Chemistry Reference
In-Depth Information
Table of Basic
Mathematical
Equations
Appendix 3
Equation
Name
Chapter Reference
V l h w
Volume of a rectangular solid
2
d
m
V
Density
2
5
9 ( t F 32)
t
Temperature conversion, Celsius and Fahrenheit
2
T t 273
Temperature conversion, Kelvin and Celsius
2
A p
n
Mass number
3
Z p
Atomic number
3
moles of solute
liter of solution
M
Molarity
11
P 1 V 1 P 2 V 2
Boyle's law
12
V 1
T 1 V 2
T 2
Charles' law
12
P 1 V 1
T 1
P 2 V 2
T 2
Combined gas law
12
PV nRT
Ideal gas law
12
. . .
P total P 1
P 2
Dalton's law
12
Heat mc ¢ t
Heat capacity equation
14
¢ E q
w
Change in energy
14
¢ H ¢ H f (products)
¢ H f (reactants)
Enthalpy change from enthalpies of formation
14
Concentration kP i
Henry's law
15
moles of solute
kilogram of solvent
m
Molality
15
moles of A
total moles in solution
X A
Mole fraction of A
15
P Z X Z P Z
Vapor pressure of Z
15
¢ P P ° P
Vapor-pressure lowering
15
¢ t f k f m
Freezing-point depression
15
¢ t b k b m
Boiling-point elevation
15
nRT
V
Osmotic pressure
15
log [products] p
[reactants] r
0.0592
n
°
Nernst equation
17
[C] c [D] d
[A] a [B] b
K
Equilibrium constant expression
18
[H 3 O ][A ]
[HA]
K a
Acid dissociation constant expression
19
[BH ][OH ]
[B]
K b
Base dissociation constant expression
19
[H 3 O ][OH ]
K w
Water ionization constant expression
19
pH log [H 3 O ]
Definition of pH
19
a N o
N
a 0.693
t 1/2
b
b
ln
t
Half-life equation
21
E mc 2
Einstein's equation
21
601
 
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