a. Problem 4. Mass transfer coefficients Water in a test tube (1 cm in diameter) is held at a constant temperature of 293 K. The total pressure of air (assume dry) is 1 atm and the temperature is 293 K. The vapor pressure of water at 293K is 17.54 mm Hg or 0.0231 atm. Water in the test tube evaporates at a rate of 4 x 10-7ml/s when the distance between the surface of water and the opening of the test tube is L = 10 cm. Determine the values of the mass transfer coefficients kc, kg, ky. b. If L is reduced to 2 cm, what are the new values for the mass transfer coefficients? DABP c. If NB = 0, show that: kg where (PB) LM PB2 - PB1 and DAB is the LRT(PB)LM In( PB2/ Pbil) diffusivity of water vapor in air, T is temperature (K) and R is the ideal gas law constant (= 82.057 cm'atm/g mol-K) d. Determine the Sherwood number, Shc = kcL/DAB when L = 2 cm. e. What would be the new Sherwood number and mass transfer coefficients if the water in the test tube is directly exposed to the flowing air (or L = 0 cm)? a. Problem 4. Mass transfer coefficients Water in a test tube (1 cm in diameter) is held at a constant temperature of 293 K. The total pressure of air (assume dry) is 1 atm and the temperature is 293 K. The vapor pressure of water at 293K is 17.54 mm Hg or 0.0231 atm. Water in the test tube evaporates at a rate of 4 x 10-7ml/s when the distance between the surface of water and the opening of the test tube is L = 10 cm. Determine the values of the mass transfer coefficients kc, kg, ky. b. If L is reduced to 2 cm, what are the new values for the mass transfer coefficients? DABP c. If NB = 0, show that: kg where (PB) LM PB2 - PB1 and DAB is the LRT(PB)LM In( PB2/ Pbil) diffusivity of water vapor in air, T is temperature (K) and R is the ideal gas law constant (= 82.057 cm'atm/g mol-K) d. Determine the Sherwood number, Shc = kcL/DAB when L = 2 cm. e. What would be the new Sherwood number and mass transfer coefficients if the water in the test tube is directly exposed to the flowing air (or L = 0 cm)