Two cubic containers (Figure P17.2) contain the same...

Name: Problem 2, Chapter 17: Chemistry The Science in Context
Uploaded: 2020-05-13T17:24:55-08:00
Duration: 1 min 36 s
Channel: Cevannah Coleman
Description: Two cubic containers (Figure P17.2) contain the same quantity of gas at the same temperature. Which cube contains gas with more entropy? If the sample in part (b) is left unchanged but the sample in part (a) is cooled so that it condenses, which sample has the higher entropy? a.(FIGURE CAN'T COPY) b.(FIGURE CAN'T COPY)

Two cubic containers (Figure P17.2) contain the same quantity of gas at the same temperature. Which cube contains gas with more entropy? If the sample in part (b) is left unchanged but the sample in part (a) is cooled so that it condenses, which sample has the higher entropy? a.(FIGURE CAN'T COPY) b.(FIGURE CAN'T COPY)

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Key Concepts

Entropy

Entropy is a thermodynamic quantity that measures the degree of disorder or randomness in a system. It is related to the number of microstates available to the system, meaning that a state with more possible microscopic arrangements has higher entropy.

Volume Dependence of Entropy

For an ideal gas kept at constant temperature, the entropy increases with volume because a larger volume allows the gas molecules more possible positions, thereby increasing the number of microstates accessible to the system. This is often expressed by the logarithmic relation between entropy and volume in the ideal gas entropy formula.

Phase Transition and Entropy Change

When a substance undergoes a phase transition, such as condensation from gas to liquid, there is typically a significant decrease in entropy. This is because the liquid phase is much more ordered than the gaseous phase, resulting in fewer available microstates for the molecules and hence lower entropy.

State Function

Entropy is a state function, which means its value depends only on the current state of the system and not on the path taken to reach that state. This concept is fundamental in comparing the entropy between different systems that might have undergone various processes, such as expansion or phase change.

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