Input interpretation
oxygen delivery
Equation
DO_2 = SV HR CaO_2 | DO_2 | oxygen delivery CaO_2 | arterial oxygen content SV | stroke volume HR | heart rate
Input values
arterial oxygen content | 20 mL/dL (milliliters per deciliter) stroke volume | 70 mL/beat (milliliters per beat) heart rate | 70 bpm (beats per minute)
Results
oxygen delivery | 0.98 L/min (liters per minute) = 15.53 gal/h (gallons per hour) = 980 mL/min (milliliters per minute) = 58800 mL/h (milliliters per hour) = 1411 L/day (liters per day) = 980 cm^3/min (cubic centimeters per minute)
Possible intermediate steps
Calculate the oxygen delivery using the following information: known variables | | CaO_2 | arterial oxygen content | 20 mL/dL SV | stroke volume | 70 mL/beat HR | heart rate | 70 bpm Convert known variables into appropriate units using the following: 1 mL/dL = 1/100: 1 mL/beat = 1×10^-6 m^3/beat: 1 bpm = 0.0167 beats/s: known variables | | CaO_2 | arterial oxygen content | 1/5 SV | stroke volume | 7/100000 m^3/beat HR | heart rate | 7/6 beat/s The relevant equation that relates oxygen delivery (DO_2), arterial oxygen content (CaO_2), stroke volume (SV), and heart rate (HR) is: DO_2 = SV HR CaO_2 Substitute known variables into the equation: known variables | | CaO_2 | arterial oxygen content | 1/5 SV | stroke volume | 7/100000 m^3/beat HR | heart rate | 7/6 beat/s | : DO_2 = 1/5×7×10^-5 m^3/beat×1.17 beat/s Separate the numerical part, 1/5×7×10^-5×1.17, from the unit part, m^3/beat×beat/s = m^3/s: DO_2 = 1/5×7×10^-5×1.17 m^3/s Evaluate 1/5×7×10^-5×1.17: DO_2 = 1.63×10^-5 m^3/s Convert 1.63×10^-5 m^3/s into L/min (liters per minute) using the following: 1 m^3/s = 60000 L/min: Answer: | | DO_2 = 0.98 L/min