A typical human contains 5.00 l of blood, and it takes 1.00 min for all of it to pass through the heart when the person is resti
ng with a pulse rate of 74.0 heartbeats/ minute. on the average, what volume of blood, in (a) liters and (b) cubic centimeters, does the heart pump during each beat?
2 answers:
<em>Volume of blood, in (a) liters = 0.0675 liters and (b) cubic centimeters = 67.5 cm³</em>
<h3><em>Further explanation </em></h3>7 main quantities have been determined based on international standards, namely:
1. Length, meters (m)
2. Time, second (s)
3. Mass, kilograms (kg)
4. Temperature, kelvin (K)
5. Light intensity, candela (cd)
6. Electric current, ampere (A)
7. Amount of substance, mol (m)
The length of the principal is to indicate the distance between two points in a place
The symbol is usually expressed in l, length
Volume is a derivative quantity derived from the length of the principal
The unit of volume can be expressed in liters or milliliters or cubic meters
The conversion is
1 cc = 1 cm³
1 dm = 1 Liter
1 mL = 1 cm³
1 L = 1 dm³
From the question, 5 liters of blood passes through the heart in 1 minute
The heart beats 74 times/minute
So that the equation is easy as follows:
5 liters = 1 minute
74 beats = 1 minute
So that in 1 heartbeat there is as much blood volume as:
= 5 liters / 74 beats
= 0.0675 liters
When we convert to cm³ it becomes:
1 L = 1 dm³ = 10³ cm³
0.0675 liters = 0.0675.10³ cm³
= 67.5 cm³
<h3><em>Learn more </em></h3>
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Keywords: volume, liters, heart, beats, blood
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Explanation:
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As per mass flow equality which states that the rate of flow of mass in the inlet is equal to the product of area of the tube with the velocity of the water and the density of the tube.
Since, the inlet volume flow is measured as the product of velocity with the area.
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Since, the time and area is constant, the inlet and outlet will be same as
(Mass inlet)/(density*inlet velocity)=Area*Time
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(Specific volume inlet)/(Inlet velocity)=(Specific volume outlet)/(Outlet velocity)
Inlet velocity= (Specific volume inlet)/(Specific volume outlet)*Outlet velocity
As, the specific volume of water at inlet is 0.001017 m³/kg and at outlet is 0.05217 m³/kg and the outlet velocity is given as 72 m/s, the inlet velocity
is
So, the inlet velocity is 1.4035 m/s.
Then the inlet volume will be
As the diameter of tube is 130 mm, then the radius is 65 mm and inlet velocity is 1.4 m/s
So, the inlet volume is 0.019 m³/s.
Thus, the inlet velocity is 1.4 m/s and inlet volume is 0.019 m³/s.
Explanation:
Below is an attachment containing the solution.
