Answer:
The values are [tex]I_L = 500.37 \ mL / minutes [/tex]
and [tex]I_r = 299.63 \ mL / minutes [/tex]
Explanation:
From the question we are told that
The pressure at the bifurcation of the femoral artery is [tex]P = 100\ mm\ Hg[/tex]
The pressure at the left or right femoral artery is [tex]P_r = P_l = 10 \ mm \ Hg[/tex]
The resistance in the left femoral artery is [tex]R_L[/tex]
The resistance in the right femoral artery is [tex]R_r = 1.67 R_L[/tex]
The total flow rate is [tex]I = 800 mL/minute[/tex]
The diagram illustrating this question is shown on the first uploaded image
Generally this flow of blood through the artery can be compared to the a circuit as shown on the first uploaded image
Generally the rate at which blood flows through the left femoral artery is mathematically represented as
[tex]I_L = I * \frac{R_r }{R_L + R_r}[/tex]
=> [tex]I_L = 800 * \frac{1.67 R_L }{R_L + 1.67 R_L}[/tex]
=> [tex]I_L = 800 * \frac{1.67 R_L }{2.67 R_L}[/tex]
=> [tex]I_L = 500.37 \ mL / minutes [/tex]
Generally the rate at which blood flows through the right femoral artery is mathematically represented as
[tex]I_r = I * \frac{R_L }{R_L + R_r}[/tex]
=> [tex]I_r = 800 * \frac{R_L }{R_L + 1.67 R_L}[/tex]
=> [tex]I_r = 800 * \frac{ R_L }{2.67 R_L}[/tex]
=> [tex]I_r = 299.63 \ mL / minutes [/tex]
