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Question - 1 In an oxygen -nitrogen mixture at 10 atmosphere and 25 oc , the concentration of oxygen at two places 0.2 cm apart are 10 and 20 volume percent respectively. The rate of diffusion of oxygen expressed as g /cm2 -hr for the case of unicomponent diffusion ( nitrogen is non diffusing ) ,will be value of diffusivity =0.181 cm2/s Solution - Na = Dab *Pt *( Pa1 - Pa2)/Rt *Zp *Pbm Given - Dab = 0.181 cm2/s Pt =10 atm T = 273 +25 =298 ok Z=0.2 cm R = 82.06 atm -cc/g-mol ok Now ,
volume percent = mole percent Pa1 = 0.2 *10 =2 atm Pa2 =0.1*10 =1 atm Pa1 +Pb1 = Pa2 +Pb2 = Pt =10 atm Pb1 =8 atm , Pb2 =9 atm Pbm = Pb2 -Pb1/ ln Pb2/Pb1 = 9-8 /ln 9/8 = 8.49 atm Na = 0.181 *10 *(2-1) /82.06 *298 *0.2 *8.49 = 4.36 *10^-5 g-mol/s -cm2 = 4.36 *10^-5*32*3600 =5.022 g /cm2-hr
Question - 1 In an oxygen -nitrogen mixture at 10 atmosphere and 25oc , the concentration of oxygen at two places 0.2 cm apart are 10 and 20 volume percent respectively. The rate of diffusion of oxygen expressed as g /cm2 -hr for the case of unicomponent diffusion ( nitrogen is non diffusing ) ,will be value of diffusivity =0.181 cm2/s Solution - Na = Dab *Pt *( Pa1 - Pa2)/Rt *Zp *Pbm Given - Dab = 0.181 cm2/s Pt =10 atm T = 273 +25 =298 ok Z=0.2 cm R = 82.06 atm -cc/g-mol ok Now , volume percent = mole percent Pa1 = 0.2 *10 =2 atm Pa2 =0.1*10 =1 atm Pa1 +Pb1 = Pa2 +Pb2 = Pt =10 atm Pb1 =8 atm , Pb2 =9 atm Pbm = Pb2 -Pb1/ ln Pb2/Pb1 = 9-8 /ln 9/8 = 8.49 atm Na = 0.181 *10 *(2-1) /82.06 *298 *0.2 *8.49 = 4.36 *10^-5 g-mol/s -cm2 = 4.36 *10^-5*32*3600 =5.022 g /cm2-hr
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