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QUESTION 3 Insulated container Nichrome heater Figure 2 Based on the manufacturer's details, a heater is made of pure nichrome with 3.0 kg mass. The water container is insulated and has a maximum capacity of 100 kg of water. A group of scientists tasked to conduct experiments on the heater. Equipment, tools and utilities starts with temperature of 25°C. The scientists used these as reference: Specific heat capacity of nichrome = 450 J.kg-¹.°C-1, Specific heat capacity of water = 4182 J.kg 1.°C-1. a) The heater was connected to an electric point without any water in it. Using electric regulator, 5000 kJ of energy was used and converted into heat by the heater. Assuming there is no energy leakage, what is the expected new temperature of the heater? (CO3, PO1, C3) b) 100 kg of water with temperature of 25°C was then poured into the insulated container with the heater submerged in it. What is the expected temperature of water when it reaches equilibrium? (CO3, PO1, C3) c) The scientists then wanted to check the heater's performance to boil water. The water in insulated container was removed and replaced with new water with the same volume (100 kg) at 25°C. Based on the manufacturer's specification, the heater can supply energy at the rate of 58,000 kJ/h. Based on this, calculate the expected time it takes for the water to boil. (CO3, PO1, C3) d) At the end of the experiment, the scientists conducted another experiment to measure its energy conversion efficiency. 15,000 kJ electrical energy was released to the heater, however only 12,000 kJ of energy was released as heat. Calculate the efficiency of the heater. Suggest probable causes why this happens. (CO3, PO1, C3)

QUESTION 3 Insulated container Nichrome heater Figure 2 Based on the manufacturer's details, a heater is made of pure nichrome with 3.0 kg mass. The water container is insulated and has a maximum capacity of 100 kg of water. A group of scientists tasked to conduct experiments on the heater. Equipment, tools and utilities starts with temperature of 25°C. The scientists used these as reference: Specific heat capacity of nichrome = 450 J.kg-¹.°C-1, Specific heat capacity of water = 4182 J.kg 1.°C-1. a) The heater was connected to an electric point without any water in it. Using electric regulator, 5000 kJ of energy was used and converted into heat by the heater. Assuming there is no energy leakage, what is the expected new temperature of the heater? (CO3, PO1, C3) b) 100 kg of water with temperature of 25°C was then poured into the insulated container with the heater submerged in it. What is the expected temperature of water when it reaches equilibrium? (CO3, PO1, C3) c) The scientists then wanted to check the heater's performance to boil water. The water in insulated container was removed and replaced with new water with the same volume (100 kg) at 25°C. Based on the manufacturer's specification, the heater can supply energy at the rate of 58,000 kJ/h. Based on this, calculate the expected time it takes for the water to boil. (CO3, PO1, C3) d) At the end of the experiment, the scientists conducted another experiment to measure its energy conversion efficiency. 15,000 kJ electrical energy was released to the heater, however only 12,000 kJ of energy was released as heat. Calculate the efficiency of the heater. Suggest probable causes why this happens. (CO3, PO1, C3)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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QUESTION 3 Insulated container Nichrome heater Figure 2 Based on the manufacturer's details, a heater is made of pure nichrome with 3.0 kg mass. The water container is insulated and has a maximum capacity of 100 kg of water. A group of scientists tasked to conduct experiments on the heater. Equipment, tools and utilities starts with temperature of 25°C. The scientists used these as reference: Specific heat capacity of nichrome = 450 J.kg-1.°C-1, Specific heat capacity of water = 4182 J.kg-¹.°C-1. a) The heater was connected to an electric point without any water in it. Using electric regulator, 5000 kJ of energy was used and converted into heat by the heater. Assuming there is no energy leakage, what is the expected new temperature of the heater? (CO3, PO1, C3) b) 100 kg of water with temperature of 25°C was then poured into the insulated container with the heater submerged in it. What is the expected temperature of water when it reaches equilibrium? (CO3, PO1, C3) c) The scientists then wanted to check the heater's performance to boil water. The water in insulated container was removed and replaced with new water with the same volume (100 kg) at 25°C. Based on the manufacturer's specification, the heater can supply energy at the rate of 58,000 kJ/h. Based on this, calculate the expected time it takes for the water to boil. (CO3, PO1, C3) d) At the end of the experiment, the scientists conducted another experiment to measure its energy conversion efficiency. 15,000 kJ electrical energy was released to the heater, however only 12,000 kJ of energy was released as heat. Calculate the efficiency of the heater. Suggest probable causes why this happens. (CO3, PO1, C3)
Transcribed Image Text:QUESTION 3 Insulated container Nichrome heater Figure 2 Based on the manufacturer's details, a heater is made of pure nichrome with 3.0 kg mass. The water container is insulated and has a maximum capacity of 100 kg of water. A group of scientists tasked to conduct experiments on the heater. Equipment, tools and utilities starts with temperature of 25°C. The scientists used these as reference: Specific heat capacity of nichrome = 450 J.kg-1.°C-1, Specific heat capacity of water = 4182 J.kg-¹.°C-1. a) The heater was connected to an electric point without any water in it. Using electric regulator, 5000 kJ of energy was used and converted into heat by the heater. Assuming there is no energy leakage, what is the expected new temperature of the heater? (CO3, PO1, C3) b) 100 kg of water with temperature of 25°C was then poured into the insulated container with the heater submerged in it. What is the expected temperature of water when it reaches equilibrium? (CO3, PO1, C3) c) The scientists then wanted to check the heater's performance to boil water. The water in insulated container was removed and replaced with new water with the same volume (100 kg) at 25°C. Based on the manufacturer's specification, the heater can supply energy at the rate of 58,000 kJ/h. Based on this, calculate the expected time it takes for the water to boil. (CO3, PO1, C3) d) At the end of the experiment, the scientists conducted another experiment to measure its energy conversion efficiency. 15,000 kJ electrical energy was released to the heater, however only 12,000 kJ of energy was released as heat. Calculate the efficiency of the heater. Suggest probable causes why this happens. (CO3, PO1, C3)
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