Carbon dioxide makes up approximately 0.04% of Earth's atmosphere. If you collect a 2.9 L sample from the atmosphere at sea level (1.00 atm) on a warm day (27 ∘C), how many CO2 molecules are in your sample?

Question

Physics

Solis

22 December, 14:55

Carbon dioxide makes up approximately 0.04% of Earth's atmosphere. If you collect a 2.9 L sample from the atmosphere at sea level (1.00 atm) on a warm day (27 ∘C), how many CO2 molecules are in your sample?

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Answers (1)

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Jimena Berger · Answer 1

number of molecules = 2.83 x 10^19

Explanation:

0.04 % means 0.04 L CO_2 in 100 L atmosphere

so for 2.9 L atmosphere CO2 vol = (0.04/100) x 2.9 = 0.00116

T = 27°C = 300 K, P = 1 atm,

n = PV/RT = (1 x 0.00116) : (0.08206x300) = 4.71*10^{-5}

number of molecules = 6.023 x 10^23 x 4.71*10^{-5} = 2.83 x 10^19