3. Application of AG to fuel cells We often associate AG with the idea of equilibrium. We will explore this relation in the next lectures. In this problem, let us briefly explore another interpretation of AG, i.e. how it relates to non-PV work. Suppose you are constructing a fuel cell i.e. a device that converts chemical energy into electrical work. Calculate the maximum amount of electrical work that can be extracted on a per mole basis if the fuel cell is run on the combustion of methane at T = 298 K and P = 1 bar. Assume that the products of combustion, i.e. reaction with oxygen gas, are carbon dioxide gas and liquid water. Note the following values: AH°c(CH4(g)) = -891 kJ mol-¹ and 5°(CO₂(g)) = 213.8 J mol¹¹ K¹¹, S°(H₂O(l)) = 70.0 J mol¹¹ K-¹, S°(CH4(g)) = 186.3 J mol¹¹ K´¹, and Sºᵒ(O₂(g)) = 205.2 J mol-¹ K-¹.

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**Application of ΔG to Fuel Cells**

We often associate ΔG (Gibbs free energy) with the idea of equilibrium. We will explore this relation in the next lectures. In this problem, let us briefly explore another interpretation of ΔG, i.e. how it relates to non-PV work. Suppose you are constructing a fuel cell, i.e., a device that converts chemical energy into electrical work. Calculate the maximum amount of electrical work that can be extracted on a per mole basis if the fuel cell is run on the combustion of methane at T = 298 K and P = 1 bar. Assume that the products of combustion, i.e., reaction with oxygen gas, are carbon dioxide gas and liquid water. 

Note the following values:
- ΔH°(CH₄(g)) = -891 kJ mol⁻¹
- S°(CO₂(g)) = 213.8 J mol⁻¹ K⁻¹
- S°(H₂O(l)) = 70.0 J mol⁻¹ K⁻¹
- S°(CH₄(g)) = 186.3 J mol⁻¹ K⁻¹
- S°(O₂(g)) = 205.2 J mol⁻¹ K⁻¹
Transcribed Image Text:**Application of ΔG to Fuel Cells** We often associate ΔG (Gibbs free energy) with the idea of equilibrium. We will explore this relation in the next lectures. In this problem, let us briefly explore another interpretation of ΔG, i.e. how it relates to non-PV work. Suppose you are constructing a fuel cell, i.e., a device that converts chemical energy into electrical work. Calculate the maximum amount of electrical work that can be extracted on a per mole basis if the fuel cell is run on the combustion of methane at T = 298 K and P = 1 bar. Assume that the products of combustion, i.e., reaction with oxygen gas, are carbon dioxide gas and liquid water. Note the following values: - ΔH°(CH₄(g)) = -891 kJ mol⁻¹ - S°(CO₂(g)) = 213.8 J mol⁻¹ K⁻¹ - S°(H₂O(l)) = 70.0 J mol⁻¹ K⁻¹ - S°(CH₄(g)) = 186.3 J mol⁻¹ K⁻¹ - S°(O₂(g)) = 205.2 J mol⁻¹ K⁻¹
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