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+//Harriot P., 2003, Chemical Reactor Design (I-Edition), Marcel Dekker, Inc., USA, pp 436.
+//Chapter-8 Ex8.3 Pg No.
+//Title:Apparent rate constant and consistency
+//===========================================================================================================
+
+clear
+clc
+// COMMON INPUT
+LHSV_inv=[0.75 1.39];//Refer table 8.2 Test Results (Liquid Hourly Space Velocity)
+X_S=[0.77 0.83];//Refer table 8.2 Percentage Sulphur removal
+T_C=365;//Operating Temperature (°C)
+rho=0.64;//Density of Sulphur Compounds (g/cm3)
+myu=0.5;//Viscosity(cP)
+T_K=273+T_C;//Temperature (K)
+M_B=374;//For CHS compounds(Refer table8.1)
+V_A=M_B/0.6;//Molar volume
+Chi=1;
+Epsilon_by_tau=0.1;
+D_pore_by_D_bulk=0.5;//Hinderance due to large molecules
+epsilon_holdup=0.6;// Assuming bed consists 60% catalyst
+k_app_rhob=1.96//Refer Ex8.3.a Run 1
+eta=0.74;
+R=0.095;//Size of particle
+C_H2_incorrect=0.48;//Solubility of H2 at 56 atm
+P_incorrect=56;//Incorrect Pressure
+P_correct=65;//Correct Pressure
+m_feed=640;// Concentration of Feed (g/L);
+percent_S=2.04;//Percentage of Sulphur
+MW_S=32;//Molecular weight of Sulphur
+N_H2=1.5;//Moles of H2
+V_H2=14.3;//Solubility of Hydrogen
+
+//CALCULATION (Ex8.3.a)
+for i=1:2
+    kapp_rhob(i)=log((1/(1-X_S(i))))*(1/LHSV_inv(i));//Refer Equation 8.21
+    
+end
+L=LHSV_inv(2)/LHSV_inv(1);
+kapp_ratio=kapp_rhob(1)/kapp_rhob(2);
+n=log10(kapp_ratio)/log10(L);
+
+//CALCULATION (Ex8.3.b)
+//FOR SULPHUR
+D_CHS=(7.4*(10^(-8))*(Chi*M_B)^(0.5)*T_K)/(myu*(V_A)^0.6);
+D_e_S=Epsilon_by_tau*D_pore_by_D_bulk*D_CHS;
+epsilon_holdup=0.6;// Assuming bed consists 60% catalyst
+k_app_S=k_app_rhob/(3600*epsilon_holdup);//Refer Ex8.3.a
+phi_app_S=R*(k_app_S/D_e_S)^(0.5);
+//FOR H2
+C_H2_corrected=C_H2_incorrect*(P_correct/P_incorrect);
+C_S_initial=m_feed*percent_S*10^(-2)/MW_S;
+Initial_rate=k_app_rhob*C_S_initial;
+k_app_H2=N_H2*Initial_rate/(3600*epsilon_holdup*C_H2_corrected);
+//Assume D_H2 is three times the value given by the Wilke–Chang Equation
+D_H2=3*(7.4*(10^(-8))*(Chi*M_B)^(0.5)*T_K)/(myu*(V_H2)^0.6);
+D_e_H2=Epsilon_by_tau*D_H2;
+phi_app_H2=R*(k_app_H2/D_e_H2)^(0.5);
+
+//OUTPUT (Ex8.3.a)
+mprintf('\n OUTPUT Ex8.3.a');
+mprintf('\n==========================================================');
+mprintf('\n\tThe Apparent rate constants are \n\t Run1 %0.2f hr-1 \n\t Run2 %0.2f hr-1  ',kapp_rhob(1),kapp_rhob(2))
+mprintf('\n\tThe exponent value = %0.1f hence the difference is not consistent with repect to equations (8.23) and (8.24) for the  apparent rate constants obtained',n);   
+mprintf('\n\tThe error may be due to error in assuming a first order reaction');
+
+//OUTPUT (Ex8.3.b)
+mprintf('\n\n\n OUTPUT Ex8.3.b');
+mprintf('\n==========================================================');
+mprintf('\n\tThe internal effectiveness factor based on Sulphur and Hydrogen diffusion are %0.2f and %0.2f respectively',phi_app_S,phi_app_H2);
+mprintf('\n\tThe internal effectiveness factor based on Hydrogen is negligible');
+
+//FILE OUTPUT
+fid= mopen('.\Chapter8-Ex3-Output.txt','w');
+mfprintf(fid,'\n OUTPUT Ex8.3.a');
+mfprintf(fid,'\n==========================================================');
+mfprintf(fid,'\n\tThe Apparent rate constants are \n\t Run1 %0.2f hr-1 \n\t Run2 %0.2f hr-1  ',kapp_rhob(1),kapp_rhob(2))
+mfprintf(fid,'\n\tThe exponent value = %0.1f hence the difference is not consistent with repect to equations (8.23) and (8.24)for the  apparent rate constants obtained',n);   
+mfprintf(fid,'\n\tThe error may be due to error in assuming a first order reaction');
+mfprintf(fid,'\n\n\n OUTPUT Ex8.3.b');
+mfprintf(fid,'\n==========================================================');
+mfprintf(fid,'\n\tThe internal effectiveness factor based on Sulphur and Hydrogen diffusion are %0.2f and %0.2f respectively',phi_app_S,phi_app_H2);
+mfprintf(fid,'\n\tThe internal effectiveness factor based on Hydrogen is negligible');
+mclose(fid);
+//============================================END OF PROGRAM=================================================
+