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OTHER FORMULAS = mv2 m = mass v = velocity POTENTIAL ENERGY PE = m x v x h m = mass v = velocity h = height LINEAR MOMENTUM CONSERVATION m1v1 = m2v2 KINETIC ENERGY: ANGULAR MOMENTUM CONSERVATION = GRAVITATIONAL FORCE m1v1r1 = m2v2r2 ELECTRICITY a. V = I x R V = VOLTAGE I = CURRENT R = RESISTANCE b. P = V x I P = POWER WAVE EQUATIONS: a. = v = VELOCITY f = FREQUENCY λ = WAVELENGTH b. = f = FREQUENCY T = PERIOD GAS LAW EQUATIONS: 1 1 2 2 = 1 2 EFFICIENCY OF A HEAT ENGINE: Efficiency = x100 QUANTUM NUMBERS AND SYMBOLS Symbol n l ml ms 1s 2s 3s 45 5s 6s 2p 3p 4p 5p 6p Name Principal quantum number Orbital quantum number Magnetic quantum number Electron spin quantum number 3d 4d 5d 6d 4f 5f 6f 5g 6g Description Main energy level Sublevel Orbital Electron spin Permitted Values 1,2,3,4 . . . . 0...n–1 -l, -l+1, -l+2 . . . . +l −1/2 or +1/2 6h Practice Problems 1. Suppose that all you know about a certain electron in an atom is that its principal quantum number is 3. What are the possible value sets (l, ml, ms) for the other three quantum numbers? 2. Is it possible for an electron in an atom to have these quantum numbers: n=2, l =1, ml =3, ms =1/2? Why or why not? Practice Problems, cont’d 3. Is it possible to have two electrons in an atom with the same n, l, and ml? 4. How many subshells are there in an atom in the level with a principal quantum number n=3? 5. What type of orbital in an atom is designated by quantum numbers n=4, l =3, and ml =0? 6. A subshell in an atom has the values, n = 3, l =2. How many orbitals are there in this subshell? 7. A subshell in an atom has the values, n = 4, l =1. What is the maximum number of electrons that it can hold?