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Name: PHS 212A - Spring 2023 Final Exam ming 3. Prof. Conlin wanted to figure out the rate of heat transfer Q/t of his new
Name: PHS 212A - Spring 2023 Final Exam ming 3. Prof. Conlin wanted to figure out the rate of heat transfer Q/t of his new induction stove, in Joules/second (aka Watts). You did this for his old stove on Exam 2, now we'll compare! (Side note: An induction stove heats up food using an electric current to induce a magnetic field, which then shakes electrons in the steel pot, heating up the pot from within. In contrast, a gas stove sets natural gas on fire and transfers heat by conduction from the gas to the pot.) Prof. Conlin found the masses of the steel pot and the water. First, he measured the mass of a BIG pot with no water in it, and got 2.545 kg. Then, he measured the pot's mass while half-filled with room-temperature water, and got 5.248 kg. That means the mass of the water is 5.248 kg - 2.545 kg = 2.703 kg. Prof. Conlin then timed how long it took to heat up the water in the stainless-steel pot from room temperature up to the boiling point. Prof. Conlin put the pot on the burner at 4:53pm. The water started boiling at 4:59pm (360 seconds later). 1 2543 Ozeri Ozeri (a) Heating up water. Calculate the amount of heat Qw in Joules it took to raise the temperature of the 2.703 kg of water from room temperature (20 .C) to the boiling point of water (100 .C). (hint: you'll want to look up the specific heat capacity of water) b) Heating up steel pot. Calculate the amount of heat Qs in Joules it took to raise the temperature of the stainless-steel pot from room temperature (20 .C) to the boiling point of water (100 .C). (hint: you'll want to look up the specific heat capacity of stainless steel) (c) Compute the rate of heat transfer. To calculate the rate of heat transfer Q/t in Joules/second, divide the total amount of energy Q transferred to the water + steel pot by the time t. (d) Compare to the gas stove. On Exam 2, you helped Prof. Conlin find out the rate of heat transfer for his old gas stove was about 589 Joules/second. Given your answer in part (c), is the rate of the induction stove greater, less than, or about the same as the gas stove? Why do you think that is? 8
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