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//Harriot P.,2003,Chemical Reactor Design (I-Edition) Marcel Dekker,Inc.,USA,pp 436
//Chapter-7 Ex7.5.a Pg No.293
//Title:Maximum rate of CO absorption
//===========================================================================================================
clear
clc
//INPUT
P_dash=5;//Partial pressure of acetic acid (atm)
P_total=20;//Total Pressure (atm)
myu=0.19;// Viscosity of acetic acid
T_C=180;//Temperature in (°C)
T_K=T_C+273;//Temperature in (K)
sigma_20=28;//Surface Tension(Dynes/cm) at 20 (°C)
sigma_180=20;//Surface Tension (Dynes/cm)at 180 (°C)
M_CO=28;//Molecular weight of CO
M_B=60.05;//Molecular weight acetic acid
V_A= 30.7;//Molar volume
S_CO=7*10^(-3);//Solubility of CO (mol/L atm)
f_CO=0.75;//Fraction of CO
f_acetic_acid=1-f_CO;//Fraction of Acetic acid
R=82.056*(10^-3);//(cm3 atm/ K mol)
rho_air=1.21;//(kg/m3)density of air at 20 (°C)
sigma_H2O=72;//Surface tension (Dynes/cm)
myu_H2O=1;//Viscosity of water
k_L_a_air_water=0.051;//(sec-1)
D_O2_water=2.4*(10^-5);//(cm2/sec)diffusivity for oxygen in water at 20(°C)
Conc_Rh=4*10^(-3);//Concentration of Rohdium(M)
Conc_CH3I=1;//Concentration of Methyl Iodide(M)
//CALCUATION
D_CO=(7.4*10^(-8)*M_B^(1/2)*T_K)/(myu*V_A^(0.6));//Diffusivity of CO (Wilke–Chang equation Eq4.17)
M_ave=f_CO*M_CO+M_B*f_acetic_acid;//Average Molecular weight
rho_g=M_ave*P_total/(R*T_K);//From ideal gas law
epsilon_air_water= 0.12;//At velocity 6(cm/sec)
epsilon=epsilon_air_water*(sigma_H2O/sigma_180)^(0.4)*(myu/myu_H2O)^(0.2)*(rho_g/rho_air)^(0.2);//From equation 7.64
u_G=6;//From figure 7.12(cm/sec)
k_L_a=k_L_a_air_water*(D_CO/D_O2_water)^(0.5)*(epsilon/epsilon_air_water);//From equation 7.69
P_CO=P_total-P_dash;
C_CO_Star=S_CO*P_CO;
r_max=C_CO_Star*k_L_a;//Rate of CO absorption at 15 atm
r_test=158.8*(10^(6))*exp(-8684/T_K)*(Conc_Rh)*(Conc_CH3I);//Kinetic rate at 180 (°C)
//OUTPUT
//Console Output
mprintf('\n\tThe maximum rate of CO absorption at 15 atm : %0.3f (mol/L s)',r_max);
mprintf('\n\tThe kinetic rate of CO absorption at 180(°C) : %0.3f (mol/L s)',r_test);
mprintf('\n\tThe predicted value of k_L_a : %0.2f (s-1)',k_L_a);
//File Output
fid= mopen('.\Chapter7_Ex5_a_Output.txt','w');
mfprintf(fid,'\n\tThe maximum rate of CO absorption at 20 atm : %0.3f (mol/L s)',r_max);
mfprintf(fid,'\n\tThe kinetic rate of CO absorption at 180(°C) : %0.3f (mol/L s)',r_test);
mfprintf(fid,'\n\tThe predicted value of k_L_a : %0.2f (s-1)',k_L_a);
mclose(fid);
//=================================================END OF PROGRAM===========================================================
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