Answer:
![m_w = 449.04 kg/hr](https://img.qammunity.org/2020/formulas/physics/college/3kt8lvo1o3gagpm342sbm61kmnli2xr2q7.png)
Step-by-step explanation:
Given data:
air stream temp 32.2 degree celcius
steam heater is at 65.5 degree celcius
flow of air 1000 kg mol/h
we know that
= 29.2 Kj/KG-MOL
Saturated stream is at 148.9 and from steam table hg is 2745.12 kJ/kg
saturated water us 148.9 degree and from steam table hf = 627.46 kJ/kg
then cooled to saturated water with temperature 137.8 degree celcius and hf = 579.71 kJ/kg
from energy balanced
![mC\Delta T \for\ air = mC\Delta H](https://img.qammunity.org/2020/formulas/physics/college/q49sul0h10p8235tyyyvxg9l6ug2zjj4gq.png)
![1000* 29.2* (65.5 -32.2) = m_w* (2745.12 - 579.71)](https://img.qammunity.org/2020/formulas/physics/college/bp6tmkjd8tk9gu74eto5u3m1b2e2ygdm69.png)
solving for m_w
![m_w = 449.04 kg/hr](https://img.qammunity.org/2020/formulas/physics/college/3kt8lvo1o3gagpm342sbm61kmnli2xr2q7.png)