Rate of oxygen consumption while sleeping

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Discussion Overview

The discussion revolves around calculating the rate of oxygen consumption for a 71.40 kg man who requires 81.00 W of power while sleeping. Participants explore the relationship between power, energy, and oxygen consumption, with a focus on the units and calculations involved.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant presents a problem involving the rate of oxygen consumption and expresses uncertainty about how internal energy relates to the calculation.
  • Another participant requests clarification on the units of the answer, suggesting that it could be in L/min or mL/sec, and notes the conversion between these units.
  • A participant mentions dividing power by force (mg) to find velocity (v) but acknowledges that this approach may be incorrect.
  • There is a suggestion that the answer could be approximately 3.72 mL/sec, although this is not confirmed.
  • One participant realizes that watts are equivalent to J/s and that the initial rate in J/mL is 21.8, leading to a method for calculating mL/sec.
  • A later reply indicates agreement with a previous participant's reasoning.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct method or final answer, with multiple approaches and some uncertainty expressed regarding the calculations.

Contextual Notes

There are unresolved questions about the correct application of formulas and the relationship between power, energy, and oxygen consumption rates. The discussion includes varying interpretations of units and calculations.

Who May Find This Useful

Individuals interested in biophysics, exercise physiology, or those studying related homework problems may find this discussion relevant.

omc1
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Homework Statement

The oxygen taken in by the body reacts with fats, carbohydrates, and protein, liberating energy internally at a rate of about 2.180×104 J/L. If a 71.40 kg man requires 81.00 W of power even while sleeping, what is his rate of oxygen consumption?

Homework Equations

p=fv
f=mg


The Attempt at a Solution

i found a value for v but iam not sure how the internal energy plays into the answer? the value i got for v is wrong so iam not sure if i did the problem wrong or if it has to do with the other rate?
 
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Show what you did and how yo got the (incorrect) value. It is not clear to me what should be the unit of your answer - L/min? mL/sec? Something else? These can be easily interconverted though.

81 W - how many J per second? How many liter of oxygen per this number of J?
 
i divided the power by force(mg) to find v but i see that i would need to cancel the jouls out. my answer can be in mL/sec...
 
Is the answer is approximately 3.72 mL/sec?
 
omc1 said:
i divided the power by force(mg) to find v

That's off.

my answer can be in mL/sec...

OK. Follow the reasoning from my previous post - have you at least tried to understand it?
 
oh i see the watt is equal to J/s and the initial rate in J/ml is 21.8 so i just divide to get ml/s. thanks
 
@Nuke done, i think you're right
 

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