(b) The results indicate that the resistance to LDL transport provided by the endothelium is similar to that provided by the arterial wall.ġ.9 The oxygen consumption rate is VO = Q Cv − Ca where Q is the pulmonary blood flow and Cv 2Īnd Ca are the venous are arterial oxygen concentrations. Na+ in renal vein = Na+ in renal artery - Na+ excreted (1.25 L min-1 x 150mM – 150 mM day-1/(1440 min day-1))/1.249 L min-1 = 150.037 mM There is a slight increase in sodium concentration in the renal vein due to the volume reduction. (b) renal vein flow rate = renal artery flow rate – excretion rate = 1.19 L min-1 renal vein flow rate = 1.25 L min-1 – (1.5 L day-1)/(1440 min day-1) = 1.249 L min-1 (c) Na+ leaving glomerulus = 25,200 mmole day-1/180 L day-1 = 140 mM. Then the fraction of water filtered across the glomerulus is 18.2% for men and 16.67% for women. Then the water flow rate through kidney is 990 L day-1 for men and 1,080 L day-1 for women. (a) The water content is 55% and 60% of the whole blood for men and women, respectively. Therefore, diffusion is much faster than reaction and does not delay the oxygenation process. While larger than the difference for CO2, the pressure difference driving transport is much larger for O2 than CO2. Thus, the O2 concentration difference of 0.0025 M corresponds to 5.58 cm3 O2 per 100 cm3. At standard temperature (273.15 K) and pressure (1 atm = 101,325 Pa), 1 mole of gas occupies 22,400 cm3. Using data in problem (1.2), the total O2 concentration in blood is 0.0088 M in arterial blood and 0.0063 M in venous blood. For O2, PO2 changes from 38 to 100 mmHg after blood passes through lung artery. For CO2 70% is stored in plasma and 30% is in red blood cell. Most oxygen in blood is bound to hemoglobin. Corresponding values for women are 1.7% and 98.3% in arterial blood, and 0.93% and 99.07% in venous blood. Based on these data, the fraction of oxygen in plasma and bound to hemoglobin is 1.5% and 98.5% in arterial blood, and 0.83% and 99.17% in venous blood for men. PO2 and S are 95 mmHg and 95% for arterial blood and 38 mmHg 70% for venous blood. Since HO2 = HHb, equation (1.6.4) is simplified to the following: Therefore, convection is negligible compared with diffusion. (b) The distance between capillaries is 10-4 m, O2 needs to travel half of this distance, and Pe = 0.0455. When convection is the same as diffusion, Pe =1, L is 0.11cm. The relative importance of convection and diffusion is evaluated by Peclet number, vL Pe = (S1.1.1) Dij (a) Solving for L, L = PeDij/v. Solution to Problems in Chapter 1, Section 1.10 1.1. Solution Manual for Transport Phenomena in Biological Systems George A.
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