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Ideal Gas Equation

While resting...

Question

While resting, the average human male use $0.2 d m^{3}$ of $O_{2}$ per hour at STP for each kg of body mass. Assume that all this $O_{2}$ is used to produced energy by oxidising glucose in the body. What is the mass of glucose required per hour by a resting male having mass $60$ kg. What volume, at STP of $C O_{2}$ would be produced.

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Solution

$C_{6} H_{12} O_{6} + 6 C O_{2} \to 6 C O_{2} + + 6 H_{2} O$
$0.08928 m o l e (\frac{0.2}{22.4}) \times 60 m o l e 0.53568 m o l e$
$= 16.071 g m = 11.9999 l i t$

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