A typical colloidal clay particle suspended in water has a diameter of 0.4 um. (a) Calculate the terminal settling velocity for a sand particle in water at 10°C. Assume thesand particle has a density of 2050 kg/m³ (sg, = 2.05). For water at 10 °C, v = 1.306x106m2/s. Assume laminar flow condition (Re < 1). (b) If coagulation and flocculation with other particles manage to increase its size 10 times its initial diameter (at the same shape and density), how many times faster or slower the settling velocity would be?