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Ch.19 - Chemical Thermodynamics
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232당신이 사용하는 게 아니라요?교과서 변경
19장, 문제 91

Ammonium nitrate dissolves spontaneously and endothermally in water at room temperature. What can you deduce about the sign of ΔS for this dissolution process?

검증된 단계별 안내
1
Step 1: Understand the process: Ammonium nitrate dissolving in water is a physical process where the solid ammonium nitrate dissociates into its ions in the aqueous solution.
Step 2: Recognize the nature of the process: The dissolution is spontaneous and endothermic, meaning it absorbs heat from the surroundings.
Step 3: Apply the Gibbs Free Energy equation: The spontaneity of a process is determined by the Gibbs Free Energy change (ΔG), where ΔG = ΔH - TΔS. For a process to be spontaneous, ΔG must be negative.
Step 4: Analyze the terms: Since the process is endothermic, ΔH is positive. For ΔG to be negative (spontaneous process), the TΔS term must be large enough to overcome the positive ΔH.
Step 5: Deduce the sign of ΔS: Since TΔS must be positive and large to make ΔG negative, ΔS (change in entropy) must be positive, indicating an increase in disorder as the solid dissolves into ions.

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Dissolution Process

The dissolution process involves a solute (in this case, ammonium nitrate) interacting with a solvent (water) to form a solution. This process can be influenced by temperature, pressure, and the nature of the solute and solvent. Understanding how solutes dissolve helps in predicting the thermodynamic behavior of solutions.
추천 영상:
가이드 코스
04:20
Spontaneity of Processes

Enthalpy Change (ΔH)

Enthalpy change (ΔH) refers to the heat absorbed or released during a chemical process at constant pressure. In the case of ammonium nitrate, the dissolution is described as endothermic, meaning it absorbs heat from the surroundings. This characteristic influences the overall energy balance of the dissolution process and is crucial for understanding the thermodynamic favorability.
추천 영상:
가이드 코스
02:34
Enthalpy of Formation

Entropy Change (ΔS)

Entropy change (ΔS) is a measure of the disorder or randomness in a system. A positive ΔS indicates an increase in disorder, while a negative ΔS suggests a decrease. In the context of ammonium nitrate dissolving in water, the spontaneous nature of the process implies that despite being endothermic, the increase in disorder from solute particles dispersing in the solvent leads to a positive ΔS.
추천 영상:
가이드 코스
01:46
Entropy in Phase Changes
관련 실천
교과서 질문

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A standard air conditioner involves a refrigerant that is typically now a fluorinated hydrocarbon, such as CH2F2. An air-conditioner refrigerant has the property that it readily vaporizes at atmospheric pressure and is easily compressed to its liquid phase under increased pressure. The operation of an air conditioner can be thought of as a closed system made up of the refrigerant going through the two stages shown here (the air circulation is not shown in this diagram).

During expansion, the liquid refrigerant is released into an expansion chamber at low pressure, where it vaporizes. The vapor then undergoes compression at high pressure back to its liquid phase in a compression chamber. (c) In a central air-conditioning system, one chamber is inside the home and the other is outside. Which chamber is where, and why?

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Trouton’s rule states that for many liquids at their normal boiling points, the standard molar entropy of vaporization is about 88 J/mol‐K. b. Look up the normal boiling point of Br2 in a chemistry handbook or at the WebElements website (www.webelements.com) and compare it to your calculation. What are the possible sources of error, or incorrect assumptions, in the calculation?

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A standard air conditioner involves a refrigerant that is typically now a fluorinated hydrocarbon, such as CH2F2. An air-conditioner refrigerant has the property that it readily vaporizes at atmospheric pressure and is easily compressed to its liquid phase under increased pressure. The operation of an air conditioner can be thought of as a closed system made up of the refrigerant going through the two stages shown here (the air circulation is not shown in this diagram).

During expansion, the liquid refrigerant is released into an expansion chamber at low pressure, where it vaporizes. The vapor then undergoes compression at high pressure back to its liquid phase in a compression chamber. (e) Suppose that a house and its exterior are both initially at 31 °C. Some time after the air conditioner is turned on, the house is cooled to 24 °C. Is this process spontaneous or nonspontaneous?

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The reaction 2 Mg(s) + O2(g) ⟶ 2 MgO(s) is highly spontaneous. A classmate calculates the entropy change for this reaction and obtains a large negative value for ΔS°. Did your classmate make a mistake in the calculation? Explain.

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Consider a system that consists of two standard playing dice, with the state of the system defined by the sum of the values shown on the top faces. (f) Calculate the absolute entropy of the two-dice system.

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