Air containing 1.6 vol% SO₂ is scrubbed at 1 atm with pure water in a packed column of 1.5-m² cross-sectional area and 3.5m height, packed with No. 2 plastic Super Intalox saddles. Total gas flow rate is 0.062 kmol/s, liquid flow rate is 2.2 kmol/s, and outlet gas SO₂ concentration is y = 0.004. At the column temperature, the equilibrium relationship is y = 40x. 

(a) What is L/L_min? 

(b) Calculate N_OG and compare your answer to that for the number of theoretical stages required. 

(c) Determine H_OG and the HETP from the operating data. 

(d) Calculate K_Ga from the data, based on a partialpressure driving force as in Item 2 of Table 6.5.

Table 6.5 Alternative Mass-Transfer Coefficient Groupings Height of a Transfer Unit, HTU Driving Force 1. (y-y*) 2. (p-p) 3. (Y - Y*) 4. (y - 3) 5. (P-Pr) 6. (x*-x) 7. (cc) 8. (X* -X) 9. (x1 - x) 10. (C-C) Symbol HOG HOG HOG HG Ho HOL HOL HOL H H EM Diffusion or Dilute UM Diffusion V K, as V KGAPS W KyaS V kyas V kaps L Kas L Ka(PL/ML)S L Kxas L kxas L ka(PL/M)S UM Diffusion *The substitution Ky = KYB or its equivalent can be made. V Ka(1-y)LMS V K'ga(1-y)IMPS V KyaS V ka(1-y)MS V ka(P-P)LMS L Ka(1-x)LMS L K'La(PL/ML-C)LMS L Kxas L ka(1-x)LMS L ka(PL/ML-C)LMS Symbol NOG NOG NOG NG NG NOL NOL NOL NL N Number of a Transfer Unit, NTU EM Diffusion or Dilute UM Diffusion Jo dy dp Jo dy (Y-Y*) dy Ja dp (p-. -PV) dx (x+x) de dx (X* -. dx (x1 - x) La de UM Diffusion (1-y)Mdy | (P-P)LMdp dy (Y - Y*) (1-y)LMdy (P-P)(P-Pr) (1-x) dx (x (PL/ML-C)Mdx dx (X* - X) (1-x)LMdX (PL/ML-C)LMdc