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A tapered tube of length 8cm and end diameters 2cm and 4cm connects two vessels containing mixtures of A and B. if the tapered tube is replaced with a cylindrical tube of diameter 6cm, what will be the required length of the cylindrical tube to maintain the same flow rate as in the previous case?

(a) 8cm

(b) 16cm

(c) 36cm

(d) 48cm

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Asked question is from Diffusion through Variable Area topic in section Diffusion in Solids and Molecular Diffusion in Fluids of Mass Transfer

1 Answer

0 votes
by (39.8k points)
Right choice is (c) 36cm

To explain: – (Area)*(flux) =Constant=W

                          W1 for cylinder= (πr^2 DAB(P1-P2))/RTL

                          W2 for tapered tube = (πDAB*r1*r2(P1-P2))/RTL

                                  Equate W1 and W2.

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