Final answer:
The work done by the left ventricle of the heart each time it beats can be calculated using the formula: Work = Pressure * Volume. By converting the flow rate to liters per minute and calculating the volume pumped per minute, we can determine the work done. Using the given information, the work done by the left ventricle is approximately 57.75 joules.
Step-by-step explanation:
The work done by the left ventricle of the heart each time it beats can be calculated using the formula:
Work = Pressure * Volume
- First, we need to convert the flow rate from cubic centimeters per second (cm³/s) to liters per minute (L/min).
- Then, we can calculate the volume of blood pumped per minute using the flow rate and stroke volume.
- Finally, we can calculate the work done by the left ventricle by multiplying the pressure increase by the volume of blood pumped per minute.
Using the given information:
- Flow rate = 83.0 cm³/s
- Pressure increase = 110 mm Hg
- Stroke volume ≈ 70-80 mL
Let's calculate the work:
- Convert flow rate to liters per minute: 83.0 cm³/s * (60 s/min) / (1000 cm³/L) = 4.98 L/min
- Calculate volume: Stroke volume * heart rate
- Assuming a heart rate of 70 beats per minute and a stroke volume of 75 mL, the volume pumped per minute would be 70 * 75 mL = 5250 mL/min = 5.25 L/min
- Calculate work: Work = Pressure increase * Volume pumped per minute
- Work = 110 mm Hg * 5.25 L/min = 577.5 mm Hg·L/min = 57.75 J (since 1 mm Hg·L = 1 J)
Therefore, the work done by the left ventricle of the heart each time it beats is approximately 57.75 joules.