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Describe the behavior of iodine vapor when cooled at the following pressures: a. \(120 \mathrm{~atm}\) b. \(1 \mathrm{~atm}\) c. \(50 \mathrm{mmHg}\) The triple point of iodine is \(114^{\circ} \mathrm{C}\) and \(90.1 \mathrm{mmHg}\), and the critical point is \(512^{\circ} \mathrm{C}\) and \(116 \mathrm{~atm}\).

Short Answer

Expert verified
At 120 atm, iodine vapor becomes a supercritical fluid; at 1 atm, it transitions directly from vapor to solid; at 50 mmHg, it also transitions directly from vapor to solid.

Step by step solution

01

Understand the Phase Diagram

A phase diagram is a chart that shows the state/phase (solid, liquid, gas) of a substance at different temperatures and pressures. It includes several critical points such as the triple point and the critical point. For iodine, given triple point is at \(114^{\circ} \mathrm{C}\) and \(90.1\, \mathrm{mmHg}\), while the critical point is at \(512^{\circ} \mathrm{C}\) and \(116\, \mathrm{atm}\). This information will help in understanding the state changes as pressure and temperature vary.
02

Analyze behavior at 120 atm

At a pressure of \(120\, \mathrm{atm}\), iodine vapor is above the critical pressure of \(116\, \mathrm{atm}\). Therefore, iodine cannot undergo condensation into a liquid regardless of how much it is cooled. It will remain in a supercritical fluid state, which is a unique phase with properties of both liquids and gases.
03

Analyze behavior at 1 atm

At \(1\, \mathrm{atm}\), iodine vapor behavior depends on temperature relative to the triple point at \(90.1\, \mathrm{mmHg}\) and the critical point. Cooling iodine vapor at \(1\, \mathrm{atm}\) will transition it from vapor directly to solid via deposition, skipping the liquid phase, because \(1\, \mathrm{atm}\) is below the pressure required to stabilize iodine as a liquid.
04

Analyze behavior at 50 mmHg

At \(50\, \mathrm{mmHg}\), which is below the pressure of the triple point, iodine vapor will solidify directly into a solid upon cooling, bypassing the liquid phase completely, because the pressure is not sufficient for a liquid phase to form.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Triple Point of Iodine
The triple point of iodine is a fascinating concept because it represents the unique set of conditions where iodine can exist in all three phases: solid, liquid, and gas. This occurs at a temperature of \(114^{\circ} \mathrm{C}\) and a pressure of \(90.1\ \mathrm{mmHg}\).
At this precise point, iodine can seamlessly transition between these phases, setting the stage for various scientific explorations.
Understanding the triple point helps us comprehend how substances behave under different conditions.
For iodine, it shows the precise pressure and temperature where you can have a mixture of solid, liquid, and vapor coexisting. This provides a crucial reference for studying phase changes and equilibria in chemistry.
Critical Point of Iodine
The critical point of iodine is the highest temperature and pressure at which iodine can exist as a liquid. For iodine, this happens at \(512^{\circ} \mathrm{C}\) and \(116\ \mathrm{atm}\).
Beyond this point, a distinct liquid and vapor phase does not exist; instead, iodine becomes a supercritical fluid.
It is important to recognize the critical point because it marks the limit of conventional boiling. Pressure and temperature beyond this point are crucial for industrial and scientific applications, like supercritical fluid extraction.
Iodine in this state exhibits properties of both liquids and gases, allowing it to diffuse through solids like a gas and dissolve materials like a liquid.
Supercritical Fluid
A supercritical fluid is a state of matter that occurs when a substance is above its critical temperature and pressure.
Iodine, when heated beyond its critical point of \(512^{\circ} \mathrm{C}\) and \(116\ \mathrm{atm}\), transforms into this state.
These fluids are incredible because they share characteristics of both gases and liquids, such as low viscosity and high diffusivity, making them ideal for various applications.
Supercritical fluids can be used in processes like extractions, chemical reactions, and material synthesis because they can penetrate materials more effectively than liquids while dissolving substances more easily than gases.
  • This blended behavior opens up numerous opportunities in research and industry.
Deposition Process
Deposition is a phase transition in which a gas turns directly into a solid without transitioning through the liquid phase.
For iodine, this can happen when it is cooled at pressures lower than its triple point pressure of \(90.1\ \mathrm{mmHg}\).
Deposition is often observed when iodine vapor is cooled at atmospheric pressures around \(1\ \mathrm{atm}\) or lower, leading to the formation of solid iodine from a gaseous state.
This process is important in environmental science to study frost or in technology for deposition coatings.
  • Understanding deposition gives insight into the cyclical nature of matter states and practical applications in designing materials with unique textures or properties.

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Most popular questions from this chapter

The vapor pressure of a volatile liquid can be determined by slowly bubbling a known volume of gas through the liquid at a given temperature and pressure. In an experiment, a 5.40-L sample of nitrogen gas, \(\mathrm{N}_{2}\), at \(20.0^{\circ} \mathrm{C}\) and \(745 \mathrm{mmHg}\) is bubbled through liquid isopropyl alcohol, \(\mathrm{C}_{3} \mathrm{H}_{8} \mathrm{O}\), at \(20.0^{\circ} \mathrm{C}\). Nitrogen containing the vapor of \(\mathrm{C}_{3} \mathrm{H}_{8} \mathrm{O}\) at its vapor pressure leaves the vessel at \(20.0^{\circ} \mathrm{C}\) and \(745 \mathrm{mmHg} .\) It is found that \(0.6149 \mathrm{~g} \mathrm{C}_{3} \mathrm{H}_{8} \mathrm{O}\) has evaporated. How many moles of \(\mathrm{N}_{2}\) are in the gas leaving the liquid? How many moles of alcohol are in this gaseous mixture? What is the mole fraction of alcohol vapor in the gaseous mixture? What is the partial pressure of the alcohol in the gaseous mixture? What is the vapor pressure of \(\mathrm{C}_{3} \mathrm{H}_{8} \mathrm{O}\) at \(20.0^{\circ} \mathrm{C} ?\)

Krypton, Kr, has a triple point at \(-169^{\circ} \mathrm{C}\) and \(133 \mathrm{mmHg}\) and a critical point at \(-63^{\circ} \mathrm{C}\) and \(54 \mathrm{~atm}\). The density of the solid is \(2.8 \mathrm{~g} / \mathrm{cm}^{3}\), and the density of the liquid is \(2.4 \mathrm{~g} / \mathrm{cm}^{3} .\) Sketch a rough phase diagram of krypton. Circle the correct word in each of the following sentences (and explain your answers). a. Solid krypton at \(130 \mathrm{mmHg}\) (melts, sublimes without melting) when the temperature is raised. b. Solid krypton at \(760 \mathrm{mmHg}\) (melts, sublimes without melting) when the temperature is raised.

A gecko's toes have been shown to stick to walls through van der Waals forces. Van der Waals forces also exist between your finger and a wall. Why, then, doesn't your finger stick to the wall in the same way as the gecko's toes?

a. Draw Lewis structures of each of the following compounds: \(\mathrm{LiH}, \mathrm{NH}_{3}, \mathrm{CH}_{4}, \mathrm{CO}_{2}\). b. Which of these has the highest boiling point? Why? C. Which of these has the lowest boiling point? Why? d. Which of these has the next-to-highest boiling point? Why?

Classify each of the following by the type of solid it forms: (a) \(\mathrm{Na}\); (b) \(\mathrm{Fe} ;\) (c) \(\mathrm{B}\); (d) \(\mathrm{H}_{2} \mathrm{O}\); (e) \(\mathrm{KF}\).

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