A year 2 chemical engineering student is looking to purchase a new water heated radiator to heat up a room which has a rectangular floor space 2.0 m by 3.0m, a floor to ceiling height of 2.5 m, and one window with a surface area of 2.5 m. The properties of air and water can be found in Table 1. Table 1: Fluid properties Properties Specific heat capacity of water Specific heat capacity of air Density of air Density of water a) The overall heat transfer coefficient to describe the heat loss for each of the surfaces in the room is listed in Table 2. If the temperature outside the room (ceiling, floor, walls) can be assumed to be 5 C, show that the overall heat loss as a function of the room temperature (Tr) is: los 77.85 (Tr-5) Surface Ceiling Floor Walls Window -1 4200 J kg K 1000 J kg K 1.22 kg m- 1000 kg m- Table 2: Overall heat transfer coefficient to describe the heat loss through different surfaces in the room.. Table 3: Radiators on sale Radiators A B C D Uloss 1.4 WmK- 1.7 Wm K 2.0 WmK 5.7 WmK-1 b) If the student wishes to maintain a maximum room temperature of 25 C, which radiator in Table 3 will be adequate? Support your decision with calculations. Heat Output 2146 W 1788 W 1073 W 715 W/[\] ENG2121/5/SEMR1/19/20 (1 hand-out) e) If the room temperature was initially at 10 C, how long will it take for the radiator you have chosen in (b) to heat the room to 25 C ? d) For the radiator you have chosen in (b), if the flowrate of the domestic hot water heating system is 0.23 kg s what would be the temperature drop across the water side of the radiator? e) The window is double-glazed with a 12 mm space between two 4 mm thick glass she. Figure 1). When the room is held at 25 C calculate: (i) the temperature on the surface of the glass inside (T) and outside (To) the room if the convective heat transfer coefficient inside the room is 17 W-2 K- and outside is 32 Wm K-. (ii) the total thermal resistance from conduction through the double-glazed glass (assuming conduction also takes place through the space between the two sheets of glass). Dice