Question

In: Chemistry

An unknown pollutant gas has contaminated one of your samples of Ne(g). You test your Ne...

An unknown pollutant gas has contaminated one of your samples of Ne(g). You test your Ne sample, at constant T and P and find that it effuses through a balloon 3.87 times more rapidly than a pollutant. What is the molar mass of the pollutant gas?

Solutions

Expert Solution

According to Grahm's law of diffusion, at constant Temperature & pressure the rate is inversily proportional to the squareroot of its molar mass of that gas

For a two case system ,

r' = rate of Ne gas = 3.87 times that of pollutant

r = rate of unknown gas

M' = molar mass of Ne = 20 g / mol

M = Molar mass of unknown gas = ?

Plug the above values we get

                                                  

                                                 

                                              20/M = 0.26 2

                                               20 / M = 0.0676

                                                       M = 20 / 0.0676

                                                           = 295.9 g/mol

Therefore the molar mass of the unknown pollutant gas is 295.9 g/mol


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