Miguel is a 25-year-old jogger with a target heart rate of 125 bpm. His resting pulse is 70 bpm. His blood volume is approximately 6.8 litres. At rest, his cardiac output is 6.3 litres/minute and his EDV is 150 ml. What is his stroke volume at rest?

1 Answer
Maxwell
Apr 7, 2017

0.09 ("Liters")/("beat")" at rest"0.09Litersbeat at rest

Explanation:

The equation that is going to be helpful for us is the following:

color(white)(aaaaaaaaaaaaaaa)color(blue)(CO = HR * SV)aaaaaaaaaaaaaaaCO=HR⋅SV

Where:

"CO=cardiac output: volume of blood the hearts pumps out"CO=cardiac output: volume of blood the hearts pumps out
color(white)(aaaaaa)"every minute (mL/min)"aaaaaaevery minute (mL/min)

"HR=heart rate:the number of beats per minute (beats/min)"HR=heart rate:the number of beats per minute (beats/min)

"SV= stroke volume:volume of blood pumped out by the"SV= stroke volume:volume of blood pumped out by the
color(white)(aaaaaa)"heart in 1 beat (Liters/beat)"aaaaaaheart in 1 beat (Liters/beat)

---------------------−−−−−−−−−−−−−−−−−−−−−

Isolate the unknown, plug in and solve.

Given

"CO" = 6.3 "Liters"/("min")color(white)(---)"HR" = 70 "beats"/("min")CO=6.3Litersmin−−−HR=70beatsmin

  • color(blue)(CO = HR * SV)CO=HR⋅SV
    color(white)(--)−−
  • (CO)/(HR) = SVCOHR=SV
    color(white)(--)−−
  • (6.3 "Liters"/cancel(min))/(70 "beats"/cancelmin) = "SV" = 0.09 ("Liters")/("beat")

color(orange)("Answer": "SV"= 0.09 ("Liters")/("beat")" at rest")

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