A number of beverage additives come in a powdered form where the powder will dissolve. In some cases, the powder contains an active ingredient that will react with the beverage to create an effect, such as releasing CO2. Let us model this as a particle of A being suspended in a liquid B. A will diffuse into the liquid and undergo a first order reaction with B based on a rate constant of k1”. Use the equation of continuity of mass to find the concentration profile of A through the liquid assuming the particle is spherical. Please state all assumptions needed to simplify the equation and the 2 boundary conditions needed to obtain the concentration profile. Use the concentration profile obtained to determine the flux of A leaving the surface of the particle.