(Solved): PART B answer please thanks 1. Two graduate students claim to have designed a device that makes u ...

PART B answer please thanks

1. Two graduate students claim to have designed a device that makes use of solar energy to cool homes. They are making a pitch to the partners in a venture capital firm for investment; they want to build a prototype. You are hired as an expert for "due diligence" work. Your job is to make recommendations to the partners regarding the feasibility of such a device and whether an investment is advisable. The device is composed of two major pieces of hardware, a pressurized water tank that is maintained at temperature \( \mathrm{T}_{\mathrm{t}} \) and a wall unit that is installed on one of the walls of the house such that it can have heat interactions both with the house and the outside air. The device is also configured such that the wall unit can have heat interactions with the tank. The wall unit takes heat from the solar tank and from the house and rejects it into the surrounding air. Using a cyclic process, it maintains the home at \( 20^{\circ} \mathrm{C} \). They want to market this device in Singapore where the outside air temperature can reach as high as \( 40^{\circ} \mathrm{C} \). The device does not use electricity and would be considered a breakthrough. The graduate students have already received a lot of media attention, thanks to the rolling blackouts and soaring energy prices in the region. The local solar influx (incident onto the energy collectors of the tank) is \( 1000 \mathrm{~W} / \mathrm{m}^{2} \). Obviously, the question is whether such a device is possible with reasonable size (area) collector and reasonable tank temperatures. The collector is commercially available for home solar and pool heaters and consists of small \( 0.25 \)-inch diameter tubes running parallel across a flat black surface. The water is heated in the collector tubes and collected in the tank. Assume that an average size home requires a cooling rate of about \( 5 \mathrm{~kW} \). Without considering the details of the internal hardware, please answer the following questions: a) What is the minimum temperature that the solar tank has to be maintained at for this device to work? How large is the solar collection area for this case? (20 points) b) Calculate the minimum solar energy collection area if we like to design a tank that can be maintained at \( 10^{\circ} \mathrm{C} \) above the ambient air temperature. (15 points)