What does the Ideal Gas Law relate to density?

The Ideal Gas Law provides a relationship between pressure, volume, temperature, and number of moles of a gas. In the context of density, the correct relationship can be determined by rearranging the Ideal Gas Law equation, which is typically expressed as PV = nRT. In this context, density (ρ) can be expressed in terms of mass (m) and volume (V), where density is equal to mass divided by volume.

The relationship that connects density to the Ideal Gas Law begins with the formula for the number of moles (n), which is given by n = m/mm (where mm is the molar mass). By substituting this into the Ideal Gas Law and solving for density, one can derive the equation:

ρ = (P × mm) / (R × T).

This formulation establishes that density is directly proportional to the pressure and the molar mass of the gas, while being inversely proportional to the temperature and the universal gas constant.

In this context, the relationship P(mm) = R T can be viewed as a simplified version that helps establish a connection. This formulation suggests that pressure multiplied by molar mass can give insights into the temperature for a given gas under ideal conditions. Thus, it highlights how density interacts