Aerosol transport due to Brownian and convective mechanisms in variable-radius spherical bubbles rising in a stagnant liquid is modeled. The modeling is based on the extension of Kronig and Prink’s analysis of mass transfer in a bubble or droplet, and accounts for the coupling between the two aerosol transport mechanisms. Parametric calculations are performed for air and steam bubbles containing aqueous aerosols and rising in stagnant water, within parameter ranges where bubbles can remain spherical and non-oscillating, and Brownian and convective transport are the only dominant aerosol removal mechanisms. It is shown that, within the aforementioned parameter range, Fuch’s model for Brownian aerosol removal is inadequate.