This allows the internal pressure in the vein to push the blood into the collect

Question

This allows the internal pressure in the vein to push the blood into the collection container. The needle is 0.800 mm in diameter and 2.24 cm long. The long tube is wide and smooth enough that we can assume its resistance is negligible, and that all the resistance to blood flow occurs in the narrow needle. How long does it take him to collect the sample?
This allows the internal pressure in the vein to push the blood into the collection container. The needle is 0.800 mm in diameter and 2.24 cm long. The long tube is wide and smooth enough that we can assume its resistance is negligible, and that all the resistance to blood flow occurs in the narrow needle. How long does it take him to collect the sample?

Explanation / Answer

From Poiseuille's law ?V/?t = pR^4(P1 - P2) /8nL Therefore the time taken is ?t = ?V (8nL) / pR^4(P1 - P2) = (18*10^-6 m^3) 8(2.7*10^-3)(2.24*10^-2m) / p(0.4*10^-3m)^4 (3.6*10^3Pa) = 30.0 sec

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