2. INFORMATION IN THE TABLE BELOW AND IN THE TABLES ON PAGES 3-5 MAY BE USEFUL IN ANSWERING
THE QUESTIONS IN THIS SECTION OF THE EXAMINATION.
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3. STANDARD REDUCTION POTENTIALS IN AQUEOUS SOLUTION AT 25∞C
Half-reaction E ∞(V)
- Æ -
F2 ( g) + 2 e 2F 2.87
3+ - Æ 2+
Co +e Co 1.82
- Æ
Au 3+
+ 3e Au(s) 1.50
-
Cl2 (g ) + 2 e Æ 2 Cl - 1.36
O2 (g) + 4 H + + 4 e - Æ 2 H 2 O(l ) 1.23
-
Br2 (l ) + 2 e Æ 2 Br - 1.07
2 Hg2+ + 2 e - Æ Hg22+ 0.92
Hg2+ + 2 e - Æ Hg(l ) 0.85
- Æ
Ag + e+
Ag(s) 0.80
- Æ
Hg2 2+
+ 2e 2 Hg(l ) 0.79
- Æ
Fe 3+
+e Fe 2+ 0.77
I 2 (s) + 2 e - Æ 2 I- 0.53
Cu+ + e - Æ Cu(s) 0.52
- Æ
Cu 2+
+ 2e Cu(s) 0.34
- Æ
Cu 2+
+e Cu+ 0.15
Sn 4+ + 2 e - Æ Sn 2+ 0.15
S(s) + 2 H + + 2 e - Æ H 2S(g ) 0.14
- Æ
2H + 2e
+
H2 (g) 0.00
- Æ
Pb 2+
+ 2e Pb(s) – 0.13
- Æ
Sn 2+
+ 2e Sn(s) – 0.14
- Æ
Ni 2+
+ 2e Ni(s) – 0.25
- Æ
Co 2+
+ 2e Co(s) – 0.28
- Æ
Cd 2+
+ 2e Cd(s) – 0.40
- Æ
Cr 3+
+e Cr 2+ – 0.41
Fe 2+ + 2 e - Æ Fe(s) – 0.44
- Æ
Cr 3+
+ 3e Cr(s) – 0.74
- Æ
Zn 2+
+ 2e Zn(s) – 0.76
-
2 H 2 O(l ) + 2 e Æ H 2 ( g ) + 2 OH - – 0.83
Mn 2+ + 2 e - Æ Mn(s) – 1.18
- Æ
Al 3+
+ 3e Al(s) – 1.66
- Æ
Be 2+
+ 2e Be(s) – 1.70
- Æ
Mg 2+
+ 2e Mg(s) – 2.37
- Æ
Na + e
+
Na(s) – 2.71
- Æ
Ca 2+
+ 2e Ca(s) – 2.87
- Æ
Sr 2+
+ 2e Sr(s) – 2.89
- Æ
Ba 2+
+ 2e Ba(s) – 2.90
- Æ
Rb + e
+
Rb(s) – 2.92
- Æ
K +e
+
K(s) – 2.92
- Æ
Cs + e
+
Cs(s) – 2.92
- Æ
+
Li + e Li(s) – 3.05
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4. ADVANCED PLACEMENT CHEMISTRY EQUATIONS AND CONSTANTS
ATOMIC STRUCTURE E = energy u = velocity
E = hv c = lv v = frequency n = principal quantum number
h l = wavelength m = mass
l= p = mu
mu p = momentum
-2.178 ¥ 10 -18
En = joule
n2 Speed of light, c = 3.0 ¥ 108 m s-1
EQUILIBRIUM Planck’s constant, h = 6.63 ¥ 10 -34 J s
[H + ][A - ] Boltzmann’s constant, k = 1.38 ¥ 10 -23 J K -1
Ka =
[HA]
[OH - ][HB+ ] Avogadro’s number = 6.022 ¥ 1023 mol -1
Kb =
[B]
Electron charge, e = -1.602 ¥ 10 -19 coulomb
K w = [OH ][H + ] = 1.0 ¥ 10 -14 @ 25 C
-
= K a ¥ Kb 1 electron volt per atom = 96.5 kJ mol -1
pH = - log [H + ], pOH = - log[OH - ]
14 = pH + pOH Equilibrium Constants
[A - ] K a (weak acid)
pH = pK a + log
[HA] K b (weak base)
[HB+ ] K w (water)
pOH = pK b + log
[B] K p (gas pressure)
pK a = - log K a , pK b = - log K b K c (molar concentrations)
Dn
K p = K c ( RT ) ,
where D n = moles product gas - moles reactant gas S = standard entropy
H = standard enthalpy
THERMOCHEMISTRY/KINETICS G = standard free energy
DS =Â S products -Â S reactants E = standard reduction potential
DH = Â DHf products -Â DH f reactants T = temperature
n = moles
DG = Â DGf products -Â DGf reactants m = mass
q = heat
DG = DH - T D S c = specific heat capacity
= - RT ln K = -2.303 RT log K Cp = molar heat capacity at constant pressure
= -n E Ea = activation energy
k = rate constant
DG = DG + RT ln Q = DG + 2.303 RT log Q
A = frequency factor
q = mcDT
DH = 96,500 coulombs per mole
Cp = Faraday’s constant,
DT
of electrons
ln [A ] t - ln [A]0 = - kt Gas constant, R = 8.31 J mol -1 K -1
1
-
1
= kt = 0.0821 L atm mol -1 K -1
[A] t [A]0
= 62.4 L torr mol -1 K -1
ln k =
R T()
- Ea 1
+ ln A
= 8.31 volt coulomb mol -1 K -1
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5. GASES, LIQUIDS, AND SOLUTIONS
PV = nRT P = pressure
Ê V = volume
n aˆ
2
Á P + 2 ˜ (V - nb) = nRT
Ë T = temperature
V ¯
n = number of moles
moles A
PA = Ptotal ¥ X A , where X A = D = density
total moles
Ptotal = PA + PB + PC + ... m = mass
m u = velocity
n=
M
K = C + 273
PV1 P2V2 urms = root-mean-square speed
1
= KE = kinetic energy
T1 T2
m r = rate of effusion
D= M = molar mass
V
3kT 3RT p = osmotic pressure
urms = =
m M i = van’t Hoff factor
1 2 =
KE per molecule = mu Kf molal freezing-point depression constant
2
3 Kb = molal boiling-point elevation constant
KE per mole = RT A = absorbance
2
r1 M2 a = molar absorptivity
=
r2 M1 b = path length
molarity, M = moles solute per liter solution c = concentration
molality = moles solute per kilogram solvent Q = reaction quotient
DT f = iK f ¥ molality I = current (amperes)
DTb = iK b ¥ molality q = charge (coulombs)
p = iMRT t = time (seconds)
A = abc E = standard reduction potential
K = equilibrium constant
OXIDATION-REDUCTION; ELECTROCHEMISTRY
Gas constant, R = 8.31 J mol -1 K -1
= 0.0821 L atm mol -1 K -1
[C] c [D] d = 62.4 L torr mol -1 K -1
Q= a b
, where a A + b B Æ c C + d D
[A] [B] = 8.31 volt coulomb mol -1 K -1
I =
q Boltzmann’s constant, k = 1.38 ¥ 10 -23 J K -1
t
K f for H2 O = 1.86 K kg mol -1
RT 0.0592
Ecell = Ecell - ln Q = Ecell - log Q @ 25 C K b for H2 O = 0.512 K kg mol -1
n n
1 atm = 760 mm Hg
nE
log K = = 760 torr
0.0592
STP = 0.00 C and 1.0 atm
Faraday’s constant, = 96,500 coulombs per mole
of electrons
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