Hello everyone
I have a container that contains 10 ppm toluene, 99% nitrogen "volume = 110 l, pressure = 69 bar, T = 15 ° C"
I want to introduce this gas into a room of 1m3 which already contains dry air humidified to 50% under normal conditions "22 ° C, 1atm"
what is the concentration of toluene in ppm in the chamber?
In your system 1 you have toluene and N2 at given concentration, temperature and pressure (intensive variables) and total volume (extensive variable). Therefore you can calculate the total mass (or molars) of each one of the components. You need a state equation because the pressure (69 bar) indicates non-ideal gas behavior. In your system 2 you have the air and water at given concentration, temperature and pressure (intensive variables) and total volume (extensive variable). I guess that you connect the system 1 with system 2, therefore system 1 will be expanded and mixed in system 2 resulting in system 3. You know the total mass (or molar) of each component (the sum of component in system 1 and 2), and you know the total volume (the sum of both volumes); and therefore you know the concentration of all component.
However you don’t know the total state of system 3. If your systems are thermal isolated from environmental, you can perform a mass (or molar) balance assuming isentropic (without heat exchange or at constant entropy) expansion. As you know the total mass (or molar) of each component (the sum of component in system 1 and 2), and the total volume (the sum of both volumes), you can calculate the specific volume (intensive variable). You need the pressure and temperature of system 3. Assuming isentropic expansion the entropy is constant, therefore the system 3 entropy is the sum of system 1 and 2 entropies, and knowing specific volume and entropy of system 3 you can calculate the temperature and pressure.
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