Question:

Boyle?? temperature or Boyle point is the temperature at which a real gas starts behaving like an ideal gas over a particular range of pressure. $A$ graph is plotted between compressibility factor $Z$ and pressure $P$.
What is the deviation of real gas from ideal behaviour in terms of compressibility factor, $Z$?

Updated On: Jul 6, 2022
  • As the temperature increases, $Z$ approaches a value close to one and gas starts behaving ideally.
  • $Z$ continuously decreases with increase in pressure.
  • $Z$ continuously increases with increase in pressure.
  • At high pressure, every gas has value $Z = 1$.
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The Correct Option is A

Solution and Explanation

Compressibility factor $Z$ is a correction factor which gives the deviation of a real gas from an ideal gas. It is the ratio of the molar volume of a gas to the molar volume of an ideal gas, at same $T$ and $P$. Here as the temperature increases, $Z$ starts approaching towards one and then the gas starts behaving ideally.
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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.