Answer:
[tex]\omega_{out} = 0.867\,\frac{kg\,H_{2}O}{kg\,DA}[/tex]
Explanation:
The final humidity ratio is computed by the Principle of Mass Conservation:
Dry Air
[tex]\dot m_{in} = \dot m_{out}[/tex]
Moist
[tex]\dot m_{in} \cdot \omega_{in} + \dot m_{w} = \dot m_{out}\cdot \omega_{out}[/tex]
Then, the final humidity ratio is:
[tex]\omega_{out} = \frac{\dot m_{in}\cdot \omega_{in}+\dot m_{w}}{\dot m_{out}}[/tex]
[tex]\omega_{out} = \omega_{in} + \frac{\dot m_{w}}{\dot m_{out}}[/tex]
[tex]\omega_{out} = 0.6\,\frac{kg\,H_{2}O}{kg\,DA} + \frac{0.4\,\frac{kg\,H_{2}O}{s} }{1.5\,\frac{kg\,DA}{s} }[/tex]
[tex]\omega_{out} = 0.867\,\frac{kg\,H_{2}O}{kg\,DA}[/tex]
