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notsam
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Homework Statement
Calculate the mass flow rate of blood (of den-sity 1 g/cm3) in an aorta with a cross-sectional
area of 2 cm2 if the flow speed is 43 cm/s .
Answer in units of g/s.
The formula for calculating mass flow rate of blood in the aorta is: mass flow rate = density of blood x cross-sectional area of the aorta x blood flow velocity.
The density of blood can be determined by taking the average density of plasma and red blood cells. The average density of plasma is 1.025 kg/m3 and the average density of red blood cells is 1.13 kg/m3. The density of blood can be calculated by using the following formula: density of blood = (percentage of plasma x density of plasma) + (percentage of red blood cells x density of red blood cells).
The average cross-sectional area of the aorta varies depending on a person's age, gender, and physical condition. However, on average, the diameter of the aorta is around 2 cm, which gives an approximate cross-sectional area of 3.14 cm2.
The blood flow velocity in the aorta can be measured using a variety of techniques, such as Doppler ultrasound or magnetic resonance imaging (MRI). These methods use sound waves or magnetic fields to measure the velocity of blood flow in the aorta.
The typical mass flow rate of blood in the aorta varies depending on a person's age, gender, and physical condition. However, on average, the mass flow rate of blood in the aorta is around 4-5 liters per minute in a healthy adult.