Instead of running blood through a single straight vessel for a distance of 2 mm, one mammalian species uses an array of 100 smaller parallel pipes of the same total cross-sectional area, 4.0 mm2. Total volume flow is 1000 mm3/is. The pressure drop for fluid passing through the single pipe is lower than that through the 100 vessel array by a factor of:.A. 10.B. 100. C. 1000.

A. 10

Explanation:

For a single straight vessel; we can express the equation as;

Given that:

The total volume Q₁ = 1000 m/s²

Then the Q₂ = 1000/100 = 10 mm/s₂

However, the question proceeds by stating that 100 pipes of the same cross-section is being used.

Therefore, the formula for the area can be written as:

Divide both sides by

Making the subject of the formula;

However, considering a pipe in parallel

Relating equation (1) by (2); then solving; we have;

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