Conduction, How much heat flows through per second?

AI Thread Summary
To calculate the heat flow through the iron pot, the formula Q/t = (kt * A * (deltaT/d)) is used, where kt is the thermal conductivity of iron (73 W/m·K), A is the area (0.02 m²), deltaT is the temperature difference (380°C), and d is the thickness (0.002 m). The initial calculation yielded an incorrect result of 27,740 kJ due to a misunderstanding of unit conversions and area measurements. The correct area conversion from cm² to m² is crucial, as 1 cm² equals 0.0001 m². The user realized the error in area conversion and clarified the temperature difference, confirming it was indeed 380°C. Proper unit conversions and understanding of thermal conductivity are essential for accurate heat flow calculations.
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An iron pot filled with boiling water is on top of a stove. The bottom has a surface area of 200 cm2 and a thickness of 2.00 mm. If the bottom has a temperature of 480°C, how much heat flows through it per second? Answer wanted in kJ/s


Q/t= (kt)A*(deltaT/d)


The thermal conductivity (kt) for iron is 73, the area is 2m, the diameter is 0.002m, and the change in temperature is 380. So, i plug them into the equation: 73(2)*380/0.002= 27740000J which is 27740kJ. But this is the wrong answer. I already tried dividing it by 60 and that doesn't work either. Where am I going wrong? Should I use the thermal conductivity for water instead of iron or is my change in temperature wrong? I think it would be 380 because the surface is boiling water (100) and the bottom is 480.
 
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