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1.HESS’S LAW
2. BORN HABER CYCLE
 ΔHθ – The amount of heat absorbed/evolved
when the molar quantities of reactants as
stated in the equation react together under
std conditions.
 Std conditions : P = 1 atm
T = 298K
Substances in their normal
physical states
 ΔH f
θ - The heat change required to produce
1 mol of the substance from its elements
under standard conditions.
 Ag(s) + ½ Cl2 (g)  AgCl (s) ; ΔH f
θ = -127
kJmol-1
 ΔH c
θ - The heat energy evolved when 1 mol
of the substance is completely burnt in
excess oxygen under standard conditions.
 C2 H4(g) + 3O2 (g)  2CO2 (g) +2 H2O (l) ;
ΔH c
θ = -1411 kJmol-1
 Hess’s law states that overall heat change in a
chemical reaction is constant and not
dependent on the route taken.
X
A + B C + D
(initial) (final)
Y Z
ΔHθ Route 1 = ΔHθ Route 2
X = Y + Z
 C(s) + O2 (g)  CO2 (g) ; ΔH f
θ = -406 kJmol-1
 H2(g) + ½O2 (g)  H2O (l) ; ΔH f
θ = -285 kJmol-1
C2 H5OH(l) + 3O2 (g)  2CO2 (g) +3H2O (l) ; ΔH c
θ
= -1423 kJmol-1
 Find ΔH f
θ C2 H5OH (l).
 2C(s) + 3H2(g)+ ½O2 (g)  C2H5OH(l)
 Working, ΔH f
θ = 2 ΔH1 + 3ΔH2 – ΔH3
= 2(-406) + 3(-285) + 1423
= -244 kJmol-1

ΔH 4
2C + 3H2 C2 H5OH
ΔH1 ΔH2 ΔH3
2CO2 + 3H2O
By Hess’s law
ΔH1 + ΔH2 = ΔH4 + ΔH3
ΔH4 = ΔH1+ ΔH2- ΔH3
= 2(-406) + 3(-285) –(-1423)
= -244 kJmol-1
 Def : The enthalpy change when 1 mol of
an ionic compound is broken apart into
its constituent gaseous ions under
standard conditions.
 NaCl(s)  Na+(g) +Cl-(g) ;
ΔH latt
θ =+771 kJmol-1
E.g.1
Draw a Born Haber cycle for RbI. Hence use the
data below to calculate the ΔH
f
of RbI.
ΔH a Rb = +86 kJmol-1
ΔH a I = +107 kJmol-1
ΔH latt Rbl = +609 kJmol-1
IE Rb = +402 kJmol-1
I(g) + e I- (g) ; ΔH = -314 kJmol-1
 Rb(s) + ½ l2(s) Rbl(s)
◦ ΔH2 ΔH4 ΔH1
 Rb(g) l(g) ΔH6
◦ ΔH3 ΔH5
 Rb+(g) I-(g) Route 2
By Hess’s law,
Heat change in route 1=Heat change in route 2
ΔH1= ΔH2 + ΔH3 + ΔH4 + ΔH5 + ΔH6
= +86+402+107+(-314)+(-609)
= -328 kJmol-1
Hence ΔHf RbI = -328 kJmol-1
Energetics  hess's law & born haber cycle

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Energetics hess's law & born haber cycle

  • 2.  ΔHθ – The amount of heat absorbed/evolved when the molar quantities of reactants as stated in the equation react together under std conditions.  Std conditions : P = 1 atm T = 298K Substances in their normal physical states
  • 3.  ΔH f θ - The heat change required to produce 1 mol of the substance from its elements under standard conditions.  Ag(s) + ½ Cl2 (g)  AgCl (s) ; ΔH f θ = -127 kJmol-1  ΔH c θ - The heat energy evolved when 1 mol of the substance is completely burnt in excess oxygen under standard conditions.  C2 H4(g) + 3O2 (g)  2CO2 (g) +2 H2O (l) ; ΔH c θ = -1411 kJmol-1
  • 4.  Hess’s law states that overall heat change in a chemical reaction is constant and not dependent on the route taken. X A + B C + D (initial) (final) Y Z ΔHθ Route 1 = ΔHθ Route 2 X = Y + Z
  • 5.  C(s) + O2 (g)  CO2 (g) ; ΔH f θ = -406 kJmol-1  H2(g) + ½O2 (g)  H2O (l) ; ΔH f θ = -285 kJmol-1 C2 H5OH(l) + 3O2 (g)  2CO2 (g) +3H2O (l) ; ΔH c θ = -1423 kJmol-1  Find ΔH f θ C2 H5OH (l).  2C(s) + 3H2(g)+ ½O2 (g)  C2H5OH(l)  Working, ΔH f θ = 2 ΔH1 + 3ΔH2 – ΔH3 = 2(-406) + 3(-285) + 1423 = -244 kJmol-1 
  • 6. ΔH 4 2C + 3H2 C2 H5OH ΔH1 ΔH2 ΔH3 2CO2 + 3H2O By Hess’s law ΔH1 + ΔH2 = ΔH4 + ΔH3 ΔH4 = ΔH1+ ΔH2- ΔH3 = 2(-406) + 3(-285) –(-1423) = -244 kJmol-1
  • 7.  Def : The enthalpy change when 1 mol of an ionic compound is broken apart into its constituent gaseous ions under standard conditions.  NaCl(s)  Na+(g) +Cl-(g) ; ΔH latt θ =+771 kJmol-1
  • 8. E.g.1 Draw a Born Haber cycle for RbI. Hence use the data below to calculate the ΔH f of RbI. ΔH a Rb = +86 kJmol-1 ΔH a I = +107 kJmol-1 ΔH latt Rbl = +609 kJmol-1 IE Rb = +402 kJmol-1 I(g) + e I- (g) ; ΔH = -314 kJmol-1
  • 9.  Rb(s) + ½ l2(s) Rbl(s) ◦ ΔH2 ΔH4 ΔH1  Rb(g) l(g) ΔH6 ◦ ΔH3 ΔH5  Rb+(g) I-(g) Route 2
  • 10. By Hess’s law, Heat change in route 1=Heat change in route 2 ΔH1= ΔH2 + ΔH3 + ΔH4 + ΔH5 + ΔH6 = +86+402+107+(-314)+(-609) = -328 kJmol-1 Hence ΔHf RbI = -328 kJmol-1