/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 13 The temperature below which a ga... [FREE SOLUTION] | 91Ó°ÊÓ

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The temperature below which a gas can be made to liquefy by variation in pressure is called its (a) inversion temperature (b) critical temperature (c) neutral temperature (d) curie point

Short Answer

Expert verified
The correct answer is (b) critical temperature.

Step by step solution

01

Understanding the Problem

We need to identify the term used for the temperature below which a gas can be made to liquefy just by varying pressure. This term is associated with the physical properties of gases and their phase transitions.
02

Identifying Key Terms

Inversion temperature is when the Joule-Thomson coefficient changes sign. The critical temperature is the highest temperature at which a gas can be liquefied by pressure alone. Neutral temperature is not relevant here, and the Curie point is the temperature at which certain materials lose permanent magnetism.
03

Analyzing Each Option

(a) Inversion temperature is related to inversion points in thermodynamics, not liquefaction. (b) Critical temperature is the correct term for the highest temperature at which a gas can still be liquefied by just compressing it. (c) Neutral temperature is not relevant to gas liquefaction. (d) Curie point relates to magnetism, not gas liquefaction.
04

Conclusion

Based on the definitions, the critical temperature (option b) is the correct choice. It is the temperature above which a gas cannot be liquefied by pressure alone.

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Key Concepts

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

Gas Liquefaction
Gas liquefaction is a fascinating process where a gas is converted into a liquid by cooling or compressing it. This is crucial for practical applications, such as storing gases or using them as fuels or coolants. To understand this process, think about air being turned into liquid oxygen or liquid nitrogen, which are then used in hospitals and industrial settings. Liquefying gas involves bringing it to a temperature below its critical temperature where the pressure can effectively turn it into liquid. When a gas is compressed, its molecules are pushed closer together. If the temperature is also reduced, the interactions between the molecules become strong enough to hold them in a liquid state:
  • Critical Temperature: The highest temperature at which gas can be liquefied by pressure alone.
  • Pressure: Applying pressure reduces the volume and increases the density.
  • Cooling: Reducing temperature helps molecular bonds form a liquid.
Successfully achieving liquefaction depends on knowing the critical temperature. The gas won't liquefy above this threshold, no matter the pressure applied.
Phase Transitions
Phase transitions describe the transformation from one state of matter to another, like from solid to liquid, or liquid to gas. In the case of gas liquefaction, the transition is from gas (vapor) to liquid. This transition happens through changes in temperature and pressure. At a particle level,
  • Particles in a gas move freely and randomly.
  • Lower temperature slows particles down, reducing energy and allowing them to come closer.
  • Pressure forces particles closer together, increasing interaction potential.
Understanding phase transitions is key for gas liquefaction. The timing of cooling or compressing must be appropriate to achieve a successful transition. A miscalculation or incorrect understanding of the conditions can prevent the phase change from occurring. Phase transitions leverage physical property changes to optimize gas states for practical use and storage.
Physical Properties of Gases
The behavior and characteristics of gases are governed by their physical properties. These properties are essential to understanding how gases transition between phases. In gas liquefaction, the following properties play critical roles:
  • Temperature: Influences kinetic energy and molecular motion.
  • Pressure: Affects volume and density, pivotal in liquefaction efforts.
  • Volume: Changes as pressure and temperature fluctuate.
To transition a gas to a liquid efficiently, these properties must be controlled carefully. For example, above the critical temperature, no amount of pressure will liquefy a gas. Knowing these properties informs processes to store gases, transport them, and utilize them in industry or science. Understanding the physical properties of gases allows for breakthroughs in technology and applications, notably in refrigeration, energy production, and transportation sectors.

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Most popular questions from this chapter

A and B are ideal gases. The molecular weights of \(A\) and \(\mathrm{B}\) are in the ratio of \(1: 4\). The pressure of a gas mixture containing equal weights of \(A\) and \(B\) is \(P\) atm. What is the partial pressure (in atm) of B in the mixture? (a) \(\mathrm{P} / 5\) (b) \(\mathrm{P} / 2\) (c) \(\mathrm{P} / 2.5\) (d) \(3 \mathrm{P} / 4\)

According to the kinetic theory of gases (a) the pressure exerted by a gas is proportional to mean square velocity of the molecules (b) the pressure exerted by the gas is proportional to the root mean square velocity of the molecules (c) the root mean square velocity is inversely proportional to the temperature (d) the mean translational K.E. of the molecule is directly proportional to the absolute temperature.

A 2 mole mixture of \(\mathrm{Ne}(\mathrm{g}), \mathrm{H}_{2}(\mathrm{~g})\) and \(\mathrm{O}_{2}(\mathrm{~g})\) are placed in a closed container at a pressure equal to \(50 \mathrm{~atm}\). An electric spark is passed and pressure noted is \(12.5\) atm after cooling. Oxygen gas is introduced for pressure to become 25 atm. Again electrical spark is passed and pressure drops to 10 atm. (all measurements are at same T and P) (a) Moles fraction of \(\mathrm{O}_{2}\) in original mixture is \(0.25\) (b) Moles of \(\mathrm{O}_{2}\) added after first spark is \(0.5\) (c) Mole fraction of \(\mathrm{H}_{2}\) in original mixture is \(0.7\) (d) Mole fraction of Ne in original mixture is \(0.005\)

If a gas contains only three molecules that move with velocities of \(100,200,500 \mathrm{~ms}^{-1}\), what is the \(\mathrm{rms}\) velocity of the gas is \(\mathrm{ms}^{-1}\) ? (a) \(100 \sqrt{8 / 3}\) (b) \(100 \sqrt{30}\) (c) \(100 \sqrt{0}\) (d) \(800 / 3\)

At what temperature, the rate of diffusion of \(\mathrm{N}_{2}\) would be \(1.625\) times the rate of effusion of \(\mathrm{SO}_{2}\) at \(50^{\circ} \mathrm{C}\) ? (a) \(110 \mathrm{~K}\) (b) \(173 \mathrm{~K}\) (c) \(373 \mathrm{~K}\) (d) \(273 \mathrm{~K}\)

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