Question

Equal masses of carbon dioxide (CO2) and oxygen (O2) are mixed. What is the mole
fraction of oxygen in this mixture?
A) 0.4211
B)0.2500
C)0.7500
D) 0.661

Answer 1

The mole fraction of oxygen in this mixture is = 0.5789  which is not listed  in the options. while the mole fraction of carbon dioxide = 0.4211 ( A )

Given that :

Mass of carbon dioxide = mass of oxygen

lets assume the given mass  = x

first step : determine the moles of CO₂ and O₂

moles of CO₂ = mass / molar mass of CO₂

                       = x / 44

moles of O₂  =  mass / molar mass of O2

                     = x / 32

∴ mole fraction of O₂ = moles of O₂ / ( Total moles in the mixture )

                                   = $\frac{x}{32} / ( \frac{x}{44} + \frac{x}{32} )$

                                   = $\frac{44*32*(x)}{32 * 76 *(x)}$  = 0.5789

While the mole fraction of Carbon dioxide = 1 - 0.5789 = 0.4211

hence the mole fraction of oxygen in this mixture = 0.5789 while the mole fraction of Carbon dioxide = 0.4211

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