One aspect of materials science is the study of materials’ phases The phase properties for many common materials such as water are well-documented and readily available, but if the material in question is complex or is of unknown composition. phase properties often must be found by an approximation based on experimental values. Phase diagrams. diagrams that show the phases a given material can experience based on its temperature and pressure. are used to find or better understand these phase properties. Some significant phase properties include:
. Triple Point: the temperature and pressure at which a material can exist as all three major phases simultaneously. Critical Temperature: the temperature at which the material can only be in a gaseous phase (due to superheating)
. Phase Boundaries: the boundaries at which transitioning from one phase to another occur
o Sublimation Curve: the phase boundary between the solid and gas phases
o Fusion Curve: the phase boundary between the solid and liquid phases
o Vaporization Curve: the phase boundary between the liquid and gas phases
You are a chemical engineer trying to detertnine the phase properties of a chemical mixture provided to you by a coworker. As a first step, you have experimentally determined the pressure of the mixture at certain temperatures along both the fusion and vaporization cunes by heating the mixture and analyzing its phase changes. Theses results are provided in the data file Bnundarirs.css and duplicated below in Table I. Temperature and pressure measurements for the fusion curve are given in rows 1 and 2, and temperature and pressure measurements for the vaporization curve are given in rowa 3 and 4. Assume this data will always have these four rows as shown but may have any number of measurements (columns). You will use this data to develop a phase diagram for the mixture. The phase diagram you will be developing will only be valid between temperatures of 150 — 350 Kelvin and pressures of 0 — 60 atmospheres; you may use these as the bounds of the diagram.
TASK 1:12—3 mint
The critical temperature of the mixture is necessary for developing the phase diagram. Prompt the user to enter the critical temperature of the mixture. For this mixture you have determined that the critical temperature is known to exist between 300 and 350 K; if the user enters a value outside this range continue to prompt the user until they enter a valid temperature.
TASK 2: (20—27 minI
Create the phase diagram for the mixture by developing cunes with the given data. Model the fusion curve as a power equstion and model the vaporization curve with an exponential curve using the data from Bouadaries.cs. Where these uso curves intersect will be the triple point of the mixture. Model the sublimation cune as a linear equation using the origin of the phase diagram (T = ISO, P = 0) and the triple point. On the phase diagram, the fusion curve should begin at the triple point and end at the phase diagram upper limit. The vaporization cune should begin at the triple point and end at the critical temperature. The sublimation cune should begin at T = ISO, P = O and end at the triple point. An additional boundary between the liquid and gas phases should appear as a vertical line at the critical temperature.
Include the following formatting on your phase diagram:
. X-axis label • Title • Phase labels
. Y-axis label • Gridlines • Blue lines
P i ‘flc i [1
. Line thickness 3
. Axis limits
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