You have probably seen little packets of silica gel particles to absorb water in all kinds of food and consumer
products. Imagine that a 2mm diameter particle is in a rapidly flowing air stream at a velocity of 50c(m)/(s) containing
1.0 mole% of H2O vapor. The pressure of 1.0atm and temperature of 25deg C. At equilibrium, water vapor has a
linear solubility in silica gel, c_(W)^(**)=SP_(w), where S=2.0(mol)/(cm^(3)(atm)). At 25deg C, the diffusion coefficient of H2O in the
silica gel is 1.0 imes 10^(-6)cm(2)/(s). Initally, the silica contains no H2O. Assume that the partial pressure of H2O vapor in
the gas stream remains constant.
a. What is the mass transfer coefficient for water vapor in air?
b. Use your answer to a to find the Biot number for system. Is this system limited by external convection or
internal diffusion?
c. Use charts to find the concentration of H2O in the center of the silica gel bead after 1hr.
4. You have probably seen little packets of silica gel particles to absorb water in all kinds of food and consumer products. Imagine that a 2mm diameter particle is in a rapidly flowing air stream at a velocity of 50 cm/s containing 1.0 mole% of H20 vapor. The pressure of 1.0 atm and temperature of 25'C. At equilibrium, water vapor has a mol linear solubility in silica gel, cw = SPw, where S = 2.0- At 25C, the diffusion coefficient of H2O in the cm3atm silica gel is 1.0x10- cm2/s. Initally, the silica contains no H20. Assume that the partial pressure of H20 vapor in the gas stream remains constant. a. What is the mass transfer coefficient for water vapor in air? b. Use your answer to a to find the Biot number for system. Is this system limited by external convection or internal diffusion?
c. Use charts to find the concentration of H20 in the center of the silica gel bead after 1 hr.