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Reacting chemicals are stored in a spherical stainless steel container of outer radius ro = 6...

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Physics

Reacting chemicals are stored in a spherical stainless steelcontainer of outer radius ro = 6 cm and of inner radius is 5 cm.The chemicals generate a uniform heat at a constant rate of ???? ̇= 8 × 107 W m3 ⁄ . The outer surface of the container is maintainedat a uniform temperature of 100 °C. Consider a steadyone-dimensional heat transfer and

a. Write an appropriate form of heat conduction equation for thesphere.

b. Express the boundary conditions.

c. Obtain a relation for the variation of temperature by solvingthe differential equation.

d. Calculate the temperature at the center of the sphere.

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