Question
Evaluate the claim, "The breath that you just took cor at least one molecule of air that was in the last breath Buddha, Siddhartha Gautama, who died about 400 s See Problem 64 and assume complete mixing of $\mathrm{E}$ atmosphere over 2400 years.
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A breath is approximately 500 mL of air. Given that air is primarily composed of nitrogen (N2) and oxygen (O2), and that the molar volume of a gas at standard temperature and pressure is approximately 22.4 L, we can calculate the number of molecules in a breath Show more…
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Evaluate the claim, "There are more molecules in one breath of air than there are breaths in Earth's entire atmosphere." Use the following information. The total mass of the atmosphere is about $5.2 \times 10^{21} \mathrm{~g}$. The average molecular mass of air is about 29 u. An average breath has a volume of about $0.50 \mathrm{~L}$ and a density of about $1.3 \mathrm{~g} / \mathrm{L}$.
It has been said that every breath we take, on average, contains molecules that were once exhaled by Wolfgang Amadeus Mozart (1756-1791). The following calculations demonstrate the validity of this statement. (a) Calculate the total number of molecules in the atmosphere. (Hint: Use the result in Problem $5.102$ and $29.0 \mathrm{~g} / \mathrm{mol}$ as the molar mass of air.) (b) Assuming the volume of every breath (inhale or exhale) is $500 \mathrm{~mL}$, calculate the number of molecules exhaled in each breath at $37^{\circ} \mathrm{C}$, which is the body temperature. (c) If Mozart's lifespan was exactly 35 years, what is the number of molecules he exhaled in that period? (Given that an average person breathes 12 times per minute.) (d) Calculate the fraction of molecules in the atmosphere that was exhaled by Mozart. How many of Mozart's molecules do we breathe in with every inhalation of air? Round off your answer to one significant figure. (e) List three important assumptions in these calculations.
It has been said that every breath we take, on average, contains molecules that were once exhaled by Wolfgang Amadeus Mozart (1756-1791). The following calculations demonstrate the validity of this statement. (a) Calculate the total number of molecules in the atmosphere. (Hint: Use the result in Problem 5.106 and $29.0 \mathrm{g} / \mathrm{mol}$ as the molar mass of air.) (b) Assuming the volume of every breath (inhale or exhale) is $500 \mathrm{mL},$ calculate the number of molecules exhaled in each breath at $37^{\circ} \mathrm{C},$ which is the body temperature. (c) If Mozart's life span was exactly 35 years, what is the number of molecules he exhaled in that period? (Given that an average person breathes 12 times per minute.) (d) Calculate the fraction of molecules in the atmosphere that was exhaled by Mozart. How many of Mozart's molecules do we breathe in with every inhalation of air? Round off your answer to one significant figure. (e) List three important assumptions in these calculations.
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