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ACT® · Science: Interpretation of Data (13-17 items)

Complex Presentations: Phase Diagrams and Multi-Axis Figures (IOD 401)

A phase diagram is just a map where every region, line, and point has a plain meaning: regions are phases, lines are where two phases balance, and special points are labelled exactly. Multi-axis figures work the same way, except each curve answers to its own axis scale.

A pressure-temperature phase diagram splits into three regions: solid, liquid, gas. Three boundary lines carve them apart, and each line marks conditions where two phases sit in balance at once. The solid-liquid line usually runs nearly straight, the liquid-gas line curves up and to the right, and the solid-gas line sits along the bottom. Wherever the two lines meet is the triple point, where all three phases balance together. Follow the liquid-gas line up and it stops at the critical point, where the liquid and gas stop being distinguishable. To read a phase at some pressure and temperature, just find that coordinate on the grid and see which region it falls in, the same way you'd read any x-y point.

The question never asks you to calculate the physics. It asks you to locate a point, read which side of a line it falls on, or subtract two labelled values. The triple point and critical point often get confused because both sound like special landmarks, but the triple point is where three phases coexist and the critical point is where only two phases merge into one. They're different dots on the same map, never the same thing.

Multi-axis figures stretch this same map-reading skill across two y-axes sharing one x-axis, like depth against both oxygen and temperature in a lake. Each curve only answers to its own axis, so a comparison between two readings on the same curve is a clean subtraction, but comparing across curves needs both scales read separately. When a third variable gets coded into dot size instead of a line or axis, the skill is identical: match the dot to its size key the same way you'd match a curve to its axis label.

Key terms

Phase diagram
A graph of pressure versus temperature showing which phase a substance takes at each combination.
Triple point
The single pressure-temperature point where solid, liquid, and gas phases all coexist at once.
Critical point
The point past which liquid and gas phases can no longer be told apart.
Boundary line
A curve on a phase diagram showing conditions where two phases exist together in balance.
Dual y-axis figure
A graph with two differently scaled vertical axes sharing one horizontal axis, each paired with its own curve.

Watch it explained

  1. How it worksHow do the solid, liquid and gas regions of a phase diagram get carved apart by three boundary lines?
  2. Worked exampleFind the phase of carbon dioxide at 1 atm and negative 60 degrees C on a pressure-temperature diagram.
  3. Common mistakeWhy isn't the triple point on a phase diagram the same thing as the critical point?
  4. Going furtherWhat changes about reading a figure when a third variable is coded by the size of each plotted dot?

Check yourself

Your turnmedium1 of 3
Figure 1 is a pressure-temperature phase diagram for Substance Q. Its triple point sits at 208 K and 6 atm, and its critical point sits at 512 K and 62 atm. By how many atm does the critical-point pressure exceed the triple-point pressure?

End of topic.