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Consider a sphere shaped bead that is self-reactive and produces heat by a chemical reaction at a constant rate QG (W/m3 ). Assume that the

Consider a sphere shaped bead that is self-reactive and produces heat by a chemical reaction at a constant rate QG (W/m3 ). Assume that the sphere is surrounded by air that is kept constant at Tair. Considering uni-directional heat transfer.

a. Write the shell balance for the system

b. Find the temperature profile as a function of r for the sphere

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