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Blood takes about 1.45 s to pass through a 2 mm long capillary. if the diameter of the capillary is 5 micrometers and the pressure drop is 2.35 kpa calculate the viscosity of blood

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Final answer:

To calculate the viscosity of blood through a capillary given the pressure drop, capillary dimensions, and time for blood to pass through, we would typically use Poiseuille's law. However, the flow rate is required for using Poiseuille's law, and since it is not provided in the question, we cannot calculate the viscosity without this information.

Step-by-step explanation:

We need to calculate the viscosity of blood given the capillary parameters and the pressure drop. The relationship between flow rate, viscosity, pressure drop, and dimensions of the capillary is given by Poiseuille's law. Unfortunately, without the flow rate, we cannot complete this calculation as Poiseuille's law involves the flow rate.

In general, Poiseuille's law for a cylindrical tube like a capillary is:

Q = (πΔPr^4) / (8ηl)

where:

Q is the flow rate,

π is Pi,

ΔP is the pressure difference,

r is the radius of the capillary,

η is the viscosity,

l is the length of the capillary.

To find the viscosity, we would rearrange this formula to solve for η. However, the flow rate Q is missing from the information provided, so we're unable to calculate without it.

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