Solve the below problem:
Q: A thin-wall jacketed tank, heated by condensing steam at one atmosphere contains 91 kg of agitated water. The heat transfer area of the jacket is 0.9 m2 and the overall heat transfer coefficient U = 227 W/(m2 K) based on that area. Determine the heating time required for an increase in temperature from 16°C to 60°C.
GIVEN
A thin wall jacketed tank, heated by condensing steam
Steam pressure = one atmosphere
Mass of water in the tank = 91 kg
The heat transfer area (A) = 0.9 m2
The overall heat transfer coefficient (U) = 227 W/(m2 K) based on that area
Temperature increases from 16°C to 60°C
ASSUMPTIONS
Uniform water temperature due to agitation
Thermal capacitance of the tank wall isnegligible