The thermal dissociation equilibrium of CaCO 3 s ⁡ is studied under different conditions. CaCO 3 s…

The thermal dissociation equilibrium of CaCO3s⁡ is studied under different conditions.
CaCO3s⁡⇌CaOs⁡+CO2g
For this equilibrium, the correct statement(s) is/are
  1. ∆H is dependent on T.
  2. K is independent of the initial amount of CaCO3.
  3. K is dependent on the pressure of CO2​ at a given T.
  4. ∆H is independent of the catalyst, if any.

Solution

$\Delta H_{T}=\Delta H^{\circ}+\int_{298}^{T}\Delta Cp_{\text{reac}}\,dT$ $\Delta H_{\text{reac}}$ is dependent on temperature. $K=\frac{[CO_{2}]\times1}{1}$ as solids are treated at unit activity. $K$ is independent of initial amount of $CaCO_{3}$. $K_{p}=pCO_{2}(g)$ at a given temperature $K_{p}$ depends only on temperature. $\Delta H=E_{a(\text{for})}-E_{b(\text{back})}$ A catalyst lowers only the activation energies and $\Delta H_{\text{react}}$ is independent of catalyst.

Asked in: JEE Advanced 2013 (Paper 2)

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