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1856 of 17.5 % was observed at 303 K and 7 bar for sample AC5-KS. The adsorbent AC5-KS is also chosen as the adsorbent in this study. The purpose of this study is to concentrate the H2 purity to higher than 99.9 % and to decrease the CO purity (<100ppm) for the use of fuel cell or other electrical power. Then CO2 is expected to be recovered to reduce the green-house-gas effect. Figure 1 shows a conventional process scheme to produce hydrogen by coal gasification (Bell et al.,2011). Figure1: Conventional process flow sheet for the production of hydrogen from coal gasification (Bell et al., 2011) 2. Methodology 2.1 Mathematical modelling In the non-isothermal dynamic model, the following assumptions are made: (1) the linear driving force model is used because mass transfer resistance between the gas phase and solid phase exists. (2) the equilibrium adsorptive quantity is estimated by using the extended Langmuir isotherm equation. (3) the ideal gas law is applicable. (4) non-isothermal operation is considered. (5) only axial concentration and temperature gradient are considered. (6) the pressure drop along the bed can be neglected due to large particle size. These assumptions are used in the following equations: Overall mass balance: ∂q εA ∂(P T ) n ∂n −= +(1−ε)Ai ∂z R ∂t i=1 ∂t Mass balance for component i: ∂εAD P∂y ∂(yq) εA∂yP ∂n ax,i i−i=i+(1−ε)Ai (1) ∂z RT ∂z ∂z R∂tT ∂t (2) Energy balance: (Ak)∂2T−∂(CpqT)−πDh(T−T ) ∂z2 ∂z ∞ εA∂ n∂ ∂T () ( ) ˆ = R ∂t CpP +(1−ε)A ∂tni CpiT−Hi +(1−ε)ρsCpsA∂t i =1 (3) Extended Langmuir-Freundlich isotherm equation: ρqbyniPni * sm,iii ni =1+n bynjPnj jj (4) qm,i=ai,1+(ai,2×T)ni =ni,1+(ni,2/T)bi=bi,0exp(bi,1/T) DD0E c = c exp− a r2 r2 RT cc j=1 where Linear driving force model: ∂Ni =K (N*−N) (5) ∂tLDFii Linear driving force coefficient (Malek et al.,1997): *2*2 1=Rpniρs+ Rp niρs+rc KLDF 3kf Ci 15εpDeff Ci 15Dc Micropore diffusivity: (6) (7)PDF Image | Carbon Dioxide Capture and Hydrogen Purification PSA
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