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food_energy.tex
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@ -58,6 +58,7 @@ A proto-college-student at Winona's China King Buffet, dreaming about visiting t
\subsection{Converting food into body heat} \subsection{Converting food into body heat}
Planning to save money, one college student decides to go to an all-you-can-eat buffet each day at 11am, eg figure \ref{buffet}. If he brings homework and stretches the meal out for a few hours he can get all $3000kcals$ with only one bill. Food is fuel for the human body -- could too much fuel make his body feel sick? If his body burned all this food at once, how much warmer would he get? Planning to save money, one college student decides to go to an all-you-can-eat buffet each day at 11am, eg figure \ref{buffet}. If he brings homework and stretches the meal out for a few hours he can get all $3000kcals$ with only one bill. Food is fuel for the human body -- could too much fuel make his body feel sick? If his body burned all this food at once, how much warmer would he get?
Useful information: the student has a mass of $80kg$ and is made mostly of water. A Calorie heats $1 kg$ of water $1^{\circ}C$. Useful information: the student has a mass of $80kg$ and is made mostly of water. A Calorie heats $1 kg$ of water $1^{\circ}C$.
% per Jane Jackson, maybe mention that 3000 Calories/day isn't necessarily healthy? Eg Balanced diet?
Here's a possible answer: Here's a possible answer:
equate food energy with calorimetric heating and assume human bodies have the same heat capacity as water, about $1\frac{kcal}{kg\cdot\degC}$. This allows us to calculate the body's temperature increase. equate food energy with calorimetric heating and assume human bodies have the same heat capacity as water, about $1\frac{kcal}{kg\cdot\degC}$. This allows us to calculate the body's temperature increase.