A flavor compound is held within a $2\mathrm{.}5$ diameter time$-$release sphere. The sphere is placed

in a liquid food and will release the flavor compound after one month of storage at $20\backslash$deg C$.$ The

concentration of flavor within the sphere is $80\%$ and the mass diffusivity for the flavor

compound within the liquid food is $30$ x $10-6$ m$2/$hr$.$ 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$.$