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There is a tank made of stainless steel, the diameter of the cylindrical tank is 300mm and the depth is 300mm, there is water

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There is a tank made of stainless steel, the diameter of the cylindrical tank is 300mm and the depth is 300mm, there is water in this tank, the tank is surrounded by a copper pipe, the mouth diameter of the copper pipe is 12.7mm, but the length of the pipe is unknown, a predictable length can be assumed to surround the tank. In this system, the aim is to keep the liquid in the tank at 20 degrees, but this water heats up over time and rises to 30 degrees, so we created a cooling cycle to cool the water. In our cooling cycle, the refrigerant (r134a) sent from the evaporator is compressed by the compressor and its temperature and pressure are increased. The refrigerant, whose pressure and temperature increases, passes into the condenser. At this stage, the liquid refrigerant passes through the expansion valve, undergoes a temperature change and cools. Here, the cold refrigerant flows into the copper pipe wrapped around our tank, which is the last element of the cycle. The water is cooled by transferring its heat to the water through the copper pipe located here. The cooled water is sent to the system with the help of a hydraulic pump and the cooling cycle continues in this way. Can you calculate Q heat and COP by assuming the values for the cooling cycle in this system? Also show the heat conduction at the point where the water touches the steel tank, and the heat conduction at the point where the copper pipe touches the steel tank and cools the water? Show where convection occurs in the system? (I want to learn the logic of the system)

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