Air is a mixture of several gases. The 10 most abundant of these gases are liste

Question

Air is a mixture of several gases. The 10 most abundant of these gases are listed here along with their mole fractions and molar masses.

What mass of carbon dioxide is present in 1.00 m3 of dry air at a temperature of 25 degreesC and a pressure of 745 torr ?

Express your answer with the appropriate units.

Thank you in advance

Component Mole fraction Molar mass
(g/mol) Nitrogen 0.78084 28.013 Oxygen 0.20948 31.998 Argon 0.00934 39.948 Carbon dioxide 0.000375 44.0099 Neon 0.00001818 20.183 Helium 0.00000524 4.003 Methane 0.000002 16.043 Krypton 0.00000114 83.80 Hydrogen 0.0000005 2.0159 Nitrous oxide 0.0000005 44.0128

Explanation / Answer

V = 1 m3 = 1000 L,

T = 25°C = 298 K

P = 745 torr = 745/760 = 0.9802 atm

P-CO2 = 0.000375 * 0.9802 = 0.000367575 atm

P V= nRT

n = PV/(RT)

n = (0.000367575)(1000)/(0.082*298) = 0.0150423 moles

now

change to mass

mol = mass*Mw = 0.0150423*44 = 0.6618612 g = 661.86 mg of CO2

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