Volume, V Pressure, p Temperature, T

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
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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In the figure below, label the isotherm(A), isobar (B), and Isochore (C), and explain their meaning.
This image displays a 3D graph that represents the relationship between Pressure (P), Volume (V), and Temperature (T) for a gas. It serves as a visual representation of the ideal gas law, which can be expressed as PV = nRT.

### Explanation of the Graph:

1. **Axes**:
   - The X-axis represents Volume (V).
   - The Y-axis represents Pressure (P).
   - The Z-axis represents Temperature (T).

2. **Curved Surface**:
   - The graph features a curved surface illustrating how the three variables are interrelated.
   - As Volume increases, either Pressure or Temperature or both have to adjust to maintain the state depicted on the surface.

3. **Intersections**:
   - Various lines intersect the surface, indicating different states or conditions under which the relationship holds.
   - These intersections may represent isotherms (lines of constant temperature), isobars (lines of constant pressure), or isochores (lines of constant volume).

This graph is helpful for understanding how changing one variable (e.g., Temperature) affects the other two in the context of an ideal gas. It is a fundamental concept in thermodynamics and physical chemistry.
Transcribed Image Text:This image displays a 3D graph that represents the relationship between Pressure (P), Volume (V), and Temperature (T) for a gas. It serves as a visual representation of the ideal gas law, which can be expressed as PV = nRT. ### Explanation of the Graph: 1. **Axes**: - The X-axis represents Volume (V). - The Y-axis represents Pressure (P). - The Z-axis represents Temperature (T). 2. **Curved Surface**: - The graph features a curved surface illustrating how the three variables are interrelated. - As Volume increases, either Pressure or Temperature or both have to adjust to maintain the state depicted on the surface. 3. **Intersections**: - Various lines intersect the surface, indicating different states or conditions under which the relationship holds. - These intersections may represent isotherms (lines of constant temperature), isobars (lines of constant pressure), or isochores (lines of constant volume). This graph is helpful for understanding how changing one variable (e.g., Temperature) affects the other two in the context of an ideal gas. It is a fundamental concept in thermodynamics and physical chemistry.
Expert Solution
Step 1

Mass or moles of the given substance is constant. Then, we can relate P, V and T from the plot between P, V and T.

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