Calculating the Number of Molecules in a Cubic Meter of GasHow many molecules are in a typical object, such as gas in a tire or water in a glass? This calculation can give us an idea of how large N typically is. Let’s calculate the number of molecules in the air that a typical healthyyoung adult inhales in one breath, with a volume of 500 mL, at standard temperature and pressure (STP), which is defined as 0 ºC and atmospheric pressure. (Our young adult is apparently outside in winter.)StrategyBecause pressure, volume, and temperature are all specified, we can use the ideal gas law, pV = NkB T, to find N

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Calculating the Number of Molecules in a Cubic Meter of Gas
How many molecules are in a typical object, such as gas in a tire or water in a glass? This calculation can give us an idea of how large N typically is. Let’s calculate the number of molecules in the air that a typical healthy
young adult inhales in one breath, with a volume of 500 mL, at standard temperature and pressure (STP), which is defined as 0 ºC and atmospheric pressure. (Our young adult is apparently outside in winter.)
Strategy
Because pressure, volume, and temperature are all specified, we can use the ideal gas law, pV = NkB T, to find N

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