Question

As blood passes through the capillary bed in an organ, the capillaries join to form venules (small veins). If the blood speed increases by a factor of 4.00 and the total cross-sectional area of the venules is 10.0cm2, what is the total cross-sectional area of the capillaries feeding these venules?

Answer 1

`A_2 = 2.5\ cm^2`

Step-by-step explanation:

given,

velocity factor = 4

Cross-sectional area of venules(A₁) = 10 cm²

cross sectional area of capillaries(A_2) = ?

continuity equation = Q = AV

now,

`(A_1)/(A_2) = (V_2)/(V_1)`

`(10)/(A_2) =4`

`(10)/(4) =A_2`

`A_2 = 2.5\ cm^2`

hence, the area of capillaries is equal to 2.5 cm₂