Question 3 An industrial company recently installed a hot water system operates by hot geothermal water. The geothermal water (Cp = 4250 J/kg.°C) at 95°C is to be used to heat fresh water (Cp = 4180 J/kg.°C) at 12°C at a rate of 1.2 kg/s in a double-pipe counter-flow heat exchanger. The heat transfer surface area is 25 m?, the overall heat transfer coefficient is 480 W/m2.°C, the effectiveness of the heat exchanger is desired to be 0.823, and the mass flow rate of geothermal water is larger than that of fresh water. The company assigned you to do the complete analysis on this hot water system. As an engineer, i. calculate mass flow rate of geothermal water (kg/s), ii. estimate the maximum rate of heat transfer (kW), iii. calculate the actual rate of heat transfer (kW), and iv. determine the outlet temperatures of both fluids.

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Question 3
An industrial company recently installed a hot water system operates by hot geothermal water. The
geothermal water (Cp = 4250 J/kg.ºC) at 95°C is to be used to heat fresh water (Cp = 4180 J/kg.°C)
at 12°C at a rate of 1.2 kg/s in a double-pipe counter-flow heat exchanger. The heat transfer surface
area is 25 m?, the overall heat transfer coefficient is 480 W/m2.°C, the effectiveness of the heat
exchanger is desired to be 0.823, and the mass flow rate of geothermal water is larger than that of fresh
water. The company assigned you to do the complete analysis on this hot water system. As an engineer,
i.
calculate mass flow rate of geothermal water (kg/s),
ii.
estimate the maximum rate of heat transfer (kW),
ii.
calculate the actual rate of heat transfer (kW), and
iv.
determine the outlet temperatures of both fluids.
Transcribed Image Text:Question 3 An industrial company recently installed a hot water system operates by hot geothermal water. The geothermal water (Cp = 4250 J/kg.ºC) at 95°C is to be used to heat fresh water (Cp = 4180 J/kg.°C) at 12°C at a rate of 1.2 kg/s in a double-pipe counter-flow heat exchanger. The heat transfer surface area is 25 m?, the overall heat transfer coefficient is 480 W/m2.°C, the effectiveness of the heat exchanger is desired to be 0.823, and the mass flow rate of geothermal water is larger than that of fresh water. The company assigned you to do the complete analysis on this hot water system. As an engineer, i. calculate mass flow rate of geothermal water (kg/s), ii. estimate the maximum rate of heat transfer (kW), ii. calculate the actual rate of heat transfer (kW), and iv. determine the outlet temperatures of both fluids.
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