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A flavor compound is held within a 5 mm diameter time-release sphere. The sphere is placed in a liquid food and will release the flavor

A flavor compound is held within a 5 mm diameter time-release sphere. The sphere is placed in a liquid food and will release the flavor compound after one month of storage at 208 degrees Celsius. The concentration of flavor within the sphere is 100%, and the mass diffusivity for the flavor compound within the liquid food is 7.831029 m^2/s. Estimate the steady-state mass flux of flavor into the liquid food from the surface of the time-release sphere. The convective mass transfer coefficient is 50 m/s.

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