# Word problem to understand the large size of Avogadro's Number

1. Dec 6, 2015

### E20

1. Asume that you distribute Avogadro's Number of dollars evenly among each of the 4.5 x 109 people on earth. Further, assume that everyone spends $1000 each second, day and night. What percentage of each person's wealth will have been spent after one year? 2. Avogadro's Number = 6.02 x 1023 3. a) "distribute evenly among" = (6.02 x 1023 / 4.5 x 109) because$/ppl

b) "everyone spends $1000 each second... after one year" = ($1000 x 3.1536 x 107 s) = 3.1536 x 1010
(31536000 = 60 s x 60 min x 24 hr x 365 day)

c) "What percentage of each person's wealth will have been spent after 1 year"
each person's total wealth = x
percent spent = n

3. Dec 6, 2015

### SteamKing

Staff Emeritus
Boy, is this problem old! The world's population was estimated to be 4 billion in 1974 and 5 billion in 1987. It hasn't been 4.5 billion in about 30 years or so.