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Refer to the phase diagram depicted below: if a sample is made by mixing 3 moles of A and 7 moles of B at 50oC, identify the phases exist in the system:

Refer to the phase diagram depicted below: if a sample is made by mixing 3 moles of A and 7 moles of B at 50oC, identify the phases exist in the system:

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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2. Refer to the phase diagram depicted below: if a sample is made by mixing 3 moles of A and 7 moles of B at 50oC, identify the phases exist in the system:

   

one phase: vapor
   

one phase: liquid
   

two phases: vapor and liquid
   

two phases: two liquid
This image represents a phase diagram that illustrates the relationship between temperature and mole fraction of component B (\(x_B\)) in a binary mixture. The graph is divided into several sections with temperature on the vertical axis and mole fraction of B on the horizontal axis. The mole fraction of B ranges from 0 to 1. ### Key Features of the Diagram: 1. **Axes:** - The vertical axis is labeled as "Temperature" and is marked in increments of 20, ranging from 0 to 120. - The horizontal axis is labeled as "Mole fraction of B, \(x_B\)" and ranges from 0 to 1. 2. **Curves:** - There are two prominent curves on the diagram, each representing different phase boundaries in the system. - The **upper curve** starts at a high temperature on the left (mole fraction of B = 0) and initially decreases, reaching a minimum around \(x_B = 0.3\). It then increases as it moves towards mole fraction = 1. - The **lower curve** starts low at mole fraction = 0, reaches a peak around \(x_B = 0.2\), and then decreases towards mole fraction = 1. 3. **Regions:** - These curves typically define areas of different phases within a binary system: - The region above both curves likely represents a single-phase liquid region (complete miscibility). - The area between the curves suggests the presence of two coexisting phases (often liquid and gas or two different liquids). - Below the lower curve might be a single solid phase region. 4. **Phases:** - Phase A and Phase B are indicated along the axes, with A corresponding to \(x_B = 0\) and B corresponding to \(x_B = 1\). This diagram is a classic representation of a temperature-composition phase diagram used in chemistry and material science to understand the thermodynamic behavior of binary mixtures. It provides insights into phase transitions and the conditions necessary for different phases to coexist in equilibrium.
Transcribed Image Text:This image represents a phase diagram that illustrates the relationship between temperature and mole fraction of component B (\(x_B\)) in a binary mixture. The graph is divided into several sections with temperature on the vertical axis and mole fraction of B on the horizontal axis. The mole fraction of B ranges from 0 to 1. ### Key Features of the Diagram: 1. **Axes:** - The vertical axis is labeled as "Temperature" and is marked in increments of 20, ranging from 0 to 120. - The horizontal axis is labeled as "Mole fraction of B, \(x_B\)" and ranges from 0 to 1. 2. **Curves:** - There are two prominent curves on the diagram, each representing different phase boundaries in the system. - The **upper curve** starts at a high temperature on the left (mole fraction of B = 0) and initially decreases, reaching a minimum around \(x_B = 0.3\). It then increases as it moves towards mole fraction = 1. - The **lower curve** starts low at mole fraction = 0, reaches a peak around \(x_B = 0.2\), and then decreases towards mole fraction = 1. 3. **Regions:** - These curves typically define areas of different phases within a binary system: - The region above both curves likely represents a single-phase liquid region (complete miscibility). - The area between the curves suggests the presence of two coexisting phases (often liquid and gas or two different liquids). - Below the lower curve might be a single solid phase region. 4. **Phases:** - Phase A and Phase B are indicated along the axes, with A corresponding to \(x_B = 0\) and B corresponding to \(x_B = 1\). This diagram is a classic representation of a temperature-composition phase diagram used in chemistry and material science to understand the thermodynamic behavior of binary mixtures. It provides insights into phase transitions and the conditions necessary for different phases to coexist in equilibrium.
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