Question

As of August 2019 the population of the Earth is 7.7 billion (7.7 x 10°)

people. If every person were to count atoms at a rate of 3 atoms per
second (3 atoms/person•sec), how many years would it take for the
collective count to reach 6.0 x 1023 atoms? Assume that there are 365
days in a year.

Answer 1

Answer: 8.24x10^5 years, or 8.24x10^3 centuries

Explanation: Sequential conversions to arrive at a total population rate of 2.31x10^10 atoms/sec for the entire population. Total seconds would be (6.02x10^23 atoms/2.31x10^10 atoms/sec) = 2.60x10^13 seconds. No breaks allowed, then (2.60x10^13 seconds)/(3.1536x10^7 sec/year)= 8.24x10^5 years.