A volume of 4 m3 of air at 16 ° C contains 40 g of water vapor. Determine the relative humidity of the air if the density

A volume of 4 m3 of air at 16 ° C contains 40 g of water vapor. Determine the relative humidity of the air if the density of saturated vapor at this temperature is 13.6 g / m3.

To find the value of the relative humidity in a given room, we apply the formula: φ = ρph / ρn = m / (ρn * V).

Constants and variables: m – steam mass (m = 40 g); ρн – density of saturated steam (by condition at t = 16 ºС ρн = 13.6 g / m3); V is the volume of the room (V = 4 m3).

Let’s make a calculation: φ = m / (ρn * V) = 40 / (13.6 * 4) = 0.735.

Answer: The relative humidity in the taken room is 73.5%.