Calculate ΔG_rxn at 298 K under the conditions shown below for the following reaction. CaCO₃(s) → CaO(s) + CO₂(g) ΔG° = +131.1 kJ
P(CO₂) = 0.033 atm

Question

Calculate ΔG_rxn at 298 K under the conditions shown below for the following reaction. CaCO₃(s)→ CaO(s)+ CO₂(g)ΔG° = +131.1 kJ P(CO₂)= 0.033 atm

Quizplus · Accepted Answer

To calculate ΔG under non-standard conditions, use the formula ΔG = ΔG° + RTlnQ, where Q is the reaction quotient. For the given reaction, Q = P(CO2), since it's the only gaseous product. At 298 K, R = 8.314 J/(mol·K) (or 0.008314 kJ/(mol·K) for consistency with ΔG° units). Thus, ΔG = 131.1 kJ + (0.008314 kJ/(mol·K) * 298 K * ln(0.033)). Calculating this gives a ΔG close to +122.6 kJ, indicating that the reaction is less spontaneous under the given conditions than under standard conditions, but still not spontaneous.

Calculate ΔGrxn at 298 K Under the Conditions Shown Below

Calculate ΔG_rxn at 298 K Under the Conditions Shown Below