A piece of carrot with a thickness of 15 mm and a diameter of 2 cm is dried from both sides. The initial moisture content of carrots is 73% (w/w). The equilibrium moisture content at the surface of the sample is held at 5% (w/w). The diffusivity of the drying process can be assumed as 6.72x10-10 m2 /s. The convective mass transfer coefficient can be taken as 3.56x10-2 m/s. Calculate the moisture content of carrots at the center point after a 10 h drying period.