The thermodynamic values from part A will be useful as you work through part B:   ΔH∘rxn 243.5kJ/mol ΔS∘rxn 172.0J/(mol⋅K)   Calculate the equilibrium constant for the following reaction at room temperature, 25 ∘C BaCO3(s)→BaO(s)+CO2(g)

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Chapter18: Thermodynamics And Equilibrium
Section: Chapter Questions
Problem 18.103QP
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The thermodynamic values from part A will be useful as you work through part B:

 

ΔH∘rxn 243.5kJ/mol
ΔS∘rxn 172.0J/(mol⋅K)

 

Calculate the equilibrium constant for the following reaction at room temperature, 25 ∘C

BaCO3(s)→BaO(s)+CO2(g)

Barium oxide, BaO, is manufactured by
decomposition of barium carbonate, BaCO3, in a
furnace at 600 K:
The thermodynamic properties for a reaction are related by the equation that defines the standard free energy, AG°, in
kJ/mol:
BaCO3 (s)→BA0(s) + CO2 (g)
AG°
ΔΗ-ΤΔ S
The spontaneity of a reaction can be determined
from the free energy change for the reaction, AG°.
where AH° is the standard enthalpy change in kJ/mol and AS° is the standard entropy change in J/(mol · K). A good
approximation of the free energy change at other temperatures, AGT , can also be obtained by utilizing this equation and
assuming enthalpy (AH°) and entropy (AS°) change little with temperature.
• A reaction is spontaneous when the
free energy change is less than zero.
• A reaction is nonspontaneous when
the free energy change is greater
Part A
than zero.
• A reaction is in equilibrium when the
free energy change is equal to zero.
For the decomposition of barium carbonate, consider the following thermodynamic data (Due to variations in
thermodynamic values for different sources, be sure to use the given values in calculating your answer.):
ΔΗ
243.5kJ/mol
ASm |172.0J/(mol · K)
rxn
Calculate the temperature in kelvins above which this reaction is spontaneous.
Express your answer to four significant figures and include the appropriate units.
• View Available Hint(s)
T = 1416 K
%3D
Transcribed Image Text:Barium oxide, BaO, is manufactured by decomposition of barium carbonate, BaCO3, in a furnace at 600 K: The thermodynamic properties for a reaction are related by the equation that defines the standard free energy, AG°, in kJ/mol: BaCO3 (s)→BA0(s) + CO2 (g) AG° ΔΗ-ΤΔ S The spontaneity of a reaction can be determined from the free energy change for the reaction, AG°. where AH° is the standard enthalpy change in kJ/mol and AS° is the standard entropy change in J/(mol · K). A good approximation of the free energy change at other temperatures, AGT , can also be obtained by utilizing this equation and assuming enthalpy (AH°) and entropy (AS°) change little with temperature. • A reaction is spontaneous when the free energy change is less than zero. • A reaction is nonspontaneous when the free energy change is greater Part A than zero. • A reaction is in equilibrium when the free energy change is equal to zero. For the decomposition of barium carbonate, consider the following thermodynamic data (Due to variations in thermodynamic values for different sources, be sure to use the given values in calculating your answer.): ΔΗ 243.5kJ/mol ASm |172.0J/(mol · K) rxn Calculate the temperature in kelvins above which this reaction is spontaneous. Express your answer to four significant figures and include the appropriate units. • View Available Hint(s) T = 1416 K %3D
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