When Genghis Khan died, his last breath (like your most recent breath) contained

Question

When Genghis Khan died, his last breath (like your most recent breath) contained approximately 1 mole percent argon. Assume that his last breath was 500 cm^3 and the temperature and pressure were 300 K and 1 bar. Assuming the atmosphere is thoroughly mixed and that it extends 50 km above the surface, calculate how many breaths you need to take in order to, on average, breathe in one of the argon atoms from Khan's breath. First assume that the atmosphere has a pressure and temperature that are 1 bar and 300 K throughout. Will this estimate be too big or too small? Without doing it, state how you could improve the estimate.

Explanation / Answer

this estimate is too big !!

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