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

Reacting chemicals are stored in a spherical stainless steel container 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 maintained at a uniform temperature of 100 °C. Consider a steady one-dimensional heat transfer and

a. Write an appropriate form of heat conduction equation for the sphere.

b. Express the boundary conditions.

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

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

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Expert Solution

genius_generous answered 2 years ago
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