1. More than 2000 years ago human cultures figured out a way to produce iron metal from rocks containing iron ores. This iron could be worked by a blacksmith (repeated heating and hammering) to make iron metal pure enough for creating useful tools (even Samurai swords). This direct heating technique was common up until about 200 years ago when people found a better way to obtain iron metal. When hematite, Fe2O3(s), is strongly heated in a blast furnace in the presence of charcoal (carbon), pure iron metal is obtained. Fe2O3() 2 Fe(s) + 3/2 O2 (g) (1) C(s) + O2 (g) → CO2(g) (2) When reaction 1 is coupled to reaction 2, overall chemical equation is Fe2O3() + 3/2 C() 3/2 CO2(g) + 2 Fee) Use the thermodynamic data given below for the following calculations: AG¡ (kJ/mol) | 4H¡ (kJ/mol) | S (J/mol-K) Fe2O3(s) -742.2 -824.2 87.40 Fes) 27.28 CO2(8) -394.36 -393.51 213.74 C (6) 5.74 O2 (2) 205.14 a) Calculate the standard Gibb's free energy change for reaction 1 b) Calculate the standard Gibb’s free energy change for reaction 2. c) What is the standard Gibb’s free energy change for the overall coupled reaction?

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1. More than 2000 years ago human cultures figured out a way to produce iron metal from rocks
containing iron ores. This iron could be worked by a blacksmith (repeated heating and hammering) to
make iron metal pure enough for creating useful tools (even Samurai swords). This direct heating
technique was common up until about 200 years ago when people found a better way to obtain iron
metal.
When hematite, Fe2O3(s), is strongly heated in a blast furnace in the presence of charcoal (carbon), pure
iron metal is obtained.
Fe2O3()
2 Fe(s) + 3/2 O2 (g)
(1)
C(s) + O2 (g) → CO2(g)
(2)
When reaction 1 is coupled to reaction 2, overall chemical equation is
Fe2O3() + 3/2 C()
3/2 CO2(g) + 2 Fee)
Use the thermodynamic data given below for the following calculations:
AG¡ (kJ/mol) | 4H¡ (kJ/mol) | S (J/mol-K)
Fe2O3(s)
-742.2
-824.2
87.40
Fes)
27.28
CO2(8)
-394.36
-393.51
213.74
C (6)
5.74
O2 (2)
205.14
a) Calculate the standard Gibb's free energy change for reaction 1
b) Calculate the standard Gibb’s free energy change for reaction 2.
c) What is the standard Gibb’s free energy change for the overall coupled reaction?
Transcribed Image Text:1. More than 2000 years ago human cultures figured out a way to produce iron metal from rocks containing iron ores. This iron could be worked by a blacksmith (repeated heating and hammering) to make iron metal pure enough for creating useful tools (even Samurai swords). This direct heating technique was common up until about 200 years ago when people found a better way to obtain iron metal. When hematite, Fe2O3(s), is strongly heated in a blast furnace in the presence of charcoal (carbon), pure iron metal is obtained. Fe2O3() 2 Fe(s) + 3/2 O2 (g) (1) C(s) + O2 (g) → CO2(g) (2) When reaction 1 is coupled to reaction 2, overall chemical equation is Fe2O3() + 3/2 C() 3/2 CO2(g) + 2 Fee) Use the thermodynamic data given below for the following calculations: AG¡ (kJ/mol) | 4H¡ (kJ/mol) | S (J/mol-K) Fe2O3(s) -742.2 -824.2 87.40 Fes) 27.28 CO2(8) -394.36 -393.51 213.74 C (6) 5.74 O2 (2) 205.14 a) Calculate the standard Gibb's free energy change for reaction 1 b) Calculate the standard Gibb’s free energy change for reaction 2. c) What is the standard Gibb’s free energy change for the overall coupled reaction?
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