1. In an industrial process, a tank containing 200 liters of water at 372 K at a constant pressure is used as a thermal energy storage device. The device is used to heat a residential space that is maintained 293 K. There is a negligible change in the volume of the water. The water is stirred during this process to maintain a uniformly distributed temperature. During the process, the convective heat transfer coefficient between the water and the space is 12.0 W/(m2K) and the surface area equals 5.0 m2. The residential space remains at a constant temperature of 293 K and the thermal storage unit can be used until its temperature reaches 300 K. Neglect the work associated with stirring the tank and thermal radiation heat transfer.
a) How long will the thermal energy storage unit provide energy to the system?
b) Calculate the total heat flow in Joules that were added to the residential space from
the thermal energy storage device.
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