The density of compressed air can be calculated by starting with the density of normal air and adjusting it based on the pressure it is under. The formula pV = mRT can be rearranged to find density, where density (m/V) equals pressure (p) divided by the product of the gas constant (R) and temperature (T). For ideal gas conditions, this method is accurate at high temperatures and low pressures, typically up to 40-50 bar. At 1 atm and 20 degrees Celsius, the density of dry air is approximately 1.20 kg/m³. Understanding these principles is essential for accurate calculations in applications involving compressed air.