Solid \(\mathrm{CO}_{2}\) is called dry ice. It sublimes at an atmospheric pressure of \(-78.5^{\circ} \mathrm{C}\). The triple point of \(\mathrm{CO}_{2}\) is \(-56.6{ }^{\circ} \mathrm{C}\) at \(517.8 \mathrm{kPa} . \mathrm{CO}_{2}\) becomes a supercritical fluid at \(31^{\circ} \mathrm{C}\) and 7.487 MPa. Using these data, construct a phase diagram for \(\mathrm{CO}_{2}\) labeling all the regions of your diagram.

Short Answer

Expert verified
To construct a phase diagram for CO₂, follow these steps: 1. Draw axes for pressure and temperature, labeling them as "Pressure (P)" and "Temperature (T)". 2. Mark the given points on the diagram: sublimation point (-78.5°C, atmospheric pressure), triple point (-56.6°C, 517.8 kPa), and supercritical fluid point (31°C, 7.487 MPa). 3. Define and label the regions for solid, liquid, gas, and supercritical fluid phases of CO₂ using the marked points. 4. Draw the boundaries between different phases: the sublimation line between solid and gas regions, the vaporization line between liquid and gas regions, and the line separating liquid and supercritical fluid regions. The completed phase diagram will have labeled regions and points representing different states of CO₂.

Step by step solution

01

Draw axes for the phase diagram

Draw a vertical axis for pressure and a horizontal axis for temperature. Label the axes as "Pressure (P)" and "Temperature (T)" respectively.
02

Mark given points on the diagram

Using the given data, mark the following points on the phase diagram: - Sublimation point: (-78.5°C, atmospheric pressure) - Triple point: (-56.6°C, 517.8 kPa) - Supercritical fluid point: (31°C, 7.487 MPa)
03

Define and label the regions

Using the marked points, we can define the regions for the solid, liquid, and gas phases of CO₂: - Solid region: below and to the left of the sublimation and triple points - Liquid region: between the triple and supercritical fluid points, above the atmospheric pressure line (not including the sublimation point) - Gas region: above and to the right of the sublimation and triple points and below the critical point - Supercritical fluid region: above and to the right of the supercritical fluid point Label each region accordingly on the diagram.
04

Draw boundaries between regions

Using the marked points, draw the boundaries between different phases: 1. Draw a line from the sublimation point to the triple point. This line represents the boundary between solid and gas regions (sublimation line). 2. Draw a line from the triple point to the supercritical fluid point. This line represents the boundary between liquid and gas regions (vaporization line). 3. Draw a vertical line from the supercritical fluid point. This line represents the boundary between liquid and supercritical fluid regions. Now the phase diagram for CO₂ is complete with labeled regions and points.

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