# Problem: Consider the following reaction: PbCO3 (s) ⇌ PbO(s) + CO2 (g)Using data in Appendix C in the textbook, calculate the equilibrium pressure of CO2 in the system at 410 oC.

###### FREE Expert Solution

We’re asked to calculate the equilibrium pressure of CO2 at 410°C using standard thermodynamic data for the given balanced reaction:

PbCO3 (s) ⇌ PbO(s) + CO2 (g)

Recall that the equilibrium constant is the ratio of the products and reactants. We use Kp when dealing with pressure

$\overline{){{\mathbf{K}}}_{{\mathbf{p}}}{\mathbf{=}}\frac{{\mathbf{P}}_{\mathbf{products}}}{{\mathbf{P}}_{\mathbf{reactants}}}}$

Note that solid and liquid compounds are ignored in the equilibrium expression.

Also, recall that ΔG˚rxn and K are related to each other:

$\overline{){\mathbf{\Delta G}}{{\mathbf{°}}}_{{\mathbf{rxn}}}{\mathbf{=}}{\mathbf{-}}{\mathbf{RTlnK}}}$

The thermodynamic data ( ΔH˚f and ΔS˚) of each reactant and product can be found in textbooks/online:

 Substance ΔH˚f (kJ/mol) S˚ (J/mol • K) PbCO3 (s) –699.1 131.0 PbO(s) –217.3 68.7 CO2 (g) –393.5 213.8

We can use the following equation to solve for ΔG˚rxn:

$\overline{){\mathbf{\Delta G}}{{\mathbf{°}}}_{{\mathbf{rxn}}}{\mathbf{=}}{\mathbf{\Delta H}}{{\mathbf{°}}}_{{\mathbf{rxn}}}{\mathbf{-}}{\mathbf{T\Delta S}}{{\mathbf{°}}}_{{\mathbf{rxn}}}}$

For this problem we need to do these steps:

Step 1: Calculate ΔH˚rxn.

Step 2: Calculate ΔS˚rxn.

Step 3: Use ΔH˚rxn and ΔS˚rxn to calculate for ΔG˚rxn.

Step 4: Calculate for K (Kp).

Step 5: From Kp, solve for equilibrium partial pressure of CO2

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###### Problem Details
Consider the following reaction: PbCO3 (s) ⇌ PbO(s) + CO2 (g)

Using data in Appendix C in the textbook, calculate the equilibrium pressure of CO2 in the system at 410 oC.

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Gibbs Free Energy concept. You can view video lessons to learn Gibbs Free Energy Or if you need more Gibbs Free Energy practice, you can also practice Gibbs Free Energy practice problems .

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Stoltzfus' class at OSU.