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Vapor Loss From A Spherical Tank

diffusion benzene spherical tank

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#1 PainRinnegan25

PainRinnegan25

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Posted 26 June 2014 - 12:10 AM

Hi everyone!

 I need your help in this. It is a problem from our ChE Licensure exam.

 

A 1-m inside diameter spherical tank is 75% full of liquid benzene at 25 oC. The cap of the 70-mm diameter opening at the top of the tank was not put in place by mistake causing a benzene vapor loss through the opening. Calculate the rate of loss of benzene by molecular diffusion if the pseudo-state condition is assumed to apply. The temperature is at 25 oC and the pressure is 1 atm. The cap is very short and the diffusion through the open space within the vessel needs only to be considered. The vapor pressure of benzene at 25 oC is 0.127 bar.

 

 



#2 breizh

breizh

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Posted 28 June 2014 - 11:32 PM

hi PainRinnegan25,

 

Consider this resource , with examples . This should support your query  ( example 1) .

 

D benzene-air (diffusion coefficient) needs to be calculated or evaluated unless available .

 

http://www.umich.edu...leven/exam4.htm

 

D c6h6/air should be 0.089487 cm2/s

z2-z1 = 0.25 m

y1 =0.127 /1.01325 =0.125339

y2=0 : air (atmosphere)

c= P/(RT)= 0.040873 kmol/m3

 

>>>> Flux of c6h6 /air = C*D* ln ((1-y2)/(1-y1))/(z2-z1) >>>> mass = flux * molecular weight  * section cap

 

# 0.5 kg/day

 

Hope this helps

 

Breizh


Edited by breizh, 29 June 2014 - 04:55 AM.





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