CHEMICAL ENGINEERING
MASS TRANSFER 255 At depth of 0.1 mmD 10 ^4 m: √ 1 6 k 2 D yD 93. 8 and: {( CAs CA ) 1 / 2 1 } D 93. 8 C C 1 / 2 As D^18.^8 ( ...
256 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS It may be noted that: ∫ 1 0 ex 2 dxD p 2 Solution (a) If the age distribution fun ...
MASS TRANSFER 257 (b) For an age range of surface from 0 to 2/s, application of equation (ii) gives: 1 DK ∫ 2 /s 0 estdtDK [ e ...
258 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS The total surface is: 1DK ∫ 1 0 ekt (^2) / 2 dtDK √ 2 k ∫ 1 0 ekt (^2) / 2 d p k/ ...
MASS TRANSFER 259 The surface not going fromtdt/ttot/tCdtDftdt dtft dt Df^0 tdt dtdt This will be surface destroyed in t ...
260 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS The mass transfer rate at timetis:CAkt^1 /^2 Thus the age of surface at which rate ...
MASS TRANSFER 261 If: ADMVC BDLVC,then: (^9) AD 1. (^59) B N^0 A (^9) ADN^0 B (^9) B and: N^0 BDN^0 A, (^9) A (^9) B D 1. 5 N ...
262 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS and: dCA dy DCT dxA dy D 9 .16 kmol/m^4. PROBLEM 10.35 For the diffusion of carbon d ...
MASS TRANSFER 263 Thus: CAs p DB. 1 and: CNAD CAs p e p p/Dy. Inverting: CA CAs Derfc y 2 p Dt See Table in Volume 1, Appendix ...
264 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS Henry’s law constant,KD 1. 08 ð 106 ,where:KDP/X. Also:PD760 mm Hg XDMol fraction in ...
MASS TRANSFER 265 From Stefan’s Law: dCA dy DN^0 A 1 D Ð CB CT (equation 10.30) Thus: DD RT FCT or: FD RT DCT ii For the three ...
266 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS xT/xBm,LandCAare as in case 1. ∴ N^0 AD D^0 L CA xT xBm D 1 L CA xT xBm Ð 41. 5 ...
MASS TRANSFER 267 Integrating for the steady state, then: NADD CA 1 CA 2 y 2 y 1 DDCT xA 1 xA 2 L i Case (b):The net heat ...
268 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS PROBLEM 10.38 Based on the assumptions involved in the penetration theory of mass tr ...
MASS TRANSFER 269 From Stokes’ Law, the terminal falling velocity of the droplet is given by: 3 du 0 D 6 d^3 +s+ g or: u 0 ...
270 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS a velocity equal to half the terminal falling velocityu 0 of the droplets. On increa ...
MASS TRANSFER 271 Concentration of solute in dropDKt^1 e/^2 d^0 ^1 ∴ C 2 DK { H kd^02 ^34 d^2 } 1 / 2 d^0 ^1 Given that:C ...
272 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS LD^82 D4mmor0.004 m fD 500 ð 0. 004 D 2 Thus the effectiveness factor,;D tanhf f D ...
MASS TRANSFER 273 or: D^0 D 24. 2 ð 10 ^6 m^2 /s The mass transfer coefficient is: D^0 L ( 1 log mean 1 and 0. 8 ) D 24. 2 ð 10 ...
274 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS WhentD50 s andCA/CASD 0 .1, then: 0. 1 Derfc y 2 p 10 ^9 ð 50 or: 0. 9 Derf y 2 p D ...
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