Q11: Consider a homogeneous spherical piece of radioactive material of radius ro =0.04 m that is generatingheat at a constant rate of g'= 4 x 10' W/m?. The heat generated is dissipated to the environment steadily.The outer surface of the sphere is maintained at a uniform temperature of 80°C and the thermalconductivity of the sphere is k = 15 W/m °C. Assuming steady one-dimensional heat transfer, (a) expressthe differential equation and the boundary conditions for heat conduction through the sphere, (b) obtain arelation for the variation of temperature in the sphere by solving the differential equation, and (c)determine the temperature at the center of the sphere.

Given, Thermal conductivity of the sphere is k= 15 W/m Radius of sphere r0=0.04 m Rate of heat…

Answered: : Consider a homogeneous spherical…

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