Question:
A gas described by van der Waals' equation
A gas described by van der Waals' equation
Updated On: Jun 14, 2022
- behaves similar to an ideal gas in the limit o f large molar volumes
- behaves similar to an ideal gas in the limit o f large pressures
- is characterised by van der Waal's coefficients that are. dependent on the identity of the gas but arc independent of the temperature
- it as the pressure that is lower than the pressure exerted by the same gas behaving ideally
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The Correct Option is C
Solution and Explanation
Option (a) is correct because in the limit of large volume, both intermolecular force and molecular volume becomes negligible in comparison to volume of gas.
Option (b) is wrong statement because in the limit of large pressure Z > 1.
Option (c) is correct statement. For a van der Waals' gas, van der Waals' constants a and b are characteristic of a gas, independent of temperature
Option (d) is wrong statement because Z can be either less or greater than unity, hence real pressure can he less or greater than ideal pressure.
Option (b) is wrong statement because in the limit of large pressure Z > 1.
Option (c) is correct statement. For a van der Waals' gas, van der Waals' constants a and b are characteristic of a gas, independent of temperature
Option (d) is wrong statement because Z can be either less or greater than unity, hence real pressure can he less or greater than ideal pressure.
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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.