To Calculate the rate (kg/min) at which water condenses, we need to apply the concepts that are related to ideal gas laws, and mass flow rate.
PV=mRT:TheGasIdealLaw
Where,
P=Pressure
V=Volume
m=Mass
R=GasConstant
T=Temperature
Data are given by;
T1=38oC
T2=18oC
η=0.8
Flow rate (air water vapor mixture)= 510m3/min(STP)
Note that the 1 atm absolute pressure is 1.01325bar
Now, to calculate the mass flow;
PV=mRT
m=RTPV=(291∗311)(1.01325∗105)∗510)=570.99645kg/min
To the mass flow rate (kg/min) at which water condenses
η=mμ
⟹μ=η∗m⟹0.8∗570.99645kg/min=456.79716kg/min
Answer=456.79716kg/min
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