A pot with a steel bottom 750 mm thick rests on a hot stove

A pot with a steel bottom 7.50 mm thick rests on a hot stove. The area of the bottom of the pot is 0.145 m^2. The water inside the pot is 100.0degree C at and 0.330 kg are evaporated every 3.00 min. Find the temperature of the lower surface of the pot, which is in contact with the stove.___________degree C

Solution

heat transfer

Q = mLv

= 0.330*2258 = 745.14 kJ

rate of trasffer P = 745.14/180 = 4.139 kW

also P = KA*(T lower - Tupper)/d

=> Tlower = Pd/kA + Tupper

=> T lower = 4139*7.5*10^-3)/(50.2*0.145) + 100 = 104.26 degree celcius