Question Details

What are the conditions for gas like Carbon monoxide to obey the ideal gas laws?

Options

A

low temperature and low pressure

B

low temperature and high pressure

C

high temperature and low pressure

D

high temperature and high pressure

Correct Answer :

high temperature and low pressure

Solution :

The correct option is "high temperature and low pressure".

To understand why a real gas like Carbon monoxide (CO) obeys the ideal gas laws under these conditions, we must look at the key assumptions of the Kinetic Molecular Theory of Gases and how real gases deviate from them.

An ideal gas is a theoretical gas that strictly follows the ideal gas equation:
PV=nRT
This model relies on two crucial assumptions:

  1. The intermolecular attractive forces between the gas molecules are negligible (assumed to be zero).
  2. The actual volume occupied by the gas molecules themselves is negligible compared to the total volume of the container.

However, real gas molecules, such as Carbon monoxide, do possess attractive forces (intermolecular interactions like dipole-dipole forces) and do occupy a finite, physical volume. We can examine how temperature and pressure affect these properties:

  1. Effect of High Temperature:
    At high temperatures, the average kinetic energy of the gas molecules is very high. Because the molecules are moving extremely fast, the intermolecular attractive forces between them become negligible during collisions. The molecules simply fly past each other too quickly for attractive forces to have any significant effect, matching the first assumption of ideal behavior.
  2. Effect of Low Pressure:
    At low pressures, the gas is allowed to expand, meaning the molecules are spread far apart across a relatively large total volume. Because the empty space between molecules is so vast, the actual volume occupied by the individual gas molecules themselves becomes completely negligible compared to the total volume of the container. This matches the second assumption of ideal behavior.

Conversely, at low temperatures and high pressures, molecules move slowly and are compressed closely together, which makes intermolecular forces and molecular volume significant, causing the gas to deviate from ideal behavior.

Therefore, a real gas behaves most like an ideal gas at high temperature and low pressure.

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