Question:

The temperature ar which a real gas obeys the ideal gas laws over a wide range of pressure is

Updated On: Jun 27, 2023
  • critical temperature
  • Boyle temperature
  • inversion temperature
  • reduced temperature
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The Correct Option is B

Approach Solution - 1

It is the Boyle temperature $T_B.$ At Boyle temperature, the first virial coefficient (B) vanishes and real gas approaches ideal behaviour.
$\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, T_B=\frac{a}{Rb}$
Here, a and bare van der Waals' constants.
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Approach Solution -2

The many forms of temperature listed above each have a special meaning. We must debate each one to determine which one best answers the issue.
Important temperature: Each gas or vapor has the propensity to liquefy. The pressure and temperature of the vapor have a direct impact on the circumstances in which this liquefaction takes place. The different combinations of temperature and pressure allow for a wide range of liquefaction-friendly circumstances. However, regardless of changes in pressure, there is a specific temperature value over which liquefaction is not feasible due to physical limitations. Critical Temperature is the name given to the temperature.
The temperature at which the sign of the Joule-Thomson effect changabout to gas is known as the inversion temperature. At this moment, neither cooling nor heating the gas expansion without using energy is permitted.
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Questions Asked in JEE Advanced exam

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Concepts Used:

States of Matter

The matter is made up of very tiny particles and these particles are so small that we cannot see them with naked eyes.

There are three States of Matter:

The three states of matter are as follows:

Solid State:

  • The solid-state is one of the fundamental states of matter.
  • Solids differ from liquids and gases by the characteristic of rigidity.
  • The molecules of solids are tightly packed because of strong intermolecular forces; they only oscillate about their mean positions.

Liquid State:

  • The molecules in a liquid are closely packed due to weak intermolecular forces.
  • These forces are weaker than solids but stronger than that of gases.
  • There is much space in between the molecules of liquids which makes their flowing ability easy.

Gaseous State:

  • In this state of matter, distances between the molecules are large (intermolecular distance is in the range of 10-7-10-5 cm.
  • The intermolecular forces experienced between them are negligible.
  • Thus, translatory, rotatory and vibratory motions are observed prominently in gases.