 x 10-2nm (x-ray region) Physical and chemical properties of elements and compounds are dependent upon their valence electron configurations Regular variation of properties is observed – called periodic law or periodicity Elements in columns have similar outer electron configurations and behaviors An orbital is a region within an atom where there is a probability of finding an electron. This is a probability diagram for the s orbital in the first energy level… Orbital shapes are defined as the surface that contains 90% of the total electron probability. “One cannot simultaneously determine both the position and momentum of an electron.” You can find out where the electron is, but not where it is going. OR… You can find out where the electron is going, but not where it is! Orbitals of the same shape (s, for instance) grow larger as n increases… Nodes are regions of low probability within an orbital. The s orbital has a spherical shape centered around the origin of the three axes in space. There are three dumbbell-shaped p orbitals in each energy level above n = 1, each assigned to its own axis (x, y and z) in space. Things get a bit more complicated with the five d orbitals that are found in the d sublevels beginning with n = 3. To remember the shapes, think of: “double dumbells” …and a “dumbell with a donut”! 1s 2s 2p 3s 3p 3d 4s 4p 4d 4f 5s 5p 5d 5f 6s 6p 6d 6f 7s 7p 7d 8s 8p 8d Start at 1s, fill diagonally from lower left to upper right Box diagrams for several elements. What would the configuration notations and the noble gas notations be for each element? • Ex Write an electron configuration for a barium atom (Z=56) Long, shorthand Write an electron configuration for molybdenum (Z=42) • Long, shorthand Write an electron configuration for a BROMIDE ION (atomic number 35) Write possible configurations for ferrous and ferric ions Chromium steals a 4s electron to half fill its 3d sublevel Copper steals a 4s electron to FILL its 3d sublevel Each electron in an atom has a unique set of 4 quantum numbers which describe it. • Principal quantum number • Angular momentum quantum number • Magnetic quantum number • Spin quantum number No two electrons in an atom can have the same four quantum numbers. Wolfang Pauli Generally symbolized by n, it denotes the shell (energy level) in which the electron is located. Number 2n2 of electrons that can fit in a shell: The angular momentum quantum number, generally symbolized by l, denotes the orbital (subshell) in which the electron is located. l=0 l=1 l=2 l=3 s p d f The magnetic quantum number, generally symbolized by m, denotes the orientation of the electron’s orbital with respect to the three axes in space. The three quantum numbers (n, l, and m) are integers. The principal quantum number (n) cannot be zero. • n must be 1, 2, 3, etc. The angular momentum quantum number (l ) can be any integer between 0 and n - 1. • For n = 3, l can be either 0, 1, or 2. The magnetic quantum number (ml) can be any integer between -l and +l. • For l = 2, m can be either -2, -1, 0, +1, +2. Spin quantum number denotes the behavior (direction of spin) of an electron within a magnetic field. Possibilities for electron spin: +1 -1 2 2 Ex. Complete the table for all electrons in Neon, (Z=10) • n • l • ml • ms The energy required to remove one mole electrons from a mole of gaseous atoms to produce one mole of gaseous ions M(g) M+(g) + e Second ionization energy – energy change accompanying M+(g) M2+(g) + e Measured in kJ/mol Positive energy values – requires energy to remove electrons (endothermic) Magnitude is determined by the attraction of the positive nucleus for the negative electrons that are being removed Attraction is dependant on • Nuclear energy • Shielding effect of inner electrons Mg + 738 kJ Mg+ + eMg+ + 1451 kJ Mg2+ + eMg2+ + 7733 kJ Mg3+ + e- Tends to increase across a period • Electrons in the same quantum level do not shield as effectively as electrons in inner levels • Irregularities at half filled and filled sublevels due to extra repulsion of electrons paired in orbitals, making them easier to remove Tends to decrease down a group • Outer electrons are farther from the nucleus The energy change when one mole of gaseous atoms gains one mole of electrons to form one mole of gaseous ions X(g) + e- X Measured in kJ/mol Positive values indicates that energy may have to be put in to cause this to happen (endothermic) Negative values indicates that energy is released in this process (exothermic) Affinity Affinity tends to increase across a period tends to decrease as you go down in a period • Electrons farther from the nucleus experience less nuclear attraction • Some irregularities due to repulsive forces in the relatively small p orbitals Periodic Trends in Atomic Radius • Radius decreases from left to right across a period Increased effective nuclear charge due to decreased shielding • Radius increases down a group Addition of principal quantum levels Cations • Positively charged ions • Lose electrons • Smaller than the corresponding atom Anions • Negatively charged ions • Gains electrons • Larger than the corresponding atom A measure of the ability of an atom in a chemical compound to attract electrons Electronegativities tend to increase across a period Electronegativities tend to decrease down a group or remain the same Have complete outer shells Stable, difficult to alter chemically Relatively inert Don’t form ions Group 1 • ns1 electron structure • Lose s1 electron when they form ions (+1 charge) Group 2 • ns2 electron structure • Lose 2 s electrons when they form ions (+2 charge) Group 16 • ns2 np4 electron structure • Gains 2 electrons when they form ions (-2 charge) Group 17 • ns2 np5 electron structure • Gains 1 electron when they form ions (-1 charge) Amu – used to describe the mass of atoms in whole numbers 1 amu = 1.66 x 10-24g Atoms are very small and have extremely small masses Example – 1 atom of Cl35 contains 17 protons and 18 neutrons. This is a total of 35 amu and has a mass of 5.81 x 10-23g. This is a very small number so we use the concept of the mole to overcome the problem of handling such small quantities. As you will see 1 mole contains 6.022 x 1023 particles. So if we take 1 mole of Cl35 atoms they will have a mass of (5.81 x 10-23)(6.022 x 1023) = 35.0g Chemical formulas are also molecular formulas Chemical formulas show exact ratios of the elements present in a molecule Ratios are used as conversion factors Relative atomic mass (RAM) – weighted average of the masses of all the atoms in a normal isotopic sample based upon the scale on the last slide Average RAM is on the periodic table Relative atomic mass (molar mass) • Found by adding all the individual RAMs together in one molecule of a compound Relative formula mass (molar mass) – found by adding all the individual RAMs together in one formula unit of an ionic compound Calculate the formula mass of magnesium carbonate, MgCO3. 1 dozen = 12 1 gross = 144 1 mole = 6.022 x 1023 There are exactly 12 grams of carbon-12 in one mole of carbon12. 6.022 x 1023 is called “Avogadro’s Number” in honor of the Italian chemist Amadeo Avogadro (1776-1855). I didn’t discover it. Its just named after me! number of moles = mass of sample molar mass Amadeo Avogadro How many grams of lithium are in 3.50 moles of lithium? Hint Use conversion factors!! How many moles of lithium are in 18.2 grams of lithium? Hint use conversion factors!! How many atoms of lithium are in 3.50 moles of lithium? Hint Use conversion factors!! How many atoms of lithium are in 18.2 g of lithium? Hint Use three conversion factors!! Chemical change involves a reorganization of the atoms in one or more substances. C2H5OH + 3O2 2CO2 + 3H2O Reactants Products 1 mole of ethanol reacts with 3 moles of oxygen to produce 2 moles of carbon dioxide and 3 moles of water Shorthand way to describe a chemical reaction Steps to write them • Write down the equation in words • Fill in correct molecular formulas for each substance & make sure they are balanced • Balance the equation using coefficients • Add state symbols Make a list of each element present in the equation. 2. Change the coefficients to make the equation balanced. Examples: Balance the following equations C2H5OH(l) + O2(g) CO2(g) + H2O (NH4)2Cr2O7(s) Cr2O3(s) + N2(g) + H2O(g) 1. Write equations for the following reactions • • • • Hydrogen + copper(II) oxide copper + water H2(g) + CuO(s) Cu(s) + H2O(l) Carbon + oxygen carbon monoxide C(s) + O2(g) CO(g) Balance the following • • • • Na + O2 Na2O C4H8 + O2 CO2 + H2O Pb(NO3)2 PbO + NO2 + O2 Fe + Br2 FeBr3 Synthesis A+B→C H2 + O2 → 2H2O Decomposition A→B+C 2H2O → H2 + O2 Double Replacement AB + CD → AD + CB MgO + 2NaCl → MgCl2 + Na2O Some ionic compounds are more soluble in water than others Precipitation occurs when cations and anions combine to form insoluble compounds (don’t dissolve in water) Driving force – forms a solid (precipitate) These are also called double displacement reactions AB + CD AD + CB You must memorize the solubility rules for these reactions Examples • AgNO3(aq) + KCl(aq) • Na2SO4(aq) + Pb(NO3)2(aq) • KOH(aq) + MgBr2(aq) • (NH4)2SO4(aq) + ZnCl2(aq) White barium sulfate, silver chloride, aluminum hydroxide, zinc hydroxide Cream silver bromide Pale yellow silver iodide, lead(II) iodide Brown gas nitrogen dioxide Green nickel(II) hydroxide, iron(II) hydroxide Blue copper(II) hydroxide Red/brown iron(III) hydroxide Acid donates H+ in aqueous solutions Base accepts H+ in aqueous solutions • HNO3(aq) + NaOH(aq) H2O(l) + NaNO3(aq) Driving force – formation of water Produces heat, a salt (ionic compound) and water Also called redox reactions Driving force – transfer of electrons; formation of a gas Occurs in metal-nonmetal reactions – ionic compounds are formed Includes single-replacement reactions, combustion reactions, decomposition reactions, and synthesis reactions Single replacement (displacement) • A + BC B + AC Combustion • Always includes O2 • Carbon compound + O2 CO2 + H2O • Always makes CO2 and H2O Driving force formation of a gas General reactions • Acid + metal salt + hydrogen Zn + H2SO4 ZnSO4 + H2 • Acid + carbonate salt + water + CO2 H2SO4 + CaCO3 CaSO4 + H2O + CO2 • Production of oxygen by decomposition of hydrogen peroxide with MnO2 catalyst 2H2O2 2H2O + O2 Express the mass of each elements as a percent of the mass of a compound Calculate the percentage composition of magnesium carbonate, MgCO3. From previous slide: Percent Composition can help obtain the empirical and molecular formula for an unknown molecule. Empirical formula: the lowest whole number ratio of atoms in a compound. Molecular formula: the true number of atoms of each element in the formula of a compound. molecular formula = (empirical formula)n [n = integer] molecular formula = C6H6 = (CH)6 empirical formula = CH Formulas for ionic compounds are ALWAYS empirical (lowest whole number ratio). Examples: NaCl MgCl2 Al2(SO4)3 K2CO3 Formulas for molecular compounds MIGHT be empirical (lowest whole number ratio). Molecular: Empirical: H2O C6H12O6 C12H22O11 1. Base calculation on 100 grams of compound (change % to g). 2. Determine moles of each element in 100 grams of compound. 3. Divide each value of moles by the smallest of the values. 4. Multiply each number by an integer to obtain all whole numbers. Adipic acid contains 49.32% C, 43.84% O, and 6.85% H by mass. What is the empirical formula of adipic acid? Elements present % by mass RAM % by mass/RAM Divide by smallest Empirical formula C H O Empirical Formula of Adipic Acid C1.5 H2.5 O1 There cannot be 1.5 atoms of carbon in a molecule, so we must multiply ALL subscripts by 2 Final (True) Empirical Formula C3 H5 O2 Calculate the empirical formula of a compound that is 77.78% Fe and 22.22% O. A hydrocarbon has the composition by mass, hydrogen 7.69% and carbon 92.31%. Calculate its empirical formula. The empirical formula for adipic acid is C3H5O2. The molecular mass of adipic acid is 146 g/mol. What is the molecular formula of adipic acid? 1. Find the formula mass of C3H5O2 2. Divide the molecular mass by the mass given by the empirical formula. 3. Multiply the empirical formula by this number to get the molecular formula. 1. 2. 3. 4. Balance the equation. Convert masses to moles. Use the stoichiometric coefficients in the equation to find the reacting ratio of the moles. Use this relationship to find the number of moles of the unknown substance. Convert from moles to grams. 6.50 grams of aluminum reacts with an excess of oxygen. How many grams of aluminum oxide are formed? 1. Identify reactants and products and write the balanced equation. Al + O2 Al2O3 a. Every reaction needs a yield sign! b. What are the reactants? c. What are the products? d. What are the balanced coefficients? 6.50 grams of aluminum reacts with an excess of oxygen. How many grams of aluminum oxide are formed? 3.5g of Hydrogen reacts with nitrogen to form Ammonia. How much ammonia is made? The limiting reactant is the reactant that is consumed first, limiting the amounts of products formed. C + O2 CO2 So if there are 6 Carbon atoms and 1 oxygen molecule, the oxygen will be consumed first and is the limiting reactant. It is important to remember this is an atomic ratio, not a ratio based upon grams! The two nonmetals, sulfur and chlorine, react according to the following equation: S(s) + 3Cl2(g) SCl6(l) If 202g of sulfur are allowed to react with 303g of Cl2 in the reaction above, which is the limiting reactant, how much product will be produced and what mass of excess reactant will be left over? Stoichiometric calculations give theoretical yeilds The amount you get in an experiment is the actual yeild To determine percent yield actual yield/theoretical yield x 100 To determine percent error |actual – theoretical|/theoretical x 100 Aluminum will react with oxygen gas according to the following equation 4Al + 3O2 2Al2O3 In one such reaction, 23.4g of Al are allowed to burn in excess oxygen. 39.3g of aluminum oxide are formed. What is the percent yield and the percent error?
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