When Julius Caesar expired, his last exhalation had a volume of 500 cm^3 and contained 1.00 mole percent argon. Assume that T = 300 K and P = 1.00 atm at the location of his demise. Assume further that T has the same value throughout the Earth’s atmosphere. If all of his exhaled Ar atoms are now uniformly distributed throughout the atmosphere, how many inhalations of 500 cm^3 must we make to inhale one of the Ar atoms exhaled in Caesar’s last breath? Calculate the number of Ar atoms in the atmosphere in the simplified geometry of a plane of area equal to that of the Earth’s surface.