Given.
assuming steady state 1 D Diffusion through sphere.
inside He conc = C1 = 7.3 * 10 ^(-4) kmol/m³
outside He conc = 0 kmol/m³
D =diffusivity of He= 4.5 * 10^ (-15) m²/s.
surface area of sphere = 4*π*r1*r2
where r1 and r2 are inside and outside radius if sphere.
r1= 0.75-0.05=0.7 m
r2= 1.5/2 = 0.75 m
As=4πr1*r2=4*π*0.7*0.75=6.5973 m².
Molar of Diffusion by Ficks Law through sphere.
NA = 4πr1*r2*D *(C1-C2)/(r2-r1) ..units.....kmol/sec
Na = 6.5973*4.5 * 10^ (-15)*{(7.3 * 10 ^(-4)-0)}/(0.75-0.7)
thus molar flow.
ii)NA= 4.3343* 10^(-16) kmol/sec
iii)MA= 4*Na where Ma is mass flow rate of helium.
mass flow rate = 1.732*10^(-15) kg/sec.
i) Diffusional resistance = rate / conc diff
=D /(r2-r1)
=4.5 * 10^ (-15)/(0.75-0.7)
= 9 *10^( -14) m/sec .
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