A spherical shell has inner radius 3.00 cm and outer radius7.00 cm. It is made of material with thermal conductivityk = 0.800 W/m - °C. The interior is maintained at tempera-ture 5°C and the exterior at 40°C. After an interval of time,the shell reaches a steady state with the temperature at eachpoint within it remaining constant in time. (a) Explain whythe rate of energy transfer P must be the same througheach spherical surface, of radius r, within the shell andmust satisfydT_dr4rkr?(b) Next, prove thatr0.07r-2 dr4 Tk Joos40dT =where Tis in degrees Celsius and ris in meters. (c) Find therate of energy transfer through the shell. (d) Prove thatdT = 1.84Jo.03| r? drwhere Tis in degrees Celsius and r is in meters. (e) Findthe temperature within the shell as a function of radius.(f) Find the temperature at r = 5.00 cm, halfway throughthe shell.

Solution: Data: The inner radius of the spherical shell, The outer radius of the spherical shell,…

Answered: A spherical shell has inner radius 3.00…

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