The plutonium phase diagram is shown below. Solid phases A, B, C, D, E, F, and G are present under various condition of temperature and pressure. Consider increasing the pressure on a plutonium sample at 560 K from P1 to P2.
Are phases D, F, and G ever simultaneously together at equilibrium?
Yes
Under what conditions of temperature and pressure can phases B, C, and D all present at equilibrium?
Temperature (in Kelvin)
520
Pressure (in kbar)
3
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To determine if phases D, F, and G are ever simultaneously present at equilibrium, we need to analyze the plutonium phase diagram and identify the regions where these phases can coexist.
Here's how you can do it:
1. Locate the point on the phase diagram where the temperature is 560 K and the pressure is P1. This will give you a specific point on the diagram.
2. Trace a line horizontally from this point to the boundary of phase D. This represents the conditions at which phase D is present.
3. Next, trace a line vertically from the same point to the boundary of phase F. This represents the conditions at which phase F is present.
4. Similarly, trace a line diagonally from the same point to the boundary of phase G. This represents the conditions at which phase G is present.
5. Now, observe the region where all three lines intersect. If there is an intersection point, it means that phases D, F, and G can coexist at that point, which implies that they can be present simultaneously at equilibrium.
Repeat the above steps with the pressure changed from P1 to P2 to determine if the three phases can still be present simultaneously at the new pressure.
To determine the conditions at which phases B, C, and D are all present at equilibrium, follow these steps:
1. Locate the point on the phase diagram where the temperature is 520 K and the pressure is 3 kbar. This gives you a specific point on the diagram.
2. Trace a line horizontally from this point to the boundary of phase B. This represents the conditions at which phase B is present.
3. Similarly, trace a line vertically from the same point to the boundary of phase C. This represents the conditions at which phase C is present.
4. Finally, trace a line diagonally from the same point to the boundary of phase D. This represents the conditions at which phase D is present.
Check if there is a common region where all three lines intersect. If there is, it means that phases B, C, and D can coexist at that point, implying that they can be present simultaneously at equilibrium under those temperature and pressure conditions.
By following these steps and analyzing the plutonium phase diagram, you can determine if phases D, F, and G can be simultaneously present at equilibrium and the conditions at which phases B, C, and D can all be present at equilibrium.