The rotating disk is a useful laboratory tool for measuring dissolution of solids. The relationship for the mass transfer coefficient is Sh= 0.62Re^0.5. Se^1/5 where Re= r^2ωrho/μ

where ω is the rotation speed and r is the disk radius. The length parameter in the Sherwood number is the radius. Consider a rotating disk with a 3.0 cm diameter, rotating at 250.0 rpm, with a solid dissolving into a liquid at 25.0°C with the properties of water. The diffusion coefficient of the dissolved solid in water is 2.00x10-9 m²/s, and the solubility of the solid in the liquid is 0.200 kg/m².

Required:
Determine the initial rate of dissolution in kg/s. The initial dissolution rate occurs when there is zero dissolved solid in solution.