Help with HVAC and Temp mixing

[wreckless192]

Hope somebody can help with this. i'm trying to found the dew point temperature.
the parameters are as follows:
Ambient Temp: 89F
Ambient Humidity: 210 gr/lb
Pressure: 14.7 psi
Hot air into tube: 575F (@ .1 lb/min flow)
Cold air into tube:-18.9F (@ 44 lb/min flow)

I know that first the mixed temperature (T3=Tout) needs to be calculated. then the dew point temperature can be calculated.

any thoughts on this...

thanks

 

[wreckless192]

The insulation will be encapsulated within a vapor barrier (silicone textile). this will then be sealed to the the duct.