Question

Heat conduction occurs through any material, represented here by a rectangular bar, whether window glass or walrus blubber. The temperature of the material is T2 on the left and T1 on the right, where T2 is greater than T1. The rate of heat transfer by conduction is directly proportional to the surface area A, the temperature difference T2 - T1, and the substance's conductivity k. The rate of heat transfer is inversely proportional to the thickness d. Q kA (T2-T) where Q/t is the rate of heat transfer in watts, k is the thermal conductivity of the material, A and d are its surface area and thickness, and (T2 - T1) is the temperature difference across the slab. Material having thermal conductivity k Area A T>>T Water is boiling in an aluminum pan placed on an electrical element on a stovetop. The pan has a bottom that is 0.800 cm thick and 14.0 cm in diameter Aluminum's thermal conductivity is 220 W/(m °C). In every second, 1.1 g boiling water evaporizes. The latent heat of vaporization for water is 2.26X10J/kg. (a) How much heat is transfered to the boiling water in one second? Don't use scientific notations. Enter a number Submit (5 attempts remaining)

Answer 1

Heat transferred to the boiling water each second =

Bottom area of the pan = $\pi *0.07^{2}=0.0154\ m^{2}$

Temperature difference across the bottom of the pan = $\frac{Qd}{KAt}=\frac{2486*0.08}{220*0.0154} = 58.70 \ degree\ celcius$