Final answer:
The false statement is that molecules of CH4(g) at high pressures and low temperatures have no attractive forces between each other.
Step-by-step explanation:
The false statement among the options provided is a. molecules of CH4(g) at high pressures and low temperatures have no attractive forces between each other.
Real gases do have attractive forces between them, and these forces become more significant at high pressures and low temperatures, causing the gases to deviate from ideal behavior. In contrast, an ideal gas is assumed to have no intermolecular forces and the volume of the molecules is considered negligible.
Statement b is true because the properties of a real gas such as nitrogen gas (NG) will deviate more from the ideal gas laws at -100°C than at 100°C due to increased intermolecular attractions at lower temperatures.
Statement c is true as it acknowledges that real gases do not always obey the ideal gas laws, particularly under conditions of high pressure and low temperature.
Lastly, statement d is true as it accurately reflects the assumptions of the kinetic molecular theory for ideal gases, which assumes gas molecules have no significant volume.