A pot with a steel bottom thick rests on a hot stove

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

A pot with a steel bottom 1.2 cm1.2\,\text{cm} thick rests on a hot stove. The area of the bottom of the pot is 0.150 m20.150\,\text{m}^2. The water inside the pot is at 100∘C100^\circ\text{C}, and 0.440 kg0.440\,\text{kg} evaporates every 5.0 min5.0\,\text{min}. Find the temperature of the lower surface of the pot, which is in contact with the stove. Take Lv=2.256×106 J/kgL_v=2.256\times10^6\,\text{J/kg} and ksteel=50.2 W/(m K)k_{\text{steel}}=50.2\,\text{W/(m\,K)}.

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