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Question

A pot with a steel bottom 1.2 cm thick rests on a hot stove. The area of the bottom of the pot is 0.150m2. The water inside the pot is at 100C and 0.440 kg are evaporated every 5.0 minute. Find the temperature of the lower surface of the pot, which is in contact with the stove. Take Lv=2.256×106J/kg and ksteel=50.2W/mK.(in C)

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Solution

The heat flow from stove is used to convert water to steam. Hence,

dQdt=0.44(2.256X106)5(60)=3309J/s

Also, dQdt=KALΔT=50.2(0.15)0.012(T100)

627.5(T100)=3309

T=105.270C

Answer is 105.270C

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