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Ch.13 - Properties of Solutions
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 13, Problema 21b

Two nonpolar organic liquids, hexane (C6H14) and heptane (C7H16), are mixed. (b) Hexane and heptane are miscible with each other in all proportions. In making a solution of them, is the entropy of the system increased, decreased, or close to zero, compared to the separate pure liquids?

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1
Understand that entropy is a measure of disorder or randomness in a system.
Recognize that mixing two substances generally increases the entropy of the system because the molecules are more randomly distributed.
Consider that both hexane and heptane are nonpolar organic liquids, which means they have similar intermolecular forces and are miscible in all proportions.
When hexane and heptane are mixed, the system becomes more disordered as the molecules of each liquid are distributed throughout the mixture.
Conclude that the entropy of the system increases when hexane and heptane are mixed, compared to when they are separate pure liquids.

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Entropy

Entropy is a measure of the disorder or randomness in a system. In thermodynamics, it quantifies the number of ways a system can be arranged, with higher entropy indicating greater disorder. When two substances mix, such as hexane and heptane, the overall disorder of the system typically increases, leading to a higher entropy state compared to the separate pure liquids.
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Entropy in Thermodynamics

Miscibility

Miscibility refers to the ability of two substances to mix in all proportions without separating into different phases. Hexane and heptane are both nonpolar organic liquids, which allows them to mix completely. This property is crucial in understanding how the mixing of these liquids affects the system's entropy, as miscible liquids tend to increase disorder upon mixing.
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Solubility and Mixtures

Thermodynamic Favorability

Thermodynamic favorability relates to the tendency of a process to occur spontaneously based on changes in energy and entropy. When hexane and heptane mix, the increase in entropy generally makes the mixing process thermodynamically favorable. This means that the system's overall energy state is lowered, and the process is likely to occur naturally, contributing to the increase in entropy.
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First Law of Thermodynamics