How to calculate : Mass flow of water vapor in the air (kg/h)

[Kristof Papp]

Hello

Homework Statement

Lets say i have the given parameters:

air volume flow : V = 36 m3/h
Relative humidity: RH=33%
air mixing ratio : X = 5.5 (1g H2O) / 1kg (DRY AIR) (calculated from RH)
air temperature : T= 20 C

So i know how much mass of water is the air compared to the air's "dry air" mass content.

Homework Equations

I only know the massflow's equation : m=ϱ*V , when the fluid consists of only 1 component.
But i don't know what to do, when the fluid constists of multiple components (H2o and Dry air).

So I know the air volume flow, but can't do anything with the density part, and don't know how to use "X"
, or the density of water and dry air at T=20

The Attempt at a Solution

What is the equation which gives me the mass flow of the air's water content?
.

Thanks for help!

 

[Chestermiller]

Do you know how to calculate the density of an ideal gas mixture, given the mole fractions (or mass fractions) of its components and the molar density of the mixture? What is the molar density of your gas mixture?