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The following processes were all discussed in Chapter 18 "Chemistry of the Environment." Estimate whether the entropy of the system increases or decreases during each ozone from oxygen molecules and oxygen atoms, (c) diffusion of CFCs into the stratosphere, (d) desalination of water by reverse osmosis.

Short Answer

Expert verified
In summary, during the formation of ozone from oxygen molecules and oxygen atoms, the entropy of the system decreases. When CFCs diffuse into the stratosphere, the entropy of the system increases. Lastly, during the desalination of water by reverse osmosis, the entropy of the system decreases.

Step by step solution

01

Process (a): Formation of ozone from oxygen molecules and oxygen atoms

When ozone (O₃) forms from oxygen molecules (O₂) and oxygen atoms (O), the process can be represented as follows: \(O₂ + O \rightarrow O₃ \). In this process, two particles are combining to form a single particle. As a result, the number of available microstates for the system decreases, which means the entropy of the system decreases. Therefore, during the formation of ozone, the entropy of the system decreases.
02

Process (b): Diffusion of CFCs into the stratosphere

During the diffusion of chlorofluorocarbons (CFCs) into the stratosphere, the CFC molecules spread out and disperse within the stratosphere. This increases the number of available microstates and the randomness of the system. Therefore, the entropy of the system increases during the diffusion of CFCs into the stratosphere.
03

Process (c): Desalination of water by reverse osmosis

In the desalination process by reverse osmosis, a high pressure is applied to the salty water, forcing the water molecules to pass through a semipermeable membrane, leaving the salt ions and other impurities behind. In this process, the water molecules become more ordered as they are separated from the salt ions, resulting in a decrease of available microstates for the system. Therefore, the entropy of the system decreases during desalination of water by reverse osmosis. To summarize, the entropy changes for each process are: 1. Formation of ozone: Entropy decreases. 2. Diffusion of CFCs: Entropy increases. 3. Desalination by reverse osmosis: Entropy decreases.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Ozone formation
Ozone formation is a fascinating chemical process that involves the transformation of oxygen molecules (O₂) and oxygen atoms (O) into ozone (O₃). This reaction can be depicted as: \[ O₂ + O \rightarrow O₃ \]In this process, three separate oxygen atoms bond to form a singular ozone molecule, which leads to a decrease in the number of particles in the system. When fewer particles are present, the number of ways, or microstates, that the system can organize itself diminishes. Consequently, this reduction in microstates results in a decrease in entropy, which measures the disorder or randomness in a system. In essence, as ozone forms, the order increases, leading to lower entropy.
Diffusion process
Diffusion is a natural process where particles spread from areas of high concentration to areas of lower concentration. Imagine a perfume bottle opened in a room, and shortly, the fragrance is detectable throughout the space. This spreading of particles increases disorder and randomness. Similarly, when chlorofluorocarbons (CFCs), gases once commonly used in refrigerants, diffuse into the stratosphere, they move from concentrated locations to a more scattered distribution. This transition results in more possible arrangements or microstates for the molecules, increasing the entropy of the system. Therefore, diffusion, including the diffusion of CFCs, generally leads to an increase in entropy.
Desalination process
Desalination is the process of removing salt and impurities from saline water to produce fresh water. One advanced method is reverse osmosis, often used in areas where fresh water is scarce. The main principle involves applying high pressure to push water molecules through a semipermeable membrane, which blocks the passage of salt ions and impurities. The act of sorting water molecules from salt ions creates a more ordered system since impurity particles are left behind. This decrease in disorder, or fewer microstates for the separated water, results in a decrease in entropy. While desalination provides vital fresh water resources, it inherently makes the treated system more ordered, thus lowering its entropy.
Microstates
Microstates are the different possible configurations in which a system's individual components can be arranged. They are a fundamental concept in understanding entropy. The more microstates available, the higher the entropy, indicating greater disorder. In simple terms, think of microstates like shuffling a deck of cards—the deck can be in many different orders. If a process combines particles to form fewer, more organized molecules, such as in ozone formation, it results in fewer options and thus decreases entropy. Conversely, processes like diffusion increase the number of possible microstates, raising entropy levels.
Reverse osmosis
Reverse osmosis is a technical method used for desalination—a critical process in making non-potable water safe for human use and agriculture. In reverse osmosis, pressure is applied to force water through a selective membrane, effectively filtering impurities like salt. The process relies on its ability to hinder salt ions from passing through while letting water molecules freely travel across the membrane. While the method effectively produces fresh water, it also organizes the system by removing salts. This ordered separation implies that the number of microstates decreases, thus leading to a reduction in entropy within the treated system.
Chlorofluorocarbons (CFCs)
Chlorofluorocarbons, or CFCs, are compounds made up of chlorine, fluorine, and carbon. They were once widely employed in household products like refrigerators and aerosol sprays before their contribution to ozone layer depletion was understood. When CFCs are released into the atmosphere, they eventually migrate into the stratosphere through diffusion. This journey increases the entropy of the system by allowing the molecules to spread and occupy more microstates. The randomness and chaos of their dispersion contribute significantly to the measure of disorder, which is fundamental to the concept of entropy. Despite their useful properties, the environmental impact of CFCs on ozone makes their management crucial.

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Most popular questions from this chapter

Consider the following reaction between oxides of nitrogen: $$ \mathrm{NO}_{2}(g)+\mathrm{N}_{2} \mathrm{O}(g) \longrightarrow 3 \mathrm{NO}(g) $$ (a) Use data in Appendix C to predict how \(\Delta G\) for the reaction varies with increasing temperature. (b) Calculate \(\Delta G\) at \(800 \mathrm{K},\) assuming that \(\Delta H^{\circ}\) and \(\Delta S^{\circ}\) do not change with temperature. Under standard conditions is the reaction spontaneous at 800 \(\mathrm{K} ?\) (c) Calculate \(\Delta G\) at 1000 \(\mathrm{K} .\) Is the reaction spontaneous under standard conditions at this temperature?

Using the data in Appendix \(C\) and given the pressures listed, calculate \(K_{p}\) and \(\Delta G\) for each of the following reactions: $$ \begin{array}{l}{\text { (a) } \mathrm{N}_{2}(g)+3 \mathrm{H}_{2}(g) \longrightarrow 2 \mathrm{NH}_{3}(g)} \\ {P_{\mathrm{N}_{2}}=2.6 \mathrm{atm}, P_{\mathrm{H}_{2}}=5.9 \mathrm{atm}, R_{\mathrm{NH}_{3}}=1.2 \mathrm{atm}} \\ {\text { (b) } 2 \mathrm{N}_{2} \mathrm{H}_{4}(g)+2 \mathrm{NO}_{2}(g) \longrightarrow 3 \mathrm{N}_{2}(g)+4 \mathrm{H}_{2} \mathrm{O}(g)} \\ {P_{\mathrm{N}_{2} \mathrm{H}_{4}}=P_{\mathrm{NO}_{2}}=5.0 \times 10^{-2} \mathrm{atm}} \\ {P_{\mathrm{N}_{2}}=0.5 \mathrm{atm}, P_{\mathrm{H}_{2} \mathrm{O}}=0.3 \mathrm{atm}}\\\\{\text { (c) }{\mathrm{N}_{2} \mathrm{H}_{4}(g) \longrightarrow \mathrm{N}_{2}(g)+2 \mathrm{H}_{2}(g)}} \\ {P_{\mathrm{N}_{2} \mathrm{H}_{4}}=0.5 \mathrm{atm}, P_{\mathrm{N}_{2}}=1.5 \mathrm{atm}, P_{\mathrm{H}_{2}}=2.5 \mathrm{atm}}\end{array} $$

In each of the following pairs, which compound would you expect to have the higher standard molar entropy: (a) \(\mathrm{C}_{2} \mathrm{H}_{2}(g)\) or \(\mathrm{C}_{2} \mathrm{H}_{6}(g),(\mathbf{b}) \mathrm{CO}_{2}(g)\) or \(\mathrm{CO}(g) ?\)

Indicate whether each statement is true or false. (a) The entropy of the universe increases for any spontaneous process. (b) The entropy change of the system is equal and opposite that of the surroundings for any irreversible process. (c) The entropy of the system must increase in any spontaneous process. (a) The entropy change for an isothermal process depends on both the absolute temperature and the amount of heat reversibly transferred.

Indicate whether \(\Delta G\) increases, decreases, or does not change when the partial pressure of \(\mathrm{H}_{2}\) is increased in each of the following reactions: $$ \begin{array}{l}{\text { (a) } \mathrm{N}_{2}(g)+3 \mathrm{H}_{2}(g) \longrightarrow 2 \mathrm{NH}_{3}(g)} \\ {\text { (b) } 2 \mathrm{HBr}(g) \longrightarrow \mathrm{H}_{2}(g)+\mathrm{Br}_{2}(g)} \\ {\text { (c) } 2 \mathrm{H}_{2}(g)+\mathrm{C}_{2} \mathrm{H}_{2}(g) \longrightarrow \mathrm{C}_{2} \mathrm{H}_{6}(g)}\end{array} $$

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