Is ΔH Dependent on Temperature in CaCO3 Dissociation Equilibrium?

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SUMMARY

The discussion focuses on the thermal dissociation equilibrium of calcium carbonate (CaCO3) and its temperature dependence. The correct statements regarding this equilibrium are that ΔH is dependent on temperature (A), the equilibrium constant (Keq) is independent of the initial amount of CaCO3 (B), and ΔH is independent of any catalyst (D). The participant confirms that ΔH is proportional to temperature based on the equation ΔH = TΔS at equilibrium, and clarifies that Keq is a fixed value at a given temperature, despite the pressure of CO2 being a factor in its calculation.

PREREQUISITES
  • Understanding of chemical equilibrium concepts
  • Familiarity with thermodynamic equations, specifically ΔG and ΔH
  • Knowledge of Kirchhoff's law in thermodynamics
  • Basic principles of the ideal gas law
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  • Study the implications of Kirchhoff's law on enthalpy changes
  • Learn about the relationship between temperature and equilibrium constants
  • Explore the concept of Hess's Law in thermodynamics
  • Investigate the effects of pressure on gas-phase equilibria
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Chemistry students, educators, and professionals interested in thermodynamics and chemical equilibrium, particularly those studying the dissociation of compounds like CaCO3.

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Homework Statement


The thermal dissociation equilibrium of CaCO3 (s) is studied under different conditions.
CaCO3 ⇔ CaO (s) + CO2 (g)
For this equilibrium, the correct statement(s) is (are)
(A) ΔH is dependent on T
(B) Keq is independent of the initial amount of CaCO3
(C) Keq is dependent on the pressure of CO2 at a given T
(D) ΔH is independent of the catalyst, if any

Answers are (A), (B) and (D)

Homework Equations

The Attempt at a Solution


I need someone to tell me if my justification for (A) is correct, and clear a doubt I have on (C).

For (A), since this reaction is taken to be at equilibrium ΔG = 0.
ΔG = ΔH - TΔS
⇒ ΔH = TΔS (at eq)
Since ΔH ∝ T
(A) is correct.

I'm asking this because I think my reasoning might be wrong as I saw a justification involving Kirchhoff's law, http://chemwiki.ucdavis.edu/Core/Ph...namics/State_Functions/Enthalpy/Kirchhoff_Law

For (C), I'm well aware that equilibrium constants are independent of concentrations of reactants and products, and they are a fixed value for a given reaction at a given temperature.
However, I'm unable to reason why this is so. In this case Kp = (pco2)eq, i.e. partial pressure of CO2 at equilibrium. So isn't is directly dependent on the pressure of CO2, even though the pressure of CO2 at equilibrium is a fixed value at a given temperature and volume due to ideal gas law?

Thank you!
 
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Perhaps they meant that Keq is independent of the starting concentration of CO2.
 
The reason A is correct can be explained in terms of Hess's Law.

Regarding choice C, I think you're "well aware" explanation is right on target.
 

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