How do you find the density of air at a given temperature?

To find the density of air at a given temperature, you can utilize the ideal gas law which relates pressure, volume, temperature, and the number of moles of gas. The formula can be rearranged to calculate density, which is defined as mass per unit volume.

In the case of air, the correct relationship is derived from the ideal gas law represented as (PV = nRT), where (P) is pressure, (V) is volume, (n) is the number of moles, (R) is the specific gas constant for air, and (T) is the absolute temperature. For density, you can rearrange the equation:

1. First, express the number of moles (n) as mass (m) divided by molar mass (M):

[ P \cdot V = \frac{m}{M} \cdot R \cdot T ]

2. Rearranging gives you density (\rho = m/V):

[ \rho = \frac{P}{R \cdot T} ]

This means that the density of air is directly proportional to pressure and inversely proportional to the product of the specific