Example 10.3 For The System Methanol (1) / Methyl Acetate [PDF]

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Example 10.3 For the system methanol (1) / methyl acetate (2) ln γ 1 = Ax22



,



ln γ 2 = Ax12



ln P1sat = 16.59158 −



where ,



3643.31 T − 33.424



A = 2.771 − 0.00523T



ln P2sat = 14.25326 −



2665.54 T − 53.424



Assuming the validity of (10.5) , calculate : P , xi ; T = 318.5 K , y1 = 0.6 (b) DEW POINT calculation : for T = 318.5 K , y1 = 0.6 •



Star with assuming P=



γ1 = γ 2 = 1 1



•



Calculate P by



•



Calculate x1 by



•



Substitute xi into the activity coff. Eq ( γ , γ ) and



y1



x1 =



γ 1 P1



sat



y1 P γ 1 P1sat



+



y2



γ 2 P2sat



and



x2 = 1 − x1



1



compare with the assumed value • Return to the first step. • Another data: P1sat : ln P1sat = 16.59158 −



3643.31 318.5 − 33.424



;



P1sat = 44.51kPa



2



:



P2sat



ln P2sat = 14.25326 −



2665.54 318.5 − 53.424



A



:



A = 2.771 − 0.00523(318.5) = 1.107



γ1



:



2 γ 1 = exp ( 1.107 ) ( x2 )   



γ2



:



2 γ 2 = exp ( 1.107 ) ( x1 )   



;



P2sat = 65.64kPa



ɤ1(ne ɤ2(ne ɤ1



P/kPa



ɤ2



x1



x2



w)



w)



51.08 0.688 0.311 1.113 1.690 1



1



828



676



324



261



496



1.113 1.690 63.63 0.770 0.229 1.059 1.929 261



496



977



593



407



989



676



1.059 1.929 62.99 0.801 0.198 1.044 2.034 989



676



139



076



924



779



777



1.044 2.034 62.90 0.811 0.188 1.040 2.073 779



777



411



612



388



069



413



1.040 2.073 62.89 0.815 0.184 1.038 2.086 069



413



377



153



847



549



676



1.038 2.086 62.89 0.816 0.183 1.038 2.091 549



676



261



331



669



05



122



1.038 2.091 62.89 0.816 0.183 1.037 2.092 05



122



248



722



278



885



6



1.037 2.092 62.89 0.816 0.183 1.037 2.093 885



6



247



851



149



831



09



1.037 2.093 62.89 0.816 0.183 1.037 2.093 831



09



247



894



106



813



252



1.037 2.093 62.89 0.816 0.183 1.037 2.093 813



252



247



908



092



807



306



1.037 2.093 62.89 0.816 0.183 1.037 2.093 807



306



247



913



087



805



324



1.037 2.093 62.89 0.816 0.183 1.037 2.093 805



324



247



915



085



804



33



1.037 2.093 62.89 0.816 0.183 1.037 2.093 804



33



247



915



085



804



332



1.037 2.093 62.89 0.816 0.183 1.037 2.093 804



332



247



915



085



804



332



1.037 2.093 62.89 0.816 0.183 1.037 2.093 804



332



247



915



085



804



332



∴ P = 62.89274kPa, x1 = 0.816915, x 2 = 0.183085, γ 1 = 1.037804, γ 2 = 2.093332Q.E.D.



Navapon Pittayaporn 50290015 CHE