Symbol
e h proton mass (mp) electron mass (me)
RH
c a0 Value
1.6022 × 10-19 C
6.6261 × 10-34 Js
1.6726 × 10-27 kg
9.1094 × 10-31 kg
2.179 × 10-18 J
2.9979 × 108 ms-1
5.29177 × 10-11 m
1
KE = mv 2
2
c = νλ E = hν
⎛ 1 1⎞
ΔE = hν = RH ⎜ 2 − 2 ⎟
⎝ nb nt ⎠
λ=
1 hν = Φ + mv 2
2
h h = p mv
ΔxΔp ≥
rn = n 2 a0
h
4π
Z eff = Z − S
Prof. Carran
Symbol
R
Value/units
8.31451 J.K-1.mol-1
8.31451 L.kPa.K-1mol-1
8.31451 x 10-2 L.bar.K-1mol-1
0.08206 L.atm.mol-1.K-1
1.3807 x10-23 J.K-1
6.0221 x 1023 mol-1
KB = R/NA
NA
760 Torr = 101.325KPa = 1atm =760 mmHg
1 Pa
1 N.m-2
PV=nRT P1V1=P2V2 density=m/V c(A)=n(A)/V M=m/n
V1/T1=V2/T2
º
ΔHV
P2*
ln * = −
P
R
1
w = F. d
PA+PB+….=PTot T=t + 273.15
P1V1/n1T1=P2V2/n2T2
⎛1 1⎞
⎜ − ⎟
⎜T T ⎟
1⎠
⎝ 2 w = –Pex ΔV
w = –n R T ln(Vf/Vi)
C = q/ΔT
ΔU = q + w
H = U + PV
ΔH = ΔU + Δ(PV)
CV = ΔU/ΔT
CP = ΔH/ΔT
ΔH = ΔU + Δngas R T
En =
CP = CV + nR
ΔH° = ∑nΔHf°(products) – ∑nΔHf°(reactants)
− RH n2 Page 2 of 3
ΔH°(T2) = ΔH°(T1) + (T2 – T1) ΔCP
ΔS° = qrev/T
ΔS = ∑nS°(products) – ∑nS°(reactants)
ΔS = n Cm ln(T2/T1)
G = H – TS
ΔS = n R ln(V2/V1)
ΔG = ΔH – TΔS at P = const & T = const
ΔG° = ∑nΔGf°(products) – ∑nΔGf°(reactants)
−ΔH 0 ΔS 0 ln K eq =
+
RT
R
K eq2 −ΔH 0 ⎛ 1 1 ⎞ ln =
−
K eq1
R ⎜ T2 T1 ⎟
⎝
⎠
ΔG 0 = −RT ln K eq
ΔG = ΔG 0 + RT lnQ
ΔS = n R ln(P1/P2)
Page 3 of 3
Periodic table with atomic masses
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
1A
2A
3B
4B
5B
6B
7B
8B
8B
8B
1B
2B
3A
4A
5A
6A
7A
8A
1
1
2
H
He
1.008
4.003
3
4
5
6
7
8
9
10
Li
Be
B
C
N
O
F
Ne
6.941
9.012
10.81
12.01
14.01
16.00
18.99
20.18
11
12
13
14
15
16
17
18
3 Na
Mg
Al
Si
P
S
Cl
Ar
24.30
26.98
28.09
30.97
32.07
35.45
39.95
36
2
22.99
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
K
Ca
Sc
Ti
V
Cr
Mn
Fe
Co
Ni
Cu
Zn
Ga
Ge
As
Se
Br
Kr
39.1
40.08
44.96
47.87
50.94
52.00
54.94
55.84
58.99
58.34
63.55
65.39
69.72
73.61
74.92
78.96
79.90
83.8
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
Sr
Y
Zr
Nb
Mo
Tc
Ru
Rh
Pd
Ag
Cd
In
Sn
Sb
Te
I
Xe
85.47
87.62
88.91
91.22
92.91
95.94
99
101.1
102.9
106.4
107.9
112.4
114.8
118.7
121.8
127.6
126.9
131.3
55
56
57
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
6 Cs
Ba
La
Hf
Ta
W
Re
Os
Ir
Pt
Au
Hg
Tl
Pb
Bi
Po
At
Rn
132.9
137.3
138.9
138.9
181.0
183.8
186.2
190.2
192.2
195.1
197.0
200.6
204.4
207.2
209.0
209
210
222
87
88
89
4
37
5 Rb
7
Fr
Ra
Ac
223
226
227
58
60
61
62
63
64
65
66
67
68
69
70
71
Pr
Nd
Pm
Sm
Eu
Gd
Tb
Dy
Ho
Er
Tm
Yb
Lu
141
144
145
150
152.0
157
159
163
165
167
169
173.0
175.0
90
91
92
93
94
95
96
97
98
99
100
101
102
103
Th
Pa
U
Np
Pu
Am
Cu
Bk
Cf
Es
Fm
Md
No
Lr
232
7
59
Ce
140
6
231.0
238.0
237
244
243