For a given chemical reaction at 300 K the free energy change is and the enthalpy of reaction is . T — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

# Solution **Step 1: Identify the relationship between thermodynamic quantities** Use the Gibbs free energy equation: $$\Delta G = \Delta H - T\Delta S$$ **Step 2: Rearrange to solve for entropy change** $$\Delta S = \frac{\Delta H - \Delta G}{T}$$ **Step 3: Insert the given values** - ΔH = 100 kJ/mol = 100,000 J/mol - ΔG = -0.8 kJ/mol = -800 J/mol - T = 300 K $$\Delta S = \frac{100,000 - (-800)}{300}$$ **Step 4: Calculate the numerator** $$\Delta S = \frac{100,800}{300}$$ **Step 5: Divide to find entropy change** $$\Delta S = 336 \text{ J/(mol·K)}$$ Therefore, the answer is 336.00.