The diagram shown below is a theoretical representation of the phase diagram for carbon. The hatched regions indicate conditions under which the phase is predicted to be metastable— in effect this means that multiple phases can co-exist in these regions. Using this diagram, answer the following questions concerning the phases of carbon. Note the indicated scales for the horizontal and vertical axes (1 bar = 0.0001 GPa). 1000T 100- p/GPa 10 0.1- 0.01 0.001+ i diamond graphite T 2 liquid vapor 4 5 6 7 8 9 10 T/1000 K (a) Does graphite melt or sublime at 10 bars of pressure? (b) If pressure remains constant, what are the possible phase transitions for diamond at 4500 K as T is increased? (c) Identify the approximate temperature and pressure of the standard solid-liquid-gas triple point on this diagram. Are there other triple points indicated in the diagram? (d) Estimate the maximum temperature at which graphite can exist at P = 1 GPa. What would happen if the pressure is increased for a sample of graphite at this temperature?

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...
icon
Related questions
Question
The diagram shown below is a theoretical representation of the phase diagram for carbon. The hatched regions indicate conditions under which the phase is predicted to be metastable— in effect, this means that multiple phases can co-exist in these regions. Using this diagram, answer the following questions concerning the phases of carbon. Note the indicated scales for the horizontal and vertical axes (1 bar = 0.0001 GPa).

**Graph Explanation:**

- **Axes:** 
  - The horizontal axis represents temperature (T) in units of \( T/1000 \, K \).
  - The vertical axis represents pressure (P) in GPa.
   
- **Phases:**
  - **Graphite Region:** Dark grey area at lower pressures and a range of temperatures.
  - **Diamond Region:** Yellow area at higher pressures.
  - **Liquid Region:** Blue area at moderate to high temperatures and pressures.
  - **Vapor Region:** Green area at high temperatures and low pressures.

- **Metastable Regions:** Hatched areas where multiple phases can exist.

**Questions:**

(a) Does graphite melt or sublime at 10 bars of pressure?

(b) If pressure remains constant, what are the possible phase transitions for diamond at 4500 K as \( T \) is increased?

(c) Identify the approximate temperature and pressure of the standard solid-liquid-gas triple point on this diagram. Are there other triple points indicated in the diagram?

(d) Estimate the maximum temperature at which graphite can exist at \( P = 1 \, GPa \). What would happen if the pressure is increased for a sample of graphite at this temperature?
Transcribed Image Text:The diagram shown below is a theoretical representation of the phase diagram for carbon. The hatched regions indicate conditions under which the phase is predicted to be metastable— in effect, this means that multiple phases can co-exist in these regions. Using this diagram, answer the following questions concerning the phases of carbon. Note the indicated scales for the horizontal and vertical axes (1 bar = 0.0001 GPa). **Graph Explanation:** - **Axes:** - The horizontal axis represents temperature (T) in units of \( T/1000 \, K \). - The vertical axis represents pressure (P) in GPa. - **Phases:** - **Graphite Region:** Dark grey area at lower pressures and a range of temperatures. - **Diamond Region:** Yellow area at higher pressures. - **Liquid Region:** Blue area at moderate to high temperatures and pressures. - **Vapor Region:** Green area at high temperatures and low pressures. - **Metastable Regions:** Hatched areas where multiple phases can exist. **Questions:** (a) Does graphite melt or sublime at 10 bars of pressure? (b) If pressure remains constant, what are the possible phase transitions for diamond at 4500 K as \( T \) is increased? (c) Identify the approximate temperature and pressure of the standard solid-liquid-gas triple point on this diagram. Are there other triple points indicated in the diagram? (d) Estimate the maximum temperature at which graphite can exist at \( P = 1 \, GPa \). What would happen if the pressure is increased for a sample of graphite at this temperature?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Thermodynamic Aspects of Phase Transitions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY