Methanol (CH3OH) burns in oxygen to form carbon dioxide and water. Write a balanced equation for the combustion of liquid methanol and calculate ΔH°rxn, ΔS°rxn, and ΔG°rxn at 25 °C. Is the combustion of methanol spontaneous?
Ch.18 - Free Energy and Thermodynamics
18장, 문제 60
In photosynthesis, plants form glucose (C6H12O6) and oxygen from carbon dioxide and water. Write a balanced equation for photosynthesis and calculate ΔH°rxn, ΔS°rxn, and ΔG°rxn at 25 °C. Is photosynthesis spontaneous?
검증된 단계별 안내1
Write the unbalanced chemical equation for photosynthesis: CO2 + H2O -> C6H12O6 + O2.
Balance the chemical equation by ensuring the number of atoms of each element is the same on both sides: 6 CO2 + 6 H2O -> C6H12O6 + 6 O2.
Calculate ΔH°rxn using standard enthalpies of formation: ΔH°rxn = ΣΔH°f(products) - ΣΔH°f(reactants).
Calculate ΔS°rxn using standard entropies: ΔS°rxn = ΣS°(products) - ΣS°(reactants).
Calculate ΔG°rxn using the Gibbs free energy equation: ΔG°rxn = ΔH°rxn - TΔS°rxn, where T is the temperature in Kelvin. Determine if the reaction is spontaneous by checking if ΔG°rxn is negative.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Balanced Chemical Equation
A balanced chemical equation represents a chemical reaction with equal numbers of each type of atom on both sides of the equation. In photosynthesis, the equation is typically written as 6CO2 + 6H2O → C6H12O6 + 6O2. Balancing ensures the law of conservation of mass is upheld, meaning that matter is neither created nor destroyed during the reaction.
추천 영상:
가이드 코스
Balancing Chemical Equations
Thermodynamics (ΔH°, ΔS°, ΔG°)
Thermodynamics involves the study of energy changes in chemical reactions. ΔH°rxn represents the change in enthalpy, indicating whether a reaction is exothermic or endothermic. ΔS°rxn is the change in entropy, reflecting the disorder of the system. ΔG°rxn, the Gibbs free energy change, determines the spontaneity of a reaction; a negative ΔG°rxn indicates a spontaneous process.
추천 영상:
가이드 코스
First Law of Thermodynamics
Spontaneity of Reactions
A reaction is considered spontaneous if it occurs without external intervention. In thermodynamics, spontaneity is assessed using the Gibbs free energy change (ΔG°rxn). If ΔG°rxn is negative, the reaction is spontaneous under standard conditions. In the context of photosynthesis, despite being endothermic, it is driven by sunlight, making it effectively spontaneous in nature.
추천 영상:
가이드 코스
Spontaneity of Processes
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