Homework Help: Problem

Posted by asd on Saturday, December 15, 2012 at 7:26am.

A latex balloon, wall thickness 3.091 x 10-4 m, contains helium at a concentration of 0.92 kg m-3. Under these conditions the total surface area of the balloon is 0.26 m2. The diffusion coefficient of He in latex at room temperature is 4.9 x 10-9 m2s-1. Calculate the rate of helium effusion (in g/hr) from the balloon.

Physics needs help - PsyDAG, Saturday, December 15, 2012 at 12:43pm
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Problem - Stud, Saturday, December 15, 2012 at 11:21pm
Fick’s Law
M= -D•(Δρ/Δx)•A,
where
M = m/t = mass flux [kg/s],
D= 4.9•10 ⁻⁹ m ²/s is the diffusion coefficient (diffusivity) [m²/s],
Δρ/Δx is the gradient of density [kg/m⁴],
A is the area [m²].

M= - 4.9•10⁻⁹•(0 - 0.35)/3.091•10⁻⁴)•0.88 =
4.9•10⁻⁹•0.35•0.88/3.091•10⁻⁴=
=4.88•10⁻⁶ kg/s= 17.58 g/hr

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