A packed tower with diameter 100mm contains spheres of 4mm diameter of a slightly soluble material B. Pure water enters the top of the tower at 300K with a flowrate of 4 litres per minute. The total surface area of the spheres in contact with water is 0.02m2. The shrinkage of the spheres may be considered negligible as the bed is operated only for a few days at pseudo-steady state. The correlation for mass transfer from a bed of spheres is Sh=2.5Re0.33Sc0.33 where velocity is calculated based on empty tower and particle diameter is used as characteristic length. i. Define the Schmidt, Sherwood and Reynolds numbers, describing the ratios they represent. ii. Calculate the mass transfer coefficient for transfer of B to the water. iii. Calculate the bulk concentration of B in the outlet water stream. iv. Rewrite the given correlation for mass transfer as a heat transfer correlation for spheres in a packed tower and explain the analogy between heat and mass transfer. Does it extend to momentum transfer here? Data: Viscosity of water stream: 0.9mPas Density of water: 990kgm3 Diffusivity of B in water: 0.001mm2s1 Saturation concentration of B in water: 0.03kmolm3 The physical properties of water may be assumed not to vary with