15.31. Scale-up of laboratory data for fixed-bed adsorption. A small laboratory fixed bed 10.16cm in diameter and 16cm in length, containing 600g of activated carbon (C), has been used to adsorb n-butanol (B) from air containing 365ppm of B. Measurements of the effluent concentration in terms of cout/cF as function of time t are: Other pertinent data are: entering superficial gas velocity, us= 58cm/s;T=25C;P=737mmHg; bed porosity, =0.456; average particle diameter, dp=0.37cm; and butanol MW= 74.12g/mol. A cylindrical vessel with an inside diameter of 2ft and a height of 5ft is available to conduct the adsorption on an industrial scale. The vessel can be packed with carbon to a 4ft height. Plot the laboratory data and determine: (a) the mass velocity of the gas as it enters the bed in ggas/cm2h, (b) the equilibrium loading of the carbon laboratory bed in gB/gC, and (c) the fraction of the laboratory bed utilized in the experiment if the breakthrough time is taken at cout/cF=0.05. For the industrial application calculate: (d) the gas flow rate in kg/h for the same entering superficial velocity used in the laboratory experiment, (e) the fraction of the industrial bed that can be utilized; and (f) the estimated breakthrough time in h