# GRE Subject Test: Chemistry : Real Gases

## Example Questions

### Example Question #24 : Physical Chemistry

Which of the following assumptions is not made by the ideal gas law?

The size of the molecules is much smaller than the container

The molecules move randomly

The molecules obey Newton's laws of motion at all times

The van der Waals forces are negligible

The intermolecular interactions follow the Coulomb model of electric repulsion

The intermolecular interactions follow the Coulomb model of electric repulsion

Explanation:

Under the ideal gas law, we assume that the interactions between the molecules are very brief and that the forces involved are negligible. The assumption that the molecules obey Coulomb's law when interacting with each other is not necessary; rather, an ideal gas must disregard Coulomb's law.

The ideal gas law assumes only Newtonian mechanics, disregarding any intermolecular or electromagnetic forces.

### Example Question #4 : Real Gases And Ideal Gases

Consider a real gas with a constant amount and a constant pressure. It has a temperature of  and a volume of . If you double the temperature, what will happen to the volume?

The volume will become greater than

The volume will become less than

The volume will become

The volume will become

The volume will become less than

Explanation:

This question can be solved using either Charles's law or the ideal gas law (converted into the combined gas law).

Charles's Law:

Ideal Gas Law:

The question states that the pressure and moles  are held constant; therefore, the volume and temperature are directly proportional. If the question were asking about an ideal gas, the volume would double when you double the temperature

The volume would double for an ideal gas; however, the question is asking about a real gas. To find the correct relationship between volume and temperature we need to look at the equation for real gas volume. Remember that the volume we are concerned with is the volume of the free space in the container, given by the container volume minus the volume of the gas particles. The equation for real gas volume accounts for the volume of the container and the volume of the gas particles. For a real gas, the volume is given as follows:

In this equation,  is the number of moles of gas particles and  is the bigness coefficient. This equation implies that the volume of free space for a real gas is always less than the volume for an ideal gas; therefore, doubling the temperature will produce a volume that is less than the predicted volume for an ideal gas. Our answer, then, must be less than double the initial volume.

Note that for an ideal gas the bigness coefficient, , would be zero and the volume of free space  would be equal to the volume of the container . This occurs because the volume of the gas particles is negligible for an ideal gas.

### Example Question #5 : Real Gases And Ideal Gases

Which of the following is relevant for real gases, but irrelevant for ideal gases?

I. Volume of gas particles

II. Intermolecular forces between gas particles

III. Volume of container

I only

I and III

I and II

III only