Discuss the below in detail:
Q: Water at a temperature of 77°C is to be evaporated slowly in a vessel. The water is in a low pressure container which is surrounded by steam. The steam is condensing at 107°C. The overall heat transfer coefficient between the water and the steam is 1100 W/(m2 K). Calculate the surface area of the container which would be required to evaporate water at a rate of 0.01 kg/s.
GIVEN
Water evaporated slowly in a low pressure vessel surrounded by steam
Water temperature (Tw) = 77°C
Steam condensing temperature (Ts) = 107°C
Overall transfer coefficient between the water and the steam (U) = 1100 W/(m2 K)
Evaporation rate (mw ) = 0.01 kg/s
ASSUMPTIONS
Steady state prevails
Vessel pressure is held constant at the saturation pressure corresponding to77°C