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We want to achieve a concentration of 0.5%wt of carbon at a depth of 0.2 mm below the surface of the slab of a metal. The initial concentration of carbon in the metal is 0.1wt%. We first do an experiment by applying a concentration of 5wt% of carbon at the surface of a similar slab and maintaining the system at 900 K for an hour. We find that this is just adequate to produce the required concentration at a depth of 0.1 mm. We now take the original slab and apply a concentration of 5wt% of carbon at the surface, at a temperature of 1200 K. The diffusion coefficient of this metal increases by a factor of 2 when the temperature is raised from 1200 K from 900 K. How long must it be maintained at this temperature to achieved the required concentration?
how are homogeneous and heterogeneous reactions of species accounted for in the species continuity equation? at what
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