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1.26cd. Molecular diffusion through a gas-liquid interface Ammonia, NH3, is being selectively removed from an air-NH, mixture by absorption into water. In this steady-state

1.26ed. Molecular diffusion through a gas-liquid interface Ammonia, NH3, is being selectively removed from an air-NH, mixture by absorption into water. In this steady-state process, ammonia is transferred by molecular diffusion through a stagnant gas layer 5 mm thick and then through a stagnant water layer 0.1 mm thick. The concentration of ammonia at the outer boundary of the gas layer is 3.42 mol% and the concentration at the lower boundary of the water layer is essentially zero The temperature of the system is 288 K and the total pressure is 1 atm. The diffusivity of ammonia in air under these conditions is 0.215 cm2/s and in liquid water is 1.77 ? 10-5 cm2/s. Neglecting water evaporation, determine the rate of diffusion of ammonia, in kg/m2-h. Assume that the gas and liquid are in equilibrium at the interface The equilibrium data for ammonia over very dilute aqueous solution at 288 K and 1 atm can be represented by (Welty et al., 1984) y0.121 +0.013 lnxA = 0.0342 Hint: At steady-state, the ammonia rate of diffusion through the gas layer must equal the rate of dif- fusion through the liquid layer as z= 5.0 mm Interface *A 0.0 Answer: 0.053 kg/m2-h

1.26cd. Molecular diffusion through a gas-liquid interface Ammonia, NH3, is being selectively removed from an air-NH, mixture by absorption into water. In this steady-state process, ammonia is transferred by molecular diffusion through a stagnant gas layer 5 mm thick and then through a stagnant water layer 0.1 mm thick. The concentration of ammonia at the outer boundary of the gas layer is 3.42 mol % and the concentration at the lower boundary of the water layer is essentially zero. The temperature of the system is 288 K and the total pressure is 1 atm. The diffusivity of ammonia in air under these conditions is 0.215 cm/s and in liquid water is 1.77 x 10-5 cm/s. Neglecting water evaporation, determine the rate of diffusion of ammonia, in kg/m-h. Assume that the gas and liquid are in equilibrium at the interface. The equilibrium data for ammonia over very dilute aqueous solution at 288 K and 1 atm can be represented by (Welty et al., 1984) Gas Liquid NA y = 0.121+0.013 ln x YA = 0.0342 z = 5.0 mm Interface *A=0.0 Hint: At steady-state, the ammonia rate of diffusion through the gas layer must equal the rate of dif- fusion through the liquid layer. Answer: 0.053 kg/m-h

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