Calculate the surface area of the container


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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

1094_Vessel.jpg

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Mechanical Engineering: Calculate the surface area of the container
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