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Transcript
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?