Chapter 11: Problem 22
What is entropy? Does it increase or decrease during solution formation?
Short Answer
Expert verified
Entropy is a measure of the 'randomness' or 'disorder' in a system. It tends to increase during solution formation as the solute molecules get dispersed into the solvent, increasing the disorder of the system.
Step by step solution
01
Understanding Entropy
Entropy, often denoted as \(S\), is a thermodynamic property that is a measure of the 'randomness' or 'disorder' in a system. In an isolated system, processes happen in a way to maximize this disorder.
02
Solution Formation
A solution is formed when a solute is dissolved in a solvent. The process of solution formation includes breaking of solute-solute and solvent-solvent interactions, and formation of solute-solvent interactions.
03
Entropy Change During Solution Formation
When a solute dissolves in a solvent to form a solution, the system becomes more disordered. This means the molecules of the solute are dispersed in the solvent, hence increasing randomness. Consequently, the entropy of the system increases.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Thermodynamic Properties
Thermodynamic properties are crucial aspects of chemistry that describe the energy changes occurring during chemical reactions and phase transitions. One such property is entropy, denoted by the symbol \( S \), which relates to the amount of disorder within a system. In thermodynamics, we also consider energy content, or enthalpy (\(H\)), and the system's ability to do work (Gibbs free energy, \( G \) ). The interplay of these properties dictates the natural direction of physical and chemical changes. For instance, Gibbs free energy connects enthalpy, entropy, and temperature, giving insight into the spontaneous nature of reactions. Understanding these properties helps us predict whether a reaction will occur naturally and what changes will happen in the system's surroundings.
Solution Formation
The process of solution formation is characterized by the interaction of solute and solvent molecules. When a solid, liquid, or gas dissolves in a liquid solvent, it often undergoes a physical change that leads to the creation of a homogenous mixture or solution. This process generally involves three key steps: the separation of solute particles, the separation of solvent molecules, and the subsequent interaction between solute and solvent. For the solution to form, the energy required to break apart the solute and solvent interactions must be outweighed by the energy released when the solute-solvent interactions are established. This energy change can also influence the temperature of the solution, making it either an endothermic or exothermic process. Such processes are fundamental not only in the field of chemistry but also have practical applications in everyday life, from the saliva that dissolves food to the carbonated beverages we drink.
Entropy Change
Entropy change is an important parameter that indicates the degree of randomness or disorder in a system as it undergoes a process. During solution formation, the solute particles disperse throughout the solvent, increasing the dispersal of particles and thus the system's entropy. This dispersion leads to a greater number of possible arrangements for the particles, synonymous with increased disorder. In a thermodynamic context, processes that increase entropy are naturally favored in an isolated system. However, entropy change is not the only driving force for a process; it is often considered alongside enthalpy changes to determine the direction and extent of a process, such as through the calculation of Gibbs free energy.
Disorder in a System
Disorder in a system, or entropy, is a central idea in the science of thermodynamics. It can be conceptually related to the number of ways particles can be arranged in a system. A higher entropy value corresponds to a greater level of disorder and a higher number of possible arrangements. Natural processes often proceed towards an increase in disorder; for example, gases expand to fill a container, ice melts into water, and solutes dissolve in solvents. This tendency is a reflection of the Second Law of Thermodynamics, which states that the total entropy of an isolated system can never decrease over time. Another way to understand disorder is by considering the predictability of particle positions within a system. In a highly ordered solid crystal, particles are well arranged, making their positions predictable. In a gas, however, particles are much more randomly distributed, making their positions less predictable and thus more disordered.