Carbon dioxide makes up approximately 0.04% of Earth's atmosphere. If you collect a 2.7 L sample from the atmosphere at sea level (1.00 atm) on a warm day (25 ∘C), how many CO2 molecules are in your sample?

Question

Chemistry

Autumn Harrison

17 January, 03:00

Carbon dioxide makes up approximately 0.04% of Earth's atmosphere. If you collect a 2.7 L sample from the atmosphere at sea level (1.00 atm) on a warm day (25 ∘C), how many CO2 molecules are in your sample?

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Hudson Aguirre · Answer 1

2.66 x 10^19 CO2 molecules

Explanation:

0.04% = 0.04 / 100 = 0.00040

2.7 L air x (0.00040 L of CO2 is in 1 L air) = 0.00108 L CO2

Use the ideal gas law to find moles of CO2.

PV = nRT

n = PV / RT = (1.00 atm) (0.0012 L) / (0.0821 L atm / K mole) (298 K) = 4.44 x 10^-5 moles CO2

One mole of anything contains 6.02 x 10^23 particles.

4.44 x 10^-5 moles CO2 x (6.02 x 10^23 CO2 molecules / 1 mole CO2) = 2.66 x 10^19 CO2 molecules