The average adult heart pumps about [tex]$84 . mL / s$[/tex] of blood at 72 beats per minute. Suppose you need to calculate how long it would take the average heart to circulate [tex]$7400 . mL$[/tex] of blood. Set the math up, but don't do any of it. Just leave your answer as a math expression. Also, be sure your answer includes all the correct unit symbols.
[tex]time=[/tex]
Answer (2)
Divide the total volume of blood to be circulated by the rate at which the heart pumps blood.
Set up the equation: time = 84 s m L 7400 mL .
Calculate the time: time ≈ 88.095 s .
The time it takes for the average heart to circulate 7400 m L of blood is approximately 88.095 s .
Explanation
Understanding the Problem We are given that the average adult heart pumps blood at a rate of 84 s m L . We need to find out how long it takes for the heart to circulate 7400 m L of blood.
Setting up the Calculation To find the time it takes to circulate the blood, we will divide the total volume of blood by the rate at which the heart pumps blood.
Calculating the Time The time can be calculated as: time = Rate Total Volume = 84 s m L 7400 mL
Final Answer The result of the division is approximately 88.095 seconds.
Examples
Imagine you are filling a swimming pool with water. If you know the total volume of the pool (in m L ) and the rate at which water is flowing from the hose (in m L / s ), you can calculate how long it will take to fill the pool. Similarly, in our problem, we are calculating how long it takes for the heart to circulate a certain volume of blood, given the rate at which it pumps blood.
To calculate the time it takes for the heart to circulate 7400 m L of blood, we set up the expression time = 84 s m L 7400 mL . This expression allows us to find the duration in seconds. The calculation itself has not been performed, as per the question's request.
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