$8)$ In $1895,$ Rayleigh and Ramsay measured the density of nitrogen gas in an attempt to determine its molar mass. They prepared chemical nitrogen by reacting nitrogen containing compounds and found a mass of $2\mathrm{.}2990$ g$.$ They also prepared atmospheric nitrogen by removing oxygen, carbon dioxide, and water vapor from air and found a mass of $2\mathrm{.}3102$ g$.$ Both masses were measured for the same volume at the same temperature and pressure. Using accurate modern molar masses for nitrogen and argon, calculate the mole fraction of the argon they discovered in atmospheric nitrogen to three sigfigs.