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Part 2 King Saud University Department of Chemical Engineering Test 2 ChE 316 Time: 60 min Total Pages: 1 Open Book Question 2a From a single stage membrane separation, compositions (mole%) of streams is as follows: • Feed: CO2 (A) =7, CH4 (B) = 93 • Permeate: CO2 = 40, CH4 = 60 • Retentate: CO2 = 3, CH4 = 97 I. Determine the separation factor (αCO2, CH4). II. If Feed= 100 mol/h, Permeate= 10 mole/h and the Retentate= 90 mol/h. Determine the cut and the %recovery of CH4 in the retentate. Question 2b: The wet sample (dry solid + water) weight of a solid material is 10 kg. And, the bone dry sample (dry solid only) weight is 5 kg. The wet sample is dried with the flow of air. At equilibrium after a long period, the wet sample weight is found to be 6 kg. Determine its • • • equilibrium moisture content, X* (kg water/kg dry solid) free moisture content, X (kg water/kg dry solid) total moisture content on wet basis (kg water/kg wet solid) Question 2c (use given figure) i. ii. iii. iv. v. 5 Rate of Drying, (kg water/h.m2) The air at a temperature of 40°C and having a humidity H=0.015 kg water/kg dry air is used to dry a sample of solids saturated with water. Its rate of drying curve is given below. The heat transfer is by convection only. Rate of Drying Curve (Ls/A=20.24 kg/m2) 4 3 What is the critical moisture content, 2 Xc, of the solid. What is the rate of drying in the 1 constant rate period, Rc. What is the temperature of the solid 0 surface when X=0.6 0 If the rate of drying in the falling rate period can be assumed to be linear as R=aX, determine the constant ‘a’. What is the heat transfer coefficient, h, in this case. 0.2 0.4 0.6 0.8 Free Moisture Question 3a A rotary dryer is fed with wet feed at a rate of 1 kg dry solid/s. The feed contains 50% water per kg dry solid and the product is discharged with 3% water per kg dry solid. The entering air is at 107 C and an absolute humidity of 0.007 kg/kg. The solid feed enters at 21 C and leaves at 36 C. The air leaves at 37 C. Allow a radiation heat loss of 25 kJ/kg of dry air. Calculate • mass of air passing through dryer • humidity of the air leaving dryer (Cp data: in kJ/kg K: dry solid= 1.5, dry air = 1.005, water vapor = 1.88, liquid water = 4.19) Question 3b In a drying experiment, what will be the % reduction in the value of the heat transfer coefficient if the velocity of the air is reduced by half (i.e. 50%) for following cases. • The flow of air is parallel to the drying surface • The flow of air is perpendicular to the drying surface 1