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A stream of hot liquid water at 50 °C flowing at a rate of 15 kg/h is to be steadily mixed with a cold liquid water at 10 °C at rate of 10 kg/h in mixer. Because of the mixer is poorly insulated, there has been heat lost a rate of 0.5 kW. The water is initially at 10°C. The initial mass of water in the mixer is 100 kg. Assume the heat capacity is 4.184 kJ/kg.°C and independent of temperature. Write a differential energy balance on the temperature leaving the tank. (4. 198 -0.25t) What is the maximum temperature, the water can achieve. (16.79°C) Derive an expression for T(t) for the leaving water temperature change with time. (16.792 -6.792e 0.251) d. a. b. с. Derive an expression for T(t) "z the above process if the mixer is perfectly insulated. What is the maximum temperature the water leaving the tank can achieve. On the graph, plot the water temperature change with time for insulated and unsilated mixer. Compare the water temperature profile and explain the difference. (34°C; 16.792 - 6.792e 0.25t)

A stream of hot liquid water at 50 °C flowing at a rate of 15 kg/h is to be steadily mixed with a cold liquid water at 10 °C at rate of 10 kg/h in mixer. Because of the mixer is poorly insulated, there has been heat lost a rate of 0.5 kW. The water is initially at 10°C. The initial mass of water in the mixer is 100 kg. Assume the heat capacity is 4.184 kJ/kg.°C and independent of temperature. Write a differential energy balance on the temperature leaving the tank. (4. 198 -0.25t) What is the maximum temperature, the water can achieve. (16.79°C) Derive an expression for T(t) for the leaving water temperature change with time. (16.792 -6.792e 0.251) d. a. b. с. Derive an expression for T(t) "z the above process if the mixer is perfectly insulated. What is the maximum temperature the water leaving the tank can achieve. On the graph, plot the water temperature change with time for insulated and unsilated mixer. Compare the water temperature profile and explain the difference. (34°C; 16.792 - 6.792e 0.25t)

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A stream of hot liquid water at 50 °C flowing at a rate of 15 kg/h is to be steadily mixed with a cold liquid water at 10 °C at rate of 10 kg/h in mixer. Because of the mixer is poorly insulated, there has been heat lost a rate of 0.5 kW. The water is initially at 10°C. The initial mass of water in the mixer is 100 kg. Assume the heat capacity is 4.184 kJ/kg.°C and independent of temperature. Write a differential energy balance on the temperature leaving the tank. (4. 198 -0.25t) What is the maximum temperature, the water can achieve. (16.79°C) Derive an expression for T(t) for the leaving water temperature change with time. (16.792 -6.792e 0.251) d. a. b. с. Derive an expression for T(t) "z the above process if the mixer is perfectly insulated. What is the maximum temperature the water leaving the tank can achieve. On the graph, plot the water temperature change with time for insulated and unsilated mixer. Compare the water temperature profile and explain the difference. (34°C; 16.792 - 6.792e 0.25t)
Transcribed Image Text:A stream of hot liquid water at 50 °C flowing at a rate of 15 kg/h is to be steadily mixed with a cold liquid water at 10 °C at rate of 10 kg/h in mixer. Because of the mixer is poorly insulated, there has been heat lost a rate of 0.5 kW. The water is initially at 10°C. The initial mass of water in the mixer is 100 kg. Assume the heat capacity is 4.184 kJ/kg.°C and independent of temperature. Write a differential energy balance on the temperature leaving the tank. (4. 198 -0.25t) What is the maximum temperature, the water can achieve. (16.79°C) Derive an expression for T(t) for the leaving water temperature change with time. (16.792 -6.792e 0.251) d. a. b. с. Derive an expression for T(t) "z the above process if the mixer is perfectly insulated. What is the maximum temperature the water leaving the tank can achieve. On the graph, plot the water temperature change with time for insulated and unsilated mixer. Compare the water temperature profile and explain the difference. (34°C; 16.792 - 6.792e 0.25t)
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